A note on ensemble holography for rational tori

0552285 - FZÚ 2022 RIV US eng J - Journal Article
Raeymaekers, Joris
A note on ensemble holography for rational tori.
Journal of High Energy Physics. Roč. 2021, č. 12 (2021), č. článku 177. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR(CZ) GX20-25775X
Institutional support: RVO:68378271
Keywords : AdS-CFT correspondence * Conformal Field Theory * models of quantum gravity
OECD category: Particles and field physics
Impact factor: 6.376, year: 2021
Method of publishing: Open access

We study simple examples of ensemble-averaged holography in free compact boson CFTs with rational values of the radius squared. These well-known rational CFTs have an extended chiral algebra generated by three currents. We consider the modular average of the vacuum character in these theories, which results in a weighted average over all modular invariants. In the simplest case, when the chiral algebra is primitive (in a sense we explain), the weights in this ensemble average are all equal. In the non-primitive case the ensemble weights are governed by a semigroup structure on the space of modular invariants.These observations can be viewed as evidence for a holographic duality between the ensemble of CFTs and an exotic gravity theory based on a compact U(1) × U(1) Chern-Simons action. In the bulk description, the extended chiral algebra arises from soliton sectors, and including these in the path integral on thermal AdS3_{3}3​ leads to the vacuum character of the chiral algebra.
Permanent Link: http://hdl.handle.net/11104/0327412