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SL(2,Z) duality of Born-Infeld theory from self-dual electrodynamics in 6 dimensions

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arxiv hep-th/9706208 v2 pith:TABNSBCH submitted 1997-06-27 hep-th

SL(2,Z) duality of Born-Infeld theory from self-dual electrodynamics in 6 dimensions

classification hep-th
keywords actionself-dualborn-infelddimensionsdualityelectrodynamicstheorytorus
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We reformulate the Born-Infeld action, coupled to an axion and a dilaton in a duality manifest way. This action is the generalization of the Schwarz-Sen action for non-linear electrodynamics. We show that this action may be obtained by dimensional reduction on a torus of a self-dual theory in 6 dimensions. The dilaton-axion being identified with the complex structure of the torus. Applications to M-theory and the self-dual IIB three brane are investigated.

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