N=2\ $W$-supergravity

Details N=2\ $W$-supergravity N=2\ $W$-supergravity

1991-12-12

arxiv.org/abs/hep-th/9112028v1

Int.J.Mod.Phys. A8 (1993) 237-276

Physics

High Energy Physics

High Energy Physics - Theory

44 pages

Scientific paper

10.1016/0370-2693(92)90713-E

We quantise the classical gauge theory of $N=2\ w_\infty$-supergravity and show how the underlying $N=2$ super-$w_\infty$ algebra gets deformed into an $N=2$ super-$W_\infty$ algebra. Both algebras contain the $N=2$ super-Virasoro algebra as a subalgebra. We discuss how one can extract from these results information about quantum $N=2\ W_N$-supergravity theories containing a finite number of higher-spin symmetries with superspin $s\le N$. As an example we discuss the case of quantum $N=2\ W_3$-supergravity.

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