Entropy function from toric geometry

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.

arXiv comment34 pages, typos corrected in section 2, a reference added

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Cited by in corpus (17)

• The BPS limit of rotating AdS black hole thermodynamics
• Gluing gravitational blocks for AdS black holes
• Microscopic Entropy of Rotating Electrically Charged AdS${}_4$ Black Holes from Field Theory Localization
• Asymptotic growth of the 4d $\mathcal{N}=4$ index and partially deconfined phases
• A gravity interpretation for the Bethe Ansatz expansion of the $\mathcal{N}=4$ SYM index
• AdS black holes and finite N indices
• Words to describe a black hole
• Delayed Deconfinement and the Hawking-Page Transition
• Exact Stringy Microstates from Gauge Theories
• $SL(3,\mathbb{Z})$ Modularity and New Cardy Limits of the $\mathcal{N}=4$ Superconformal Index
• Superconformal index of low-rank gauge theories via the Bethe Ansatz
• Large $N$ Superconformal Indices for 3d Holographic SCFTs
• Logarithmic Corrections to the Entropy of Rotating Black Holes and Black Strings in AdS${}_5$
• From multi-gravitons to Black holes: The role of complex saddles
• The large-$N$ limit of 4d superconformal indices for general BPS charges
• Root of unity asymptotics for Schur indices of 4d Lagrangian theories
• The Giant Graviton Expansion