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Phys. Rev. D 72, 086008 (2005) [9 pages]

Isometries of low-energy heterotic M theory

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Edmund J. Copeland *
School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom

James Ellison † and Jonathan Roberts ‡
Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QJ, United Kingdom

André Lukas §
Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP, United Kingdom

Received 11 September 2005; published 13 October 2005

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

URL: http://link.aps.org/doi/10.1103/PhysRevD.72.086008
DOI: 10.1103/PhysRevD.72.086008
PACS: 11.25.Mj, 11.25.Yb

* Electronic address: ed.copeland@nottingham.ac.uk
† Electronic address: j.b.ellison@sussex.ac.uk
‡ Electronic address: lukas@physics.ox.ac.uk
§ Electronic address: j.roberts@sussex.ac.uk

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