Isometries of low-energy heterotic M theory
Physical Review D - Particles, Fields, Gravitation and Cosmology 72:8 (2005)
Authors:
EJ Copeland, J Ellison, J Roberts, A Lukas
Abstract:
We study the effective D=4, N=1 supergravity description of five-dimensional heterotic M theory in the presence of an M5 brane, and derive the Killing vectors and isometry group for the Kähler moduli-space metric. The group is found to be a non-semi-simple maximal parabolic subgroup of Sp(4,R), containing a nontrivial SL(2,R) factor. The underlying moduli space is then naturally realized as the group space Sp(4,R)/U(2), but equipped with a nonhomogeneous metric that is invariant only under that maximal parabolic group. This nonhomogeneous metric space can also be derived via field truncations and identifications performed on Sp(8,R)/U(4) with its standard homogeneous metric. In a companion paper we use these symmetries to derive new cosmological solutions from known ones. © 2005 The American Physical Society.
