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Exact S-Matrix for 2D String Theory
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abstract
We formulate simple graphical rules which allow explicit calculation of nonperturbative $c=1$ $S$-matrices. This allows us to investigate the constraint of nonperturbative unitarity, which indeed rules out some theories. Nevertheless, we show that there is an infinite parameter family of nonperturbatively unitary $c=1$ $S$-matrices. We investigate the dependence of the $S$-matrix on one of these nonperturbative parameters. In particular, we study the analytic structure, background dependence, and high-energy behavior of some nonperturbative $c=1$ $S$-matrices. The scattering amplitudes display interesting resonant behavior both at high energies and in the complex energy plane.
Forward citations
Cited by 3 Pith papers
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Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory
N=2 Liouville structure constants are proposed via mirror symmetry to the SL(2)_k/U(1) supercoset, with angular-momentum-violating sectors given explicitly and tested semiclassically to leading loop order.
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Effective Field Theory of Noncritical M-theory from Bosonization
Coadjoint-orbit bosonization of the Hořava-Keeler noncritical M-theory Fermi liquid yields a continuous family of interacting 1+1d chiral bosons whose density correlators match the exact Fermi liquid semiclassically.
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Strings from Feynman Diagrams
Every Feynman diagram in a two-matrix model is mapped to a unique closed string worldsheet and Belyi embedding, with the diagram's weight equal to the string action.
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