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We formulate a strategy for computing the complete set of non-perturbative corrections to closed string scattering in $c=1$ string theory from the worldsheet perspective.
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M. R. Douglas, I. R. Klebanov, D. Kutasov, J. M. Maldacena, E. J. Martinec, and N. Seiberg, A New hat for the c=1 matrix model
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B. Balthazar, V. A. Rodriguez, and X. Yin, The c=1 String Theory S-Matrix Revisited
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A. B. Zamolodchikov and A. B. Zamolodchikov, Liouville field theory on a pseudosphere
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V. Fateev, A. B. Zamolodchikov, and A. B. Zamolodchikov, Boundary Liouville field theory. 1. Boundary state and boundary two point function
Cited in the paper.