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

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

1993-02-14

arxiv.org/abs/hep-th/9302060v2

Int. J. Mod. Phys. A8 (1993) 5115-5128

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1142/S0217751X93002034

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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