The $W$ algebra structure of $N=2$ $CP_{n}$ coset models

Details The $W$ algebra structure of $N=2$ $CP_{n}$ coset models The $W$ algebra structure of $N=2$ $CP_{n}$ coset models

1992-10-28

arxiv.org/abs/hep-th/9210143v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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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