Abstract
AbstractWe study a limit of the superconformal index of the ABJM theory onS1×S2in which the size of the circle is much smaller than the radius of the two-sphere. We derive closed form expressions for the two leading terms in this Cardy-like limit which are valid to all orders in the 1/Nexpansion. These results are facilitated by a judicious rewriting of the superconformal index which establishes a connection with the Bethe Ansatz Equations that control the topologically twisted index. Using the same technique we extend these results to the superconformal index of another holographic theory: 3d$$ \mathcal{N} $$N= 4 SYM coupled to one adjoint andNffundamental hypermultiplets. We discuss the implications of our results for holography and the physics of charged rotating black holes in AdS4.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
7 articles.
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