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Spinor couplings to dilaton gravity induced by the dimensional reduction of topologically massive gravity

M Adak1 and T Dereli2

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A Dirac spinor is coupled to topologically massive gravity and the D = 3 dimensional action is reduced to D = 2 dimensions with a metric that includes both the electromagnetic potential 1-form A and a dilaton scalar phgr. The dimensionally reduced spinor is made a mass eigenstate with a (local) chiral rotation. The non-trivial interactions thus induced are discussed.


PACS

04.20.Gz Spacetime topology, causal structure, spinor structure

04.50.-h Higher-dimensional gravity and other theories of gravity

04.60.-m Quantum gravity

MSC

83C75 Space-time singularities, cosmic censorship, etc.

83C50 Electromagnetic fields

83E15 Kaluza-Klein and other higher-dimensional theories

83C80 Analogues in lower dimensions

83C60 Spinor and twistor methods; Newman-Penrose formalism

Subjects

Gravitation and cosmology

Dates

Issue 9 (7 May 2004)

Received 20 January 2004

Published 2 April 2004



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