Chiang-Mei Chen et al 2002 Class. Quantum Grav. 19 347 doi:10.1088/0264-9381/19/2/310
Chiang-Mei Chen1, Dmitri V Gal'tsov2,3 and Sergei A Sharakin2,3
Show affiliationsWe investigate non-local dualities between suitably compactified higher dimensional Einstein gravity and supergravities which can be revealed if one reinterprets the dualized Kaluza–Klein 2-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 ⊂ 5-brane with two rotation parameters.
11.25.Mj Compactification and four-dimensional models
04.50.-h Higher-dimensional gravity and other theories of gravity
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
Issue 2 (21 January 2002)
Received 21 September 2001
Published 2 January 2002
Chiang-Mei Chen et al 2002 Class. Quantum Grav. 19 347
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