Format:
Online-Ressource (XV, 210 Seiten)
,
Illustrationen, Diagramme
Edition:
Springer eBook Collection. Physics and Astronomy
ISBN:
9783030036058
Series Statement:
Springer Theses
Content:
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
Content:
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
Additional Edition:
ISBN 9783030036041
Additional Edition:
ISBN 9783030036065
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-3-030-03604-1
Language:
English
Keywords:
Supersymmetrische Yang-Mills-Theorie
;
AdS-CFT-Korrespondenz
;
Stringtheorie
;
Wilson-Loop
;
Symmetrie
DOI:
10.1007/978-3-030-03605-8
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