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Symmetries of Maldacena-Wilson loops...

Munkler, Hagen.

Symmetries of Maldacena-Wilson loops from integrable string theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Symmetries of Maldacena-Wilson loops from integrable string theoryby Hagen Munkler.
Author:	Munkler, Hagen.
Published:	Cham :Springer International Publishing :2018.
Description:	xv, 210 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Loops (Group theory)
Online resource:	https://doi.org/10.1007/978-3-030-03605-8
ISBN:	9783030036058$q(electronic bk.)

Symmetries of Maldacena-Wilson loops from integrable string theory
Munkler, Hagen.

Symmetries of Maldacena-Wilson loops from integrable string theory[electronic resource] /by Hagen Munkler. - Cham :Springer International Publishing :2018. - xv, 210 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Introduction -- Symmetries, Fields and Loops -- Symmetric Space Models -- Minimal Surfaces in AdS -- Away from Strong Coupling -- Semisymmetric Space Models -- Minimal Surfaces in Superspace -- Conclusion and Outlook.

The book discusses hidden symmetries in the Anti-de Sitter/conformal field theory (AdS/CFT) duality. This duality is a modern concept that asserts an exact duality between conformally invariant quantum field theories and string theories in higher dimensional Anti-de Sitter spaces, and in this way provides a completely new tool for the study of strongly coupled quantum field theories. In this setting, the book focuses on the Wilson loop, an important observable in four-dimensional maximally supersymmetric gauge theory. The dual string description using minimal surfaces enables a systematic study of the hidden symmetries of the loop. The book presents major findings, including the discovery of a master symmetry for strings in general symmetric spaces, its relation to the Yangian symmetry algebra and its action on the minimal surfaces appearing in the dual string description of the Wilson loop. Moreover, it clarifies why certain symmetries are not present on the gauge theory side for purely bosonic Wilson loops and, lastly, how the supersymmetrization of the minimal surface problem for type IIB superstrings can be undertaken. As such, it substantially increases our understanding and use of infinite dimensional symmetries occurring in the AdS/CFT correspondence.

ISBN: 9783030036058$q(electronic bk.)

Standard No.: 10.1007/978-3-030-03605-8doiSubjects--Topical Terms:

661327
Loops (Group theory)

LC Class. No.: QA174.7.S96 / M865 2018

Dewey Class. No.: 516.1

Symmetries of Maldacena-Wilson loops from integrable string theory
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505 0 $a Introduction -- Symmetries, Fields and Loops -- Symmetric Space Models -- Minimal Surfaces in AdS -- Away from Strong Coupling -- Semisymmetric Space Models -- Minimal Surfaces in Superspace -- Conclusion and Outlook.
520 $a The book discusses hidden symmetries in the Anti-de Sitter/conformal field theory (AdS/CFT) duality. This duality is a modern concept that asserts an exact duality between conformally invariant quantum field theories and string theories in higher dimensional Anti-de Sitter spaces, and in this way provides a completely new tool for the study of strongly coupled quantum field theories. In this setting, the book focuses on the Wilson loop, an important observable in four-dimensional maximally supersymmetric gauge theory. The dual string description using minimal surfaces enables a systematic study of the hidden symmetries of the loop. The book presents major findings, including the discovery of a master symmetry for strings in general symmetric spaces, its relation to the Yangian symmetry algebra and its action on the minimal surfaces appearing in the dual string description of the Wilson loop. Moreover, it clarifies why certain symmetries are not present on the gauge theory side for purely bosonic Wilson loops and, lastly, how the supersymmetrization of the minimal surface problem for type IIB superstrings can be undertaken. As such, it substantially increases our understanding and use of infinite dimensional symmetries occurring in the AdS/CFT correspondence.
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