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Bonus symmetries of \(N=4\) super-Yang-Mills correlation functions via AdS duality.(English)Zbl 0947.81121

Summary: General conjectures about the SL\((2,\mathbb{Z})\) modular transformation properties of \(N=4\) super-Yang-Mills correlation functions are presented. It is shown how these modular transformation properties arise from the conjectured duality with IIB string theory on \(\text{AdS}_5\times S^5\). We discuss in detail a prediction of the AdS duality: that \(N=4\) field theory, in an appropriate limit, must exhibit bonus symmetries, corresponding to the enhanced symmetries of IIB string theory in its supergravity limit.

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E30 String and superstring theories in gravitational theory
83E50 Supergravity

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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