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

O. Aharony*, O. Ganor, J. Sonnenschein, S. Yankielowicz, N. Sochen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)527-559
Number of pages33
JournalNuclear Physics, Section B
Volume399
Issue number2-3
DOIs
StatePublished - 5 Jul 1993

Funding

FundersFunder number
US—Israel Binational Science Foundation
Israel Academy of Sciences and Humanities

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