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arXiv · hep-th/0109151

Inverse dualisation and non-local dualities between Einstein gravity and supergravities

Chiang-Mei Chen·Dmitri V. Gal'tsov·Sergei A. Sharakin
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Abstract

We investigate non-local dualities between suitably compactified higher-dimensional Einstein gravity and supergravities which can be revealed if one reinterprets the dualised Kaluza-Klein two-forms in $D>4$ as antisymmetric forms belonging to supergravities. We find several examples of such a correspondence including one between the six-dimensional Einstein gravity and the four-dimensional Einstein-Maxwell-dilaton-axion theory (truncated N=4 supergravity), and others between the compactified eleven and ten-dimensional supergravities and the eight or ten-dimensional pure gravity. The Killing spinor equation of the D=11 supergravity is shown to be equivalent to the geometric Killing spinor equation in the dual gravity. We give several examples of using new dualities for solution generation and demonstrate how $p$-branes can be interpreted as non-local duals of pure gravity solutions. New supersymmetric solutions are presented including $M2\subset 5$-brane with two rotation parameters.

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Chiang-Mei Chen, Dmitri V. Gal'tsov, Sergei A. Sharakin. 2001-09-19. Inverse dualisation and non-local dualities between Einstein gravity and supergravities. https://doi.org/10.1088/0264-9381%2F19%2F2%2F310

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