Conical spaces, modular invariance and c.sub.p,1./sub. holography

0552586 - FZÚ 2022 RIV US eng J - Článek v odborném periodiku
Raeymaekers, Joris
Conical spaces, modular invariance and c_p,1 holography.
Journal of High Energy Physics. Roč. 2021, č. 3 (2021), č. článku 189. ISSN 1029-8479. E-ISSN 1029-8479
Grant CEP: GA ČR(CZ) GX20-25775X
Institucionální podpora: RVO:68378271
Klíčová slova: AdS-CFT correspondence * Models of Quantum Gravity * invariance: modular
Obor OECD: Particles and field physics
Impakt faktor: 6.376, rok: 2021
Způsob publikování: Open access

We propose a non-unitary example of holography for the family of two-dimensional logarithmic conformal field theories with negative central charge c = cp,1_{p,1}p,1​ = −6p + 13 − 6p−1^{−1}−1. We argue that at large p, these models have a semiclassical gravity-like description which contains, besides the global AdS3_{3}3​ spacetime, a tower of solitonic solutions describing conical excess angles. Evidence comes from the fact that the central charge and the natural modular invariant partition function of such a theory coincide with those of the cp,1_{p,1}p,1​ model. These theories have an extended chiral W-algebra whose currents have large spin of order |c|, and which in the bulk are realized as spinning conical solutions. As a by-product we also find a direct link between geometric actions for exceptional Virasoro coadjoint orbits, which describe fluctuations around the conical spaces, and Felder’s free field construction of degenerate representations.

Trvalý link: http://hdl.handle.net/11104/0327688