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 (24)
- Holographic representation of local bulk operators
- Three-Dimensional Gravity Revisited
- 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
- Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
- The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
- Measurement of the charm fragmentation function in D* photoproduction at HERA
- 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 Thermal Corrections to Single Interval Entanglement Entropy for Conformal Field Theories
- Constraints on extremal self-dual CFTs
- Single Interval Rényi Entropy At Low Temperature
- Left-Right Entanglement Entropy of Boundary States
- AdS_3 Partition Functions Reconstructed
- On Genus Two Riemann Surfaces Formed from Sewn Tori
- Conformal perturbation theory and higher spin entanglement entropy on the torus
- Rényi Entropy of Free Compact Boson on Torus
- Higher genus partition functions of meromorphic conformal field theories
- 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
- Rényi Entropy for a CFT with a gauge field: WZW theory on a branched torus