Download or read book Branes and DAHA Representations written by Sergei Gukov and published by Springer Nature. This book was released on 2023-08-28 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometry, quantum field theory, and string theory. One of the challenges of modern mathematical physics is to understand rigorously the idea of quantization. The program of quantization by branes, which comes from string theory, is explored in the book. This open access book provides a detailed description of the geometric approach to the representation theory of the double affine Hecke algebra (DAHA) of rank one. Spherical DAHA is known to arise from the deformation quantization of the moduli space of SL(2,C) flat connections on the punctured torus. The authors demonstrate the study of the topological A-model on this moduli space and establish a correspondence between Lagrangian branes of the A-model and DAHA modules. The finite-dimensional DAHA representations are shown to be in one-to-one correspondence with the compact Lagrangian branes. Along the way, the authors discover new finite-dimensional indecomposable representations. They proceed to embed the A-model story in an M-theory brane construction, closely related to the one used in the 3d/3d correspondence; as a result, modular tensor categories behind particular finite-dimensional representations with PSL(2,Z) action are identified. The relationship of Coulomb branch geometry and algebras of line operators in 4d N = 2* theories to the double affine Hecke algebra is studied further by using a further connection to the fivebrane system for the class S construction. The book is targeted at experts in mathematical physics, representation theory, algebraic geometry, and string theory. This is an open access book.
Download or read book Categorification in Geometry Topology and Physics written by Anna Beliakova and published by American Mathematical Soc.. This book was released on 2017-02-21 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorification is a powerful tool for relating various branches of mathematics and exploiting the commonalities between fields. It provides a language emphasizing essential features and allowing precise relationships between vastly different fields. This volume focuses on the role categorification plays in geometry, topology, and physics. These articles illustrate many important trends for the field including geometric representation theory, homotopical methods in link homology, interactions between higher representation theory and gauge theory, and double affine Hecke algebra approaches to link homology. The companion volume (Contemporary Mathematics, Volume 683) is devoted to categorification and higher representation theory.
Download or read book New Dualities of Supersymmetric Gauge Theories written by Jörg Teschner and published by Springer. This book was released on 2015-11-17 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews a number of spectacular advances that have been made in the study of supersymmetric quantum field theories in the last few years. Highlights include exact calculations of Wilson loop expectation values, and highly nontrivial quantitative checks of the long-standing electric-magnetic duality conjectures The book starts with an introductory article presenting a survey of recent advances, aimed at a wide audience with a background and interest in theoretical physics. The following articles are written for advanced students and researchers in quantum field theory, string theory and mathematical physics, our goal being to familiarize these readers with the forefront of current research. The topics covered include recent advances in the classification and vacuum structure of large families of N=2 supersymmetric field theories, followed by an extensive discussion of the localisation method, one of the most powerful tools for exact studies of supersymmetric field theories. The quantities that have been studied in this way are partition functions, expectation values of line operators, and supersymmetric indices. The book also reviews recently discovered connections between SUSY field theories in four dimensions and two-dimensional conformal field theory. These connections have a counterpart in relations between three-dimensional gauge theories and Chern-Simons theory; the book’s closing chapters explore connections with string theory.
Download or read book Instanton Counting Quantum Geometry and Algebra written by Taro Kimura and published by Springer Nature. This book was released on 2021-07-05 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras. The key concept is the instanton, which is a solution to the anti-self-dual Yang–Mills equation in four dimensions. In the first part of the book, starting with the systematic description of the instanton, how to integrate out the instanton moduli space is explained together with the equivariant localization formula. It is then illustrated that this formalism is generalized to various situations, including quiver and fractional quiver gauge theory, supergroup gauge theory. The second part of the book is devoted to the algebraic geometric description of supersymmetric gauge theory, known as the Seiberg–Witten theory, together with string/M-theory point of view. Based on its relation to integrable systems, how to quantize such a geometric structure via the Ω-deformation of gauge theory is addressed. The third part of the book focuses on the quantum algebraic structure of supersymmetric gauge theory. After introducing the free field realization of gauge theory, the underlying infinite dimensional algebraic structure is discussed with emphasis on the connection with representation theory of quiver, which leads to the notion of quiver W-algebra. It is then clarified that such a gauge theory construction of the algebra naturally gives rise to further affinization and elliptic deformation of W-algebra.
