Exotic gravity theory in topologically non-trivial spacetimes

Abstract

An exotic linearised theory of superconformal gravity in $D=6,(4,0)$ superspace has been proposed by C.M. Hull. In this note we discuss the bosonic sector of this model in topologically non-trivial spaces. Roughly speaking, Hull's model can be thought of as a square of the $H=dB$ theory, although not all Hull fields can be so presented. We also briefly discuss the form sector of $D=11$ supergravity.

arXiv comment7 pages, 4 diagrams