N=2\ $W$-supergravity

Abstract

We quantise the classical gauge theory of $N=2w_{\infty }$-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 $N=2W_N$-supergravity theories containing a finite number of higher-spin symmetries with superspin $s\le N$. As an example we discuss the case of quantum $N=2W_3$-supergravity.

44 pages

References in corpus (1)

• Bosonisation of the Complex-boson realisation of $W_{\infty }$