Mathematical foundations of quantum field theory and perturbative string theory
 Language
 English.
 Imprint
 Providence, R.I. : American Mathematical Society, c2011.
 Physical description
 vii, 354 p. : ill. ; 26 cm.
 Series
 Proceedings of symposia in pure mathematics ; v. 83.
Access
Available online

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QA1 .A626 V.83

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QA1 .A626 V.83
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Contributors
 Contributor
 Sati, Hisham, 1973
 Schreiber, Urs, 1974
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Introduction by H. Sati and U. Schreiber Foundations for quantum field theory: Models for $(\infty, n)$categories and the cobordism hypothesis by J. E. Bergner From operads to dendroidal sets by I. Weiss Field theories with defects and the centre functor by A. Davydov, L. Kong, and I. Runkel Quantization of field theories: Homotopical Poisson reduction of gauge theories by F. Paugam Orientifold precis by J. Distler, D. S. Freed, and G. W. Moore Twodimensional quantum field theories: Surface operators in 3d topological field theory and 2d rational conformal field theory by A. Kapustin and N. Saulina Conformal field theory and a new geometry by L. Kong Collapsing conformal field theories, spaces with nonnegative Ricci curvature and noncommutative geometry by Y. Soibelman Supersymmetric field theories and generalized cohomology by S. Stolz and P. Teichner Topological modular forms and conformal nets by C. L. Douglas and A. G. Henriques.
 (source: Nielsen Book Data)
 Publisher's Summary
 Conceptual progress in fundamental theoretical physics is linked with the search for the suitable mathematical structures that model the physical systems. Quantum field theory (QFT) has proven to be a rich source of ideas for mathematics for a long time. However, fundamental questions such as "What is a QFT?" did not have satisfactory mathematical answers, especially on spaces with arbitrary topology, fundamental for the formulation of perturbative string theory. This book contains a collection of papers highlighting the mathematical foundations of QFT and its relevance to perturbative string theory as well as the deep techniques that have been emerging in the last few years. The papers are organised under three main chapters: Foundations for Quantum Field Theory, Quantisation of Field Theories, and TwoDimensional Quantum Field Theories. An introduction, written by the editors, provides an overview of the main underlying themes that bind together the papers in the volume.
(source: Nielsen Book Data)
Subjects
 Subject
 Quantum field theory > Mathematics > Congresses.
 Topological fields > Congresses.
 String models > Mathematics > Congresses.
 Quantum theory  Quantum field theory; related classical field theories  Topological field theories.
 Quantum theory  Quantum field theory; related classical field theories  Twodimensional field theories, conformal field theories, etc..
 Quantum theory  Quantum field theory; related classical field theories  String and superstring theories; other extended objects (e.g., branes).
 Quantum theory  Quantum field theory; related classical field theories  Axiomatic quantum field theory; operator algebras.
 Quantum theory  Quantum field theory; related classical field theories  Supersymmetric field theories.
 Mechanics of particles and systems  Classical field theories  Lagrangian formalism and Hamiltonian formalism.
 Category theory; homological algebra  Categories with structure  Double categories, $2$categories, bicategories and generalizations.
 Category theory; homological algebra  Categories with structure  Operads.
 Algebraic topology  Homology and cohomology theories  Elliptic cohomology.
Bibliographic information
 Publication date
 2011
 Responsibility
 Hisham Sati, Urs Schreiber, editors.
 Series
 Proceedings of symposia in pure mathematics ; v. 83
 ISBN
 0821851950 (alk. paper)
 9780821851951 (alk. paper)