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arXiv · hep-th/9302060

On the spectra of $\hat{sl}(N)_k/\hat{sl}(N)_k$-cosets and $W_N$ gravities

Vladimir Sadov
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Abstract

We study the spectra of G/G coset models by computing BRST cohomology of affine Lie algebras with coefficients in tensor product of two modules. One-to-one correspondence between the spectra of $A_1^1/A_1^1$ and that of the minimal matter coupled to gravity (including boundary states of the Kac table) is observed. This phenomena is discussed from the point of hamiltonian reduction of BRST complexes of $A_N^1$ Lie algebras. (In the revised version one proof is modified and examplified, some misprints are corrected.)

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Vladimir Sadov. 1993-03-01. On the spectra of $\hat{sl}(N)_k/\hat{sl}(N)_k$-cosets and $W_N$ gravities. https://doi.org/10.1142/s0217751x93002034

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