Monstrous entanglement
arXiv:1708.04242 · doi:10.1007/JHEP10(2017)147
Abstract
The Monster CFT plays an important role in moonshine and is also conjectured to be the holographic dual to pure gravity in AdS3. We investigate the entanglement and Renyi entropies of this theory along with other extremal CFTs. The Renyi entropies of a single interval on the torus are evaluated using the short interval expansion. Each order in the expansion contains closed form expressions of the modular parameter. The leading terms in the q-series are shown to precisely agree with the universal corrections to Renyi entropies at low temperatures. Furthermore, these results are shown to match with bulk computations of Renyi entropy using the one-loop partition function on handlebodies. We also explore some features of Renyi entropies of two intervals on the plane.
41 pages, 4 figures; v2: typos corrected, approximates published version
References in corpus (58)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement entropy and conformal field theory
- Quantum corrections to holographic entanglement entropy
- Entanglement Renyi entropies in holographic theories
- Quantum Gravity Partition Functions in Three Dimensions
- Holographic representation of local bulk operators
- Chiral Gravity in Three Dimensions
- Three-Dimensional Gravity Revisited
- Entanglement entropy of two disjoint intervals in conformal field theory
- Entanglement entropy of two disjoint intervals in conformal field theory II
- Entanglement Entropy at Large Central Charge
- Notes on the K3 Surface and the Mathieu group M_24
- Correlation functions for M^N/S_N orbifolds
- Meromorphic c=24 Conformal Field Theories
- Chiral Gravity, Log Gravity and Extremal CFT
- A Black Hole Farey Tail
- Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
- Holographic entanglement beyond classical gravity
- The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
- Measurement of the charm fragmentation function in D* photoproduction at HERA
- Nonlinear Gravity from Entanglement in Conformal Field Theories
- Exact holographic mapping and emergent space-time geometry
- Holographic entanglement entropy and gravitational anomalies
- A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance
- Bulk Emergence and the RG Flow of Entanglement Entropy
- Universal features of left-right entanglement entropy
- Universal Thermal Corrections to Single Interval Entanglement Entropy for Conformal Field Theories
- Entanglement Entropy of a Massive Fermion on a Torus
- Entropic Counterpart of Perturbative Einstein Equation
- Constraints on extremal self-dual CFTs
- BKM Lie superalgebras from dyon spectra in Z_N-CHL orbifolds for composite N
- Single Interval Rényi Entropy At Low Temperature
- Renyi entropies of free bosons on the torus and holography
- Left-Right Entanglement Entropy of Boundary States
- Genus Two Partition Functions and Renyi Entropies of Large c CFTs
- AdS_3 Partition Functions Reconstructed
- On Genus Two Riemann Surfaces Formed from Sewn Tori
- Supersymmetric Renyi Entropy in and
- Smoothed Transitions in Higher Spin AdS Gravity
- Short interval expansion of Rényi entropy on torus
- Holographic Calculation for Large Interval Rényi Entropy at High Temperature
- Conformal perturbation theory and higher spin entanglement entropy on the torus
- Anomalies of the Entanglement Entropy in Chiral Theories
- Holographic Rényi Entropy of Single Interval on Torus: with W symmetry
- Small Black Holes and Near-Extremal CFTs
- Rényi Entropy of Free Compact Boson on Torus
- Monstrous branes
- Exact Path Integral for 3D Quantum Gravity
- Entanglement, Replicas, and Thetas
- Higher genus partition functions of meromorphic conformal field theories
- Relating leptogenesis parameters to light neutrino masses
- Left-Right Entanglement Entropy, D-Branes, and Level-rank duality
- Three-dimensional AdS gravity and extremal CFTs at c=8m
- Bootstrapping Pure Quantum Gravity in AdS3
- Elementary introduction to Moonshine
- Exact Path Integral for 3D Higher Spin Gravity
- Rényi Entropy for a CFT with a gauge field: WZW theory on a branched torus
- Rényi Entropy for the $\sun1$ WZW model on the torus