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Entropy function from toric geometry
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abstract
It has recently been claimed that a Cardy-like limit of the superconformal index of 4d $\mathcal{N}=4$ SYM accounts for the entropy function, whose Legendre transform corresponds to the entropy of the holographic dual AdS$_5$ rotating black hole. Here we study this Cardy-like limit for $\mathcal{N}=1$ toric quiver gauge theories, observing that the corresponding entropy function can be interpreted in terms of the toric data. Furthermore, for some families of models, we compute the Legendre transform of the entropy function, comparing with similar results recently discussed in the literature.
Forward citations
Cited by 3 Pith papers
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Microstates of AdS$_5$ black holes with hypermultiplets
A new family of rotating AdS5 black holes with nonzero hypermultiplet scalars has horizon entropy matching the superconformal index of the dual SCFTs, at first order in a perturbative expansion around z=1.
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Gravitational index, black hole saddle degeneracy, and one-form symmetry
The |G|-fold degeneracy of supersymmetric AdS5 black hole index saddles is fixed by the flux-quantized BF coupling of the bulk one-form symmetry and persists unmodified in the decompactified black-brane limit.
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Supersymmetric zeta functions and determinants
Residues and special values of supersymmetric zeta functions (built from single-particle indices) are conjectured to reproduce anomaly coefficients, Casimir energies, and central charges across 2d/4d/6d.
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