Physical States in Topological Coset Models

J. Sonnenschein

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arXiv · hep-th/9210041

Physical States in Topological Coset Models

J. Sonnenschein

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Abstract

Recent results about topological coset models are summarized. The action of a topological ${G\over H}$ coset model ($rank\ H = rank\ G$) is written down as a sum of ``decoupled" matter, gauge and ghost sectors. The physical states are in the cohomology of a BRST-like operator that relates these secotrs. The cohomology on a free field Fock space as well as on an irreducible representation of the ``matter" Kac-Moody algebra are extracted. We compare the results with those of $(p,q)$ minimal models coupled to gravity and with $(p,q)$ $W_N$ strings for the case of $A_1^{(1)}$ at level $k={p\over q}-2$ and $A_1^{(N-1)}$ at level $k={p\over q}-N$ respectively.

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J. Sonnenschein. 1992-10-08. Physical States in Topological Coset Models. https://arxiv.org/abs/hep-th/9210041

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