Complex Liouville String
Scott Collier, Lorenz Eberhardt, Beatrix Mühlmann, Victor A. Rodriguez
Abstract
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.
Topics & Concepts
PhysicsGenusString theoryDilatonComplex conjugateMathematical physicsString (physics)Duality (order theory)CombinatoricsMathematicsMathematical analysisBotanyBiologyBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle InteractionsPhysics of Superconductivity and Magnetism