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arXiv · 1705.04879

On non-homogeneous tachyon condensation in closed string theory

Gaston Giribet·Laura Rado
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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 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.

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Gaston Giribet, Laura Rado. 2017-05-13. On non-homogeneous tachyon condensation in closed string theory. https://doi.org/10.1007/jhep08(2017)015

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