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Complex Liouville String
Scott Collier1, Lorenz Eberhardt2, Beatrix Mühlmann3
1Massachusetts Institute of Technology, Center for Theoretical Physics, Cambridge, Massachusetts 02139, USA.
None:
We introduce the complex Liouville string, a solvable string theory defined by coupling two Liouville theories with complex conjugate central charges c∈13+iR on the world sheet. We compute its amplitudes from first principles and establish a duality with a double-scaled two-matrix integral. We also analyze general world sheet boundaries and nonperturbative effects in the genus expansion. By expressing the complex Liouville string as a 2D dilaton gravity theory with a sine potential, we show that it admits both AdS_{2} and dS_{2} vacua.
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