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arXiv · hep-th/9303073

N=2 Superconformal Affine Liouville Theory

E. Ivanov·F. Toppan
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Abstract

We present a new supersymmetric integrable model: the $N=2$ superconformal affine Liouville theory. It interpolates between the $N=2$ super Liouville and $N=2$ super sine-Gordon theories and possesses a Lax representation on the complex affine Kac-Moody superalgebra ${\hat {sl(2| 2)^{(1)}}}$. We show that the higher spin $W_{1+\infty}$-type symmetry algebra of ordinary conformal affine Liouville theory extends to a $N=2\; W_{1/2 + \infty}$-type superalgebra.

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E. Ivanov, F. Toppan. 1993-03-11. N=2 Superconformal Affine Liouville Theory. https://doi.org/10.1016/0370-2693(93)90936-c

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