Exotic gravity theory in loop space

Abstract

An exotic linearised theory of superconformal gravity in D = 6, (4,0) superspace, proposed by C. Hull, is discussed in loop space with focus on its bosonic sector. Pursuing an analogy to the loop space version of the system of a two form B and its field strength H, we show that the exotic linearised gravitational potential C and curvature G can be reinterpreted as an ultra-local (linearised) metric and curvature on loop space.