TY - JOUR

T1 - Physical states in G/G models and two-dimensional gravity

AU - Aharony, O.

AU - Ganor, O.

AU - Sonnenschein, J.

AU - Yankielowicz, S.

AU - Sochen, N.

N1 - Funding Information:
1 Work supported in part by the US—Israel Binational Science Foundation and the Israel Academy of Sciences.

PY - 1993/7/5

Y1 - 1993/7/5

N2 - An analysis of the BRST cohomology of the G/G topological models is performed for the case of A1(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)/SL(2) model with level k = p/q -2 and (p, q) models coupled to gravity.

AB - An analysis of the BRST cohomology of the G/G topological models is performed for the case of A1(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)/SL(2) model with level k = p/q -2 and (p, q) models coupled to gravity.

UR - http://www.scopus.com/inward/record.url?scp=0000695999&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(93)90508-M

DO - 10.1016/0550-3213(93)90508-M

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AN - SCOPUS:0000695999

SN - 0550-3213

VL - 399

SP - 527

EP - 559

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2-3

ER -