The W algebra structure of N=2 CP_n coset models

1992/10/28 by Katsushi Ito, Ito, Katsushi
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9210143

10 pages, Latex, NBI-HE-92-77

arxiv created 1992/10/28 · openalex publication_date 1992/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the N=2 super W algebras from the hamiltonian reduction of affine Lie superalgebras A(n|n-1)⁽¹⁾ and A(n|n)⁽¹⁾. From the quantum hamiltonian reduction of A(n|n-1)⁽¹⁾ we get the free field realization of N=2 CP_n super coset models. In the case of the affine Lie superalgebras A(n|n)⁽¹⁾, the corresponding conformal field theories do not have N=2 superconformal symmetry. However we show that these models are twisted N=2 CP_n models and may be regarded as topological conformal field theories. (Talk presented at the International Workshop on "String Theory, Quantum Gravity and the Unification of Fundamental Interactions" Rome, September 21--26, 1992)

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