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Schlagwörter:
High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
Zusammenfassung:
We compute the Hermitian sector of the relative BRST cohomology of the
spacelike and timelike Liouville theories with generic real central charge
$c_L$ in each case, coupled to a spacelike Coulomb gas and a generic transverse
CFT. This paper is a companion of arXiv:1905.12689, and its main goal is to
completely characterize the cohomology of the timelike theory with $c_L < 1$
which was there defined. We also apply our formulas to revisit the BRST
cohomology of the spacelike Liouville theory with $c_L > 1$, which includes
generalized minimal gravity. We prove a no-ghost theorem for the Hermitian
sector in the timelike theory and for some spacelike models.