Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-04-29
Nucl.Phys.B399:527-559,1993
Physics
High Energy Physics
High Energy Physics - Theory
42 pages
Scientific paper
10.1016/0550-3213(93)90508-M
An analysis of the BRST cohomology of the G/G topological models is performed for the case of $A_1^{(1)}$. Invoking a special free field parametrization of the various currents, the cohomology on the corresponding Fock space is extracted. We employ the singular vector structure and fusion rules to translate the latter into the cohomology on the space of irreducible representations. Using the physical states we calculate the characters and partition function, and verify the index interpretation. We twist the energy-momentum tensor to establish an intriguing correspondence between the ${SL(2)\over SL(2)}$ model with level $k={p\over q}-2$ and $(p,q)$ models coupled to gravity.
Aharony Ofer
Ganor Ori
Sonnenschein Sochen N. J.
Yankielowicz Shimon
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