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Symmetries of Maldacena-Wilson Loops from Integrable String Theory (Hardcover, 1st ed. 2018)
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Symmetries of Maldacena-Wilson Loops from Integrable String Theory (Hardcover, 1st ed. 2018)
Series: Springer Theses
Expected to ship within 10 - 15 working days
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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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