Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-03-18
Class.Quant.Grav. 20 (2003) 2119-2130
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, no figures. v2 References added. To be published in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/20/11/312
The Jackiw-Teitelboim gravity with non-vanishing cosmological constant coupled to Liouville theory is considered as a non-critical string on d dimensional flat space-time. It is discussed how the presence of cosmological constant leads to consider additional constraints on the parameters of the theory, even though the conformal anomaly is independent of the cosmological constant. The constraints agree with the necessary conditions required to ensure that the tachyon field turns out to be a primary prelogarithmic operator within the context of the world-sheet conformal field theory. Thus, the linearized tachyon field equation allows to impose the diagonal condition for the interaction term. We analyze the neutralization of the Liouville mode induced by the coupling to the Jackiw-Teitelboim lagrangian. The standard free field prescription leads to obtain explicit expressions for three-point functions for the case of vanishing cosmological constant in terms of a product of Shapiro-Virasoro integrals; this fact is a consequence of the mentioned neutralization effect.
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