c=1 String Theory as a Topological G/G Model

Abstract

The physical states on the free field Fock space of the ${SL(2,R)\over SL(2,R)$ model at any level are computed. Using a similarity transformation on $Q_{BRST}$, the cohomology of the latter is mapped into a direct sum of simpler cohomologies. We show a one to one correspondence between the states of the $k=-1$ model and those of the $c=1$ string model. A full equivalence between the ${SL(2,R)\over SL(2,R)$ and ${SL(2,R)\over U(1)$ models at the level of their Fock space cohomologies is found.

19p

References in corpus (2)

• Algebraic Structures and Differential Geometry in 2D String Theory
• G/G Models and W_N strings

Cited by in corpus (11)

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• c < 1 String from Two Dimensional Black Holes
• Topological Strings with Scaling Violation and Toda Lattice Hierarchy
• Structure constants for the osp(1|2) current algebra
• Topological current algebras in two dimensions
• $(1,q=-1)$ Model as a Topological Description of $2d$ String Theory
• Superconformal current algebras and topological field theories
• $c_M<1$ String Theory as a Constrained Topological Sigma Model