Abstract
We compute instanton corrections to the partition function of sine-Liouville (SL) theory, which provides a worldsheet description of two-dimensional string theory in a non-trivial tachyon background. We derive these corrections using a matrix model formulation based on a chiral representation of matrix quantum mechanics and using string theory methods. In both cases we restrict to the leading and subleading orders in the string coupling expansion. Then the CFT technique is used to compute two orders of the expansion in the SL perturbation parameter λ, while the matrix model gives results which are non-perturbative in λ. The matrix model results perfectly match those of string theory in the small λ expansion. We also generalize our findings to the case of perturbation by several tachyon vertex operators carrying different momenta, and obtain interesting analytic predictions for the disk two-point and annulus one-point functions with ZZ boundary condition.
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Acknowledgments
We are grateful to Ivan Kostov and Spenta Wadia for discussions and to Victor Rodriguez for sharing with us his code for computing numerically string amplitudes. A.S. is supported by ICTS-Infosys Madhava Chair Professorship and the J. C. Bose fellowship of the Department of Science and Technology, India.
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Alexandrov, S., Mahajan, R. & Sen, A. Instantons in sine-Liouville theory. J. High Energ. Phys. 2024, 141 (2024). https://doi.org/10.1007/JHEP01(2024)141
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DOI: https://doi.org/10.1007/JHEP01(2024)141