Comments on T-dualities of Ramond-Ramond Potentials

Details Comments on T-dualities of Ramond-Ramond Potentials Comments on T-dualities of Ramond-Ramond Potentials

1999-07-15

arxiv.org/abs/hep-th/9907132v3

Prog.Theor.Phys.103:425-446,2000

Physics

High Energy Physics

High Energy Physics - Theory

26 pages; LaTeX; major version up; discussion on the Chern-Simons term added; references added

Scientific paper

10.1143/PTP.103.425

The type IIA/IIB effective actions compactified on T^d are known to be invariant under the T-duality group SO(d, d; Z) although the invariance of the R-R sector is not so direct to see. Inspired by a work of Brace, Morariu and Zumino,we introduce new potentials which are mixture of R-R potentials and the NS-NS 2-form in order to make the invariant structure of R-R sector more transparent. We give a simple proof that if these new potentials transform as a Majorana-Weyl spinor of SO(d, d; Z), the effective actions are indeed invariant under the T-duality group. The argument is made in such a way that it can apply to Kaluza-Klein forms of arbitrary degree. We also demonstrate that these new fields simplify all the expressions including the Chern-Simons term.

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