Supersymmetric Renyi Entropy and Anomalies in Six-Dimensional (1,0) Superconformal Theories

Abstract

A closed formula of the universal part of supersymmetric Rényi entropy $S_q$ for six-dimensional $(1,0)$ superconformal theories is proposed. Within our arguments, $S_q$ across a spherical entangling surface is a cubic polynomial of $\nu =1/q$, with $4$ coefficients expressed as linear combinations of the 't Hooft anomaly coefficients for the $R$-symmetry and gravitational anomalies. As an application, we establish linear relations between the $c$-type Weyl anomalies and the 't Hooft anomaly coefficients. We make a conjecture relating the supersymmetric Rényi entropy to an equivariant integral of the anomaly polynomial in even dimensions and check it against known data in four dimensions and six dimensions.

1+27 pages, v2: references added+typos fixed. arXiv admin note: text overlap with arXiv:1512.03008

References in corpus (11)

• Towards a derivation of holographic entanglement entropy
• 6d Conformal Matter
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Anomaly polynomial of general 6d SCFTs
• Localization on Hopf surfaces
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• Supersymmetric Rényi Entropy in Five Dimensions
• Renyi entropy, stationarity, and entanglement of the conformal scalar
• Super-Rényi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals
• N = 4 Super-Yang-Mills on Conic Space as Hologram of STU Topological Black Hole
• The holographic supersymmetric Renyi entropy in five dimensions

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• Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
• Universal Features of BPS Strings in Six-dimensional SCFTs
• Replica wormholes and capacity of entanglement
• M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture
• Revisiting the classifications of 6d SCFTs and LSTs
• AdS${}_7$/CFT${}_6$ with orientifolds
• Central Charges of 2d Superconformal Defects
• Topological pseudo entropy
• Supersymmetric Rényi entropy and charged hyperbolic black holes
• $C_T$ for higher derivative conformal fields and anomalies of (1,0) superconformal 6d theories
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• Black hole microstates and supersymmetric localization
• $\mathcal{N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions
• Janus interface entropy and Calabi's diastasis in four-dimensional $\mathcal{N}=2$ superconformal field theories
• Anomaly Matching Across Dimensions and Supersymmetric Cardy Formulae
• One-Loop Holographic Weyl Anomaly in Six Dimensions
• Superconformal index of higher derivative $\mathcal{N}=1$ multiplets in four dimensions
• Holographic supersymmetric Renyi entropies from hyperbolic black holes with scalar hair
• The Weyl Anomaly from the 6D Superconformal Index
• Abelian M5-brane on $S_q^6$
• Supersymmetric zeta functions and determinants
• From Weyl Anomaly to Defect Supersymmetric Rényi Entropy and Casimir Energy
• Holography, Supergravity, and the Weak Gravity Conjecture