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

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

1993-02-08

arxiv.org/abs/hep-th/9302027v1

Phys.Lett.B305:35-42,1993

Physics

High Energy Physics

High Energy Physics - Theory

19p

Scientific paper

10.1016/0370-2693(93)91102-S

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.

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