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arXiv · 2109.02545

The Giant Graviton Expansion

Davide Gaiotto·Ji Hoon Lee
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Abstract

We propose and test a novel conjectural relation satisfied by the superconformal index of maximally supersymmetric $U(N)$ gauge theory in four dimensions. Analogous relations appear to be also valid for the superconformal indices of a large collection of other gauge theories, as well as for a broad class of index-like generating functions. The relation expresses the finite $N$ index as a systematic series of corrections to a large $N$ answer. Individual corrections have an holographic interpretation as the analytic continuation of contributions from "giant graviton" branes fixed by a specific symmetry generator.

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Davide Gaiotto, Ji Hoon Lee. 2021-09-06. The Giant Graviton Expansion. https://arxiv.org/abs/2109.02545

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