论文信息 - Quantization of the Drinfeld-Sokolov reduction

Quantization of the Drinfeld-Sokolov reduction

Abstract We show that the quantum Drinfeld-Sokolov reduction of the affine Kac-Moody algebra sl( n ) Λ gives the W n -algebra of Fateev-Zamolodchikov-Lukyanov. We derive this W n -algebra explicitly as a BRST cohomology algebra, using the homological technique of spectral sequences.

Boris Feigin | Edward Frenkel | B. Feigin | E. Frenkel

[1] B. Feigin. COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The semi-infinite homology of Kac-Moody and Virasoro Lie algebras , 1984 .

[2] S. Sternberg,et al. Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras , 1987 .

[3] V. Fateev,et al. Conformal quantum field theory models in two dimensions having Z3 symmetry , 1987 .

[4] V. Kac. Infinite dimensional Lie algebras: Frontmatter , 1990 .

[5] Shlomo Sternberg,et al. Hamiltonian group actions and dynamical systems of calogero type , 1978 .

[6] H. Ooguri,et al. HeiddenSL(n) symmetry in conformal field theories , 1989 .

[7] G. Felder. BRST approach to minimal models , 1989 .

[8] Takahiro Hayashi,et al. Sugawara operators and Kac-Kazhdan conjecture , 1988 .

[9] B. Kostant. On Whittaker vectors and representation theory , 1978 .

[10] E. Corrigan. REPRESENTATIONS OF THE VIRASORO ALGEBRA , 1985 .

[11] B. Feigin,et al. A family of representations of affine Lie algebras , 1988 .

[12] V. Dotsenko,et al. Conformal Algebra and Multipoint Correlation Functions in 2d Statistical Models - Nucl. Phys. B240, 312 (1984) , 1984 .

[13] D. Bernard,et al. Fock representations and BRST cohomology inSL(2) current algebra , 1990 .