Overview
- Nominated as an outstanding Ph.D thesis by the Humboldt University, Berlin, Germany
- Presents the discovery of a master symmetry for strings in general symmetric spaces
- Enhances our understanding of infinite dimensional symmetries occurring in the AdS/CFT correspondence
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (8 chapters)
Keywords
About this book
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.
Authors and Affiliations
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Bibliographic Information
Book Title: Symmetries of Maldacena-Wilson Loops from Integrable String Theory
Authors: Hagen Münkler
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-030-03605-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-03604-1Published: 05 December 2018
eBook ISBN: 978-3-030-03605-8Published: 24 November 2018
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XV, 210
Number of Illustrations: 20 b/w illustrations, 8 illustrations in colour
Topics: Quantum Field Theories, String Theory, Mathematical Applications in the Physical Sciences