Expanding on the Cardy-like limit of the superconformal index of 4d $\mathcal{N}=1$ ABCD SCFTs

Abstract

We study the Cardy-like limit of the superconformal index of generic $\mathcal{N}=1$ SCFTs with ABCD gauge algebra, providing strong evidence for a universal formula that captures the behavior of the index at finite order in the rank and in the fugacities associated to angular momenta. The formula extends previous results valid at lowest order, and generalizes them to generic SCFTs. We corroborate the validity of our proposal by studying several examples, beyond the well-understood toric class. We compute the index also for models without a weakly-coupled gravity dual, whose gravitational anomaly is not of order one.

arXiv comment40 pages, 3 figures; v2: typos fixed, citations added; v3: further typos fixed, version published in JHEP

References in corpus (58)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• An Index for 4 dimensional Super Conformal Theories
• Counting chiral primaries in N=1 d=4 superconformal field theories
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
• General supersymmetric AdS5 black holes
• Supersymmetric AdS5 black holes
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS${}_5$ black holes
• Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric SP(N_c) Gauge Theories
• Brane Tilings
• N=1 Deformations and RG Flows of N=2 SCFTs
• Chiral Rings, Singularity Theory and Electric-Magnetic Duality
• An extremization principle for the entropy of rotating BPS black holes in AdS${}_5$
• Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index
• Black holes in 4d $\mathcal{N}=4$ Super-Yang-Mills
• Central Charges and $U(1{)}_R$ Symmetries in $\mathcal{N}=1$ Super Yang-Mills
• Geometric Transitions and N=1 Quiver Theories
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• The asymptotic growth of states of the 4d N=1 superconformal index
• Lagrangians for generalized Argyres-Douglas theories
• Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula
• The BPS limit of rotating AdS black hole thermodynamics
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• A 4d N=1 Cardy Formula
• Cardy-like asymptotics of the 4d $\mathcal{N}=4$ index and AdS${}_5$ blackholes
• Gluing gravitational blocks for AdS black holes
• N=1 Lagrangians for generalized Argyres-Douglas theories
• Supersymmetric phases of 4d N=4 SYM at large N
• Asymptotic growth of the 4d $\mathcal{N}=4$ index and partially deconfined phases
• AdS black holes and finite N indices
• Sub-leading Structures in Superconformal Indices: Subdominant Saddles and Logarithmic Contributions
• Superconformal indices at large $N$ and the entropy of AdS${}_5$ $\times$ SE${}_5$ black holes
• Large AdS black holes from QFT
• The Cardy limit of the topologically twisted index and black strings in AdS${}_5$
• A Bethe Ansatz type formula for the superconformal index
• Residues, modularity, and the Cardy limit of the 4d $\mathcal{N}=4$ superconformal index
• The large-$N$ limit of the 4d $\mathcal{N}=1$ superconformal index
• Universality in Chern-Simons theory
• Black hole entropy function for toric theories via Bethe Ansatz
• Elliptic Models, Type IIB Orientifolds and the Ads/CFT Correspondence
• The topologically twisted index of $\mathcal{N}=4$ super-Yang-Mills on $T^2\times S^2$ and the elliptic genus
• Nonperturbative universal Chern-Simons theory
• AdS${}_5$ Black Hole Entropy near the BPS Limit
• Gravitational Cardy Limit and AdS Black Hole Entropy
• Quivers from Matrix Factorizations
• Superconformal index of low-rank gauge theories via the Bethe Ansatz
• New 3d $\mathcal{N}=2$ SCFT's with $N^{3/2}$ scaling
• Universal AdS black holes in theories with sixteen supercharges and their microstates
• Probing the EVH limit of supersymmetric AdS black holes
• Universality of Toda equation in $\mathcal{N}=2$ superconformal field theories
• Geometric engineering on flops of length two
• The Coulomb and Higgs Branches of $\mathcal{N}=1$ Theories of Class ${\mathcal{S}}_k$
• Holography, Matrix Factorizations and K-stability
• Toward an Effective CFT${}_2$ from $\mathcal{N}=4$ Super Yang-Mills and Aspects of Hawking Radiation
• From multi-gravitons to Black holes: The role of complex saddles
• Chern-Simons theory with the exceptional gauge group as a refined topological string
• On a Gopakumar-Vafa form of partition function of Chern-Simons theory on classical and exceptional lines

Cited by in corpus (3)

• A gravity interpretation for the Bethe Ansatz expansion of the $\mathcal{N}=4$ SYM index
• $SL(3,\mathbb{Z})$ Modularity and New Cardy Limits of the $\mathcal{N}=4$ Superconformal Index
• The large-$N$ limit of 4d superconformal indices for general BPS charges