Download or read book Sergei Gukov Mikhail Khovanov and Johannes Walcher written by Sergei Gukov: and published by American Mathematical Soc.. This book was released on 2016-12-23 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout recent history, the theory of knot invariants has been a fascinating melting pot of ideas and scientific cultures, blending mathematics and physics, geometry, topology and algebra, gauge theory, and quantum gravity. The 2013 Séminaire de Mathématiques Supérieures in Montréal presented an opportunity for the next generation of scientists to learn in one place about the various perspectives on knot homology, from the mathematical background to the most recent developments, and provided an access point to the relevant parts of theoretical physics as well. This volume presents a cross-section of topics covered at that summer school and will be a valuable resource for graduate students and researchers wishing to learn about this rapidly growing field.
Download or read book Geometry and Physics written by Andrew Dancer and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics, this volume will be of interest to researchers and graduate students in geometry and mathematical physics.
Download or read book Clinical Approach to Infection in the Compromised Host written by R. Rubin and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Infection in the Compromised Host" has become a classic chapter in textbooks devoted to infectious diseases and internal medicine. The numbers of compromised hosts are increasing in the era of modem medicine because of our expanded capabilities to deal with difficult diseases, especially neoplasms. As a consequence, microbiologic complications related to the intensive care administered to these patients are increasing as well. Under these circum stances, not only does the underlying illness create conditions favorable for the development of unusual infections, but often the therapy contributes to the acquisition of potential pathogens that turn into agents responsible for severe and frequently fatal disease. Granulocytopenia and immunosuppression have been the two key fac tors in predisposing patients with cancer and other serious diseases to severe bacterial infections. Colonization by hospital-acquired pathogens and breaks in the anatomic barriers-as a result of disease or medical intervention-have contributed to the high incidence of infectious diseases in these patients. Although there is some overlap between the types of infection in granulocytopenic and immunosuppressed hosts, each ofthese clinical entities has distinctive features thatjustify considering them separately, reserving the term immunocompromised hosts only when refer ring to patients who are predisposed to opportunistic infections. For about two decades, infections in granulocytopenic patients have attracted the atten tion of clinicians because they represent a model for the study of antimicrobial drugs in hosts deprived of an essential element of defense against bacterial infection, that is, an adequate number of normally functioning granulocytes.
Download or read book Clinical Nephrotoxins written by Marc E. de Broe and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: GEORGE A. PORTER information is an international commodity whose The field of clinical nephrotoxicity involves toxins of interpretation and application are strongly influenced diverse origin and exposure. A significant contribution by both the cultural and ethnic background of the to this problem arises from registered and non-regis observer. The opportunity to share in the rich diversity tered drugs either prescribed or purchased over the of the international scientific community was a fun counter. Another major contributor comes from occu pational or industrial exposures. Each situation pre damental goal of this endeavor. To participate as sents the nephrologist with unique challenges con equals leads to mutual respect and peer appreciation. cerning diagnosis, confirrnation, and treatment includ The sharing of intellectual resources which such an ing limitation from future exposure. In selecting drugs effort fosters, should facilitate the advancement of for inclusions in this book the editors were guided by sound science. both frequency and current knowledge. For occupa Our approach to the field of nephrotoxicity is from tionall environmental exposures similar guidelines the perspective of a book which will be of value to the were applied. As one reviews the world's literature clinician. In this respect we have chosen compounds concerning nephrotoxicity two types of investigation wh ich are of current importance to the nephrologist and his/her patient rather than of historical interest.
