Symmetries of massive fields in Kaluza-Klein supergravity

Abstract

The infinite-parameter symmetry algebra of the massive tower of fields in five-dimensional $N=2$ Kaluza-Klein supergravity compactified on ${M}^{4}\ifmmode\times\else\texttimes\fi{}{S}^{1}$ is identified as a local version of the Kac-Moody extension of the super-Poincar\'e algebra with central charge mixed with the Virasoro algebra. Most of the symmetry is spontaneously broken. The Goldstone ($s=1,0$) bosons and ($s=\frac{1}{2}$) fermions are identified, and the implication for the mass spectrum of the massive tower of fields is discussed.