BRST cohomology of timelike Liouville theory

0540697 - FZÚ 2021 RIV US eng J - Článek v odborném periodiku
Bautista, T. - Erbin, H. - Kudrna, Matěj
BRST cohomology of timelike Liouville theory.
Journal of High Energy Physics. Roč. 2020, č. 5 (2020), s. 1-31, č. článku 029. ISSN 1029-8479. E-ISSN 1029-8479
Institucionální podpora: RVO:68378271
Klíčová slova: 2D gravity * BRST quantization * models of quantum gravity * conformal field theory
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 5.810, rok: 2020
Způsob publikování: Open access

We compute the Hermitian sector of the relative BRST cohomology of the spacelike and timelike Liouville theories with generic real central charge cL_{L}L​ in each case, coupled to a spacelike Coulomb gas and a generic transverse CFT. This paper is a companion of [1], and its main goal is to completely characterize the cohomology of the timelike theory with cL_{L}L​≤ 1 which was defined there. We also apply our formulas to revisit the BRST cohomology of the spacelike Liouville theory with cL_{L}L​> 1, which includes generalized minimal gravity. We prove a no-ghost theorem for the Hermitian sector in the timelike theory and for some spacelike models.

Trvalý link: http://hdl.handle.net/11104/0318316