Download or read book Tumor Microenvironment and Cellular Stress written by Constantinos Koumenis and published by Springer Science & Business Media. This book was released on 2013-11-23 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The collection of chapters in this proceeding volume reflects the latest research presented at the Aegean meeting on Tumor Microenvironment and Cellular Stress held in Crete in Fall of 2012. The book provides critical insight to how the tumor microenvironment affects tumor metabolism, cell stemness, cell viability, genomic instability and more. Additional topics include identifying common pathways that are potential candidates for therapeutic intervention, which will stimulate collaboration between groups that are more focused on elucidation of biochemical aspects of stress biology and groups that study the pathophysiological aspects of stress pathways or engaged in drug discovery.
Download or read book Resurgence Physics and Numbers written by Frédéric Fauvet and published by Springer. This book was released on 2017-11-17 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years – a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event: Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues.
Download or read book Transformation Groups written by Tammo tom Dieck and published by Walter de Gruyter. This book was released on 2011-04-20 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: “This book is a jewel – it explains important, useful and deep topics in Algebraic Topology that you won’t find elsewhere, carefully and in detail.” Prof. Günter M. Ziegler, TU Berlin
Download or read book Tetracyclines in Biology Chemistry and Medicine written by M. Nelson and published by Springer Science & Business Media. This book was released on 2001-10-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tetracyclines have an illustrious history as therapeutic agents which dates back over half a century. Initially discovered as an antibiotic in 1947, the four ringed molecule has captured the fancy of chemists and biologists over the ensuing decades. Of further interest, as described in the chapter by George Armelagos, tetracyclines were already part of earlier cultures, 1500-1700 years ago, as revealed in traces of drug found in Sudanese Nubian mummies. The diversity of chapters which this book presents to the reader should illus trate the many disciplines which have examined and seen benefits from these fascinating natural molecules. From antibacterial to anti-inflammatory to anti autoimmunity to gene regulation, tetracyclines have been modified and redesigned for various novel properties. Some have called this molecule a biol ogist's dream because of its versatility, but others have seen it as a chemist's nightmare because of the synthetic chemistry challenges and "chameleon-like" properties (see the chapter by S. Schneider).
Download or read book Partition Functions and Automorphic Forms written by Valery A. Gritsenko and published by Springer Nature. This book was released on 2020-07-09 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3,...,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry.
Download or read book Lectures on Hilbert Schemes of Points on Surfaces written by Hiraku Nakajima and published by American Mathematical Soc.. This book was released on 1999 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theory - even theoretical physics. This book reflects this feature of Hilbert schemes.
Download or read book The Peroxidase Multigene Family of Enzymes written by Petro E. Petrides and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: In September 1998 experts from 19 countries came together for an interdisciplinary discussion of the function of animal peroxidases, a family of enzymes embracing myeloperoxidase, eosinophil peroxidase, thyroid peroxidase and lactoperoxidase. Their papers have been updated for publication, yielding a wide-ranging overview of the state of the art. The chapters cover a wide range of topics, including three-dimensional structure of representative family members, their biosynthesis and intracellular transport, mechanism of action as well as applications to clinical medicine. They are of clinical relevance in, for example, arteriosclerosis, multiple sclerosis, infections, tumorigenesis, rheumatic diseases and hypothyroidism. This book forms an excellent introduction for anyone interested in the peroxidase family of enzymes.
Download or read book Pediatric Rheumatology written by Sujata Sawhney and published by Springer. This book was released on 2016-11-26 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on rheumatology in children is intended to be a handy tool for all professionals interested in this field. It is divided into five sections: General considerations, arthritic problems, connective tissue diseases, systemic vasculitides and finally a section that covers miscellaneous issues such as Immunodeficiencies, bone heath and uveitis. The book has an easy format with each chapter having one or more clinicalvignettes at the start of the chapter. In addition each chapter outlines the learning objectives and key take home messages. At the end of each section a collection of cases to highlight important issues in the clinic are included. The colorful charts, pictures and tables make reading this book an easy task. The authors are leading experts in their fields working at best practices centers globally to provide the reader with state-of-the-art information.
Download or read book Double Affine Hecke Algebras written by Ivan Cherednik and published by Cambridge University Press. This book was released on 2005-03-21 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an essentially self-contained monograph centered on the new double Hecke algebra technique.
