R^{4} terms in supergravities via T duality constraint
Abstract
It has been speculated in the literature that the effective actions of string theories at any order of α^{'} should be invariant under the Buscher rules plus their higher covariantderivative corrections. This may be used as a constraint to find effective actions at any order of α^{'}, in particular, the metric, the B field, and the dilaton couplings in supergravities at order α^{'3} up to an overall factor. For the simple case of zero B field and diagonal metric in which we have done the calculations explicitly, we have found that the constraint fixes almost all of the seven independent Riemann curvature couplings. There is only one term which is not fixed, because when metric is diagonal, the reduction of two R^{4} terms becomes identical. The Riemann curvature couplings that the T duality constraint produces for both type II and heterotic theories are fully consistent with the existing couplings in the literature which have been found by the Smatrix and by the sigmamodel approaches.
 Publication:

Physical Review D
 Pub Date:
 May 2018
 DOI:
 10.1103/PhysRevD.97.106013
 arXiv:
 arXiv:1801.06834
 Bibcode:
 2018PhRvD..97j6013R
 Keywords:

 High Energy Physics  Theory
 EPrint:
 20 pages, Latex file, no figure