The large-\(N\) limit of the 4d \(\mathcal{N} = 1\) superconformal index

DOI10.1007/JHEP11(2020)150zbMath1456.81421arXiv2005.10654MaRDI QIDQ2658186

Sameer Murthy, Dario Martelli, Davide Cassani, Alejandro Cabo-Bizet

Publication date: 18 March 2021

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10654

zbMATH Keywords

conformal field theoryAdS-CFT correspondenceblack holes in string theorysupersymmetric gauge theory

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supersymmetric field theories in quantum mechanics (81T60) Geometrodynamics and the holographic principle (83E05)

Related Items (24)

Classification of large N superconformal gauge theories with a dense spectrum ⋮ Thermodynamics of near BPS black holes in \( \mathrm{AdS}_4\) and \( \mathrm{AdS}_7\) ⋮ Large \(N\) superconformal indices for 3d holographic SCFTs ⋮ On the 4d superconformal index near roots of unity: bulk and localized contributions ⋮ Words to describe a black hole ⋮ Modular factorization of superconformal indices ⋮ Probing supersymmetric black holes with surface defects ⋮ The SUSY index beyond the Cardy limit ⋮ Quantum phases of \(4d\) \(\mathrm{SU}(N)\) \(\mathcal{N} = 4\) SYM ⋮ Supersymmetric phases of \(\mathrm{AdS}_4/\mathrm{CFT}_3\) ⋮ Corrections to \(\mathrm{AdS}_5\) black hole thermodynamics from higher-derivative supergravity ⋮ Exact stringy microstates from gauge theories ⋮ The large-\(N\) limit of 4d superconformal indices for general BPS charges ⋮ Root of unity asymptotics for Schur indices of 4d Lagrangian theories ⋮ Microscopic entropy of \( \mathrm{AdS}_3\) black holes revisited ⋮ Expanding on the Cardy-like limit of the SCI of 4d \(\mathcal{N} = 1\) ABCD SCFTs ⋮ Sub-leading structures in superconformal indices: subdominant saddles and logarithmic contributions ⋮ Residues, modularity, and the Cardy limit of the 4d \(\mathcal{N} = 4\) superconformal index ⋮ The Bethe-ansatz approach to the \(\mathcal{N} = 4\) superconformal index at finite rank ⋮ The SCI of \(\mathcal{N} = 4\) \( \mathrm{USp} (2N_c )\) and \( \mathrm{SO} (N_c )\) SYM as a matrix integral ⋮ Superconformal index of low-rank gauge theories via the Bethe ansatz ⋮ The near-horizon geometry of supersymmetric rotating \( \mathrm{AdS}_4\) black holes in M-theory ⋮ \( SL (3, \mathbb{Z} )\) Modularity and new Cardy limits of the \(\mathcal{N} = 4\) superconformal index ⋮ Delayed deconfinement and the Hawking-Page transition

Cites Work

• Unnamed Item
• Unnamed Item
• Supersymmetric counterterms from new minimal supergravity
• Cardy formulae for SUSY theories in \(d = 4\) and \(d= 6\)
• The Cardy limit of the topologically twisted index and black strings in \(\mathrm{AdS}_{5}\)
• Non-extremal rotating black holes in five-dimensional gauged supergravity
• Black hole entropy function for toric theories via Bethe Ansatz
• \(\mathrm{AdS}_5\) black hole entropy near the BPS limit
• Counting chiral primaries in \(\mathcal N=1\), \(d=4\) superconformal field theories
• The Bloch-Wigner-Ramakrishnan polylogarithm function
• Applications of the superconformal index for protected operators and \(q\)-hypergeometric identities to \({\mathcal N}=1\) dual theories
• Non-perturbative formulas for central functions of supersymmetric gauge theories
• Superconformal field theory on threebranes at a Calabi-Yau singularity
• \(\text{AdS}_3\) black holes and a stringy exclusion principle
• Black hole microstates in \(\mathrm{AdS}_4\) from supersymmetric localization
• High-temperature asymptotics of supersymmetric partition functions
• A note on the entropy of rotating BPS \(\mathrm{AdS}_{7} \times S^4 \) black holes
• Holographic renormalization and supersymmetry
• Supercurrent anomalies in 4d SCFTs
• An extremization principle for the entropy of rotating BPS black holes in \(\mathrm{AdS}_{5}\)
• \( \mathcal{N} =1 \) supersymmetric indices and the four-dimensional A-model
• Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization
• Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions
• Supersymmetric phases of 4d \(\mathcal{N} = 4\) SYM at large \(N\)
• A Bethe ansatz type formula for the superconformal index
• Probing the EVH limit of supersymmetric AdS black holes
• Microstate counting via Bethe ansätze in the 4d \(\mathcal{N} = 1\) superconformal index
• Asymptotic growth of the 4d \(\mathcal{N} = 4\) index and partially deconfined phases
• Toward an effective \(\mathrm{CFT}_2\) from \(\mathcal{N}=4\) super Yang-Mills and aspects of Hawking radiation
• 't Hooft anomalies and the holomorphy of supersymmetric partition functions
• The asymptotic growth of states of the 4d \(\mathcal{N}=1\) superconformal index
• Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric \(\mathrm{AdS}_{5}\) black holes
• Cardy-like asymptotics of the 4d \( \mathcal{N}=4 \) index and $\mathrm{AdS}_5$ black holes
• The BPS limit of rotating AdS black hole thermodynamics
• An index for 4 dimensional super conformal theories
• Exact microstate counting for dyonic black holes in \(\mathrm{AdS}_{4}\)
• The topologically twisted index of \(\mathcal{N}=4\) super-Yang-Mills on \(T^2 \times S^2\) and the elliptic genus
• Triangle anomalies from Einstein manifolds
• On a formula of Bloch
• The Casimir energy in curved space and its supersymmetric counterpart
• A topologically twisted index for three-dimensional supersymmetric theories
• Supersymmetric Casimir energy and the anomaly polynomial
• Elliptic beta integrals and solvable models of statistical mechanics
• Instantons and Large N
• Higher Regulators, Algebraic 𝐾-Theory, and Zeta Functions of Elliptic Curves
• Supersymmetric partition functions on Riemann surfaces

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