عنوان

An introduction to two-dimensional quantum field theory with (0,2) supersymmetry /

(Number (ISBN

3030050831

(Number (ISBN

303005084X

(Number (ISBN

3030050858

(Number (ISBN

9783030050832

(Number (ISBN

9783030050849

(Number (ISBN

9783030050856

Erroneous ISBN

9783030050832

Title Proper

An introduction to two-dimensional quantum field theory with (0,2) supersymmetry /

General Material Designation

[Book]

First Statement of Responsibility

Ilarion V. Melnikov.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (xv, 482 pages) :

Other Physical Details

illustrations

Series Title

Lecture notes in physics,

Volume Designation

volume 951

ISSN of Series

0075-8450 ;

Text of Note

Includes bibliographical references.

Text of Note

Preface -- (0,2) Fundamentals.-Conformalities -- Landau-Ginzburg theories -- Heterotic Non-linear Sigma Models -- Gauged Linear Sigma Models.

0

Text of Note

This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030050856

International Standard Book Number

9783030050832

International Standard Book Number

9783030050849

Quantum field theory.

Supersymmetry.

Quantum field theory.

Supersymmetry.

PHS

PHS

SCI057000

Number

Edition

Class number

Melnikov, Ilarion V.,1976-

Date of Transaction

20200823081218.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y