On non-homogeneous tachyon condensation in closed string theory

Abstract

Lorentzian continuation of the Sine-Liouville model describes non-homogeneous rolling closed string tachyon. Via T-duality, this relates to the gauged $H_{+}^3$ Wess-Zumino-Witten model at subcritical level. This model is exactly solvable. We give a closed formula for the 3-point correlation functions for the model at level k within the range 0<k<2, which relates to the analogous quantity for k>2 in a similar way as how the Harlow-Maltz-Witten 3-point function of timelike Liouville field theory relates to the analytic continuation of the Dorn-Otto-Zamolodchikov-Zamolodchikov structure constants: We find that the ratio between both 3-point functions can be written in terms of the Jacobi's $\theta$-function, while their product exhibits remarkable cancellations and eventually factorizes. Our formula is consistent with previous proposals made in the literature.

26 pages. V2 discussion extended. Version to appear in JHEP

References in corpus (3)

• Liouville theory with a central charge less than one
• Non-Rational 2D Quantum Gravity II. Target Space CFT
• Stringy horizons and generalized FZZ duality in perturbation theory

Cited by in corpus (1)

• 2D quantum gravity partition function on the fluctuating sphere