Comments on T-dualities of Ramond-Ramond potentials

Citation
M. Fukuma et al., Comments on T-dualities of Ramond-Ramond potentials, PROG T PHYS, 103(2), 2000, pp. 425-446
Citations number
24
Categorie Soggetti
Physics
Journal title
PROGRESS OF THEORETICAL PHYSICS
ISSN journal
0033068X → ACNP
Volume
103
Issue
2
Year of publication
2000
Pages
425 - 446
Database
ISI
SICI code
0033-068X(200002)103:2<425:COTORP>2.0.ZU;2-L
Abstract
The type IIA/IIB effective actions compactified on T-d are known to be inva riant under the T-duality group SO(d, d; Z), although the invariance of the R-R sector cannot be seen so directly. Inspired by a work of Brace, Morari u and Zumino, we introduce new potentials, which are mixtures of R-R potent ials and the NS-NS a-form, in order to make the invariant structure of R-R sector more transparent. We give a simple proof that if these new potential s 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 su ch a way that it can apply to Kaluza Klein forms of arbitrary degree. We al so demonstrate that these new fields simplify all the expressions, includin g the Chern-Simons term.