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The Isometries of Low-Energy Heterotic M-Theory

E. J. Copeland·J. Ellison·A. Lukas·J. Roberts
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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 Kahler moduli-space metric. The group is found to be a non-semisimple maximal parabolic subgroup of Sp(4,R), containing a non-trivial SL(2,R) factor. The underlying moduli-space is then naturally realised 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.

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E. J. Copeland, J. Ellison, A. Lukas, J. Roberts. 2005-10-03. The Isometries of Low-Energy Heterotic M-Theory. https://doi.org/10.1103/physrevd.72.086008

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