T-duality constraint on R-R couplings

Abstract

It has been speculated that the metric, $B$-field and dilaton couplings in the low energy effective action of string theory at any order of ${\alpha }^{\prime }$ may be found by imposing the gauge symmetries and the T-duality on the effective action. This proposal can be extended to include the Ramond-Ramond (R-R) couplings as well. In this paper, we first find the dimensional reduction of the R-R fields and then perform explicitly the T-duality constraint on the R-R couplings at the supergravity level. Up to an overall factor, it reproduces the democratic form of the R-R couplings.

arXiv comment10 pages, Latex file, no figure; some clarifications are added

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Cited by in corpus (4)

• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• On NS-NS couplings at order ${\alpha }^{\prime 3}$
• $O(9,9)$ symmetry of NS-NS couplings at order ${\alpha }^{\prime 3}$
• T-duality building blocks for ${\alpha }^{\prime }$ string corrections