c = 1 string theory as a topological G/G model
Feb, 1993
19 pages
Published in:
- Phys.Lett.B 305 (1993) 35-42
e-Print:
- hep-th/9302027 [hep-th]
Report number:
- TAUP-2032-93
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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.Note:
- 19p
- string model
- central charge: <=1
- phase space: Fock space
- field theory: topological
- bosonization
- operator product expansion
- cohomology: Becchi-Rouet-Stora
- coset space: SL(2,R)/SL(2,R)
- coset space: SL(2,R)/U(1)
References(21)
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