Abstract
Recently, it has been shown that the minimum number of gauge invariant couplings for B-field, metric and dilaton at order α′3 is 872. These couplings, in a particular scheme, appear in 55 different structures. In this paper, up to an overall factor, we fix all parameters in type II supertirng theories by requiring the reduction of the couplings on a circle to be invariant under T-duality transformations. We find that there are 445 non-zero couplings which appear in 15 different structures. The couplings are fully consistent with the partial couplings that have been found in the literature by the four-point S-matrix element and by the non-linear Sigma model methods.
Highlights
To the massless fields fix all four- and six-derivative couplings in the bosonic string theory up to an overall factor
Inspired by the bosonic and heterotic string theories [14, 15], we speculate that the bosonic part of the classical effective action of type II superstring theories is invariant under the Z2 symmetry
We are going to find the couplings in the first part, i.e., the NS-NS couplings, by imposing the speculated Z2 symmetry as well as various gauge symmetries, and leave the construction of the couplings involving the R-R fields to the future works
Summary
The classical effective action of type II superstring theories has the following stringexpansion or α -expansion in the string frame:. Many of couplings are related to each other by Bianchi identities, total derivative terms and field redefinitions. It has been shown in [42] that the minimum number of independent gauge invariant couplings is 872. These couplings in one particular scheme which appear in 55 different structures, have been found in [42]. We show that imposition of the Z2-symmetry on the above couplings can fix all 872 parameters in the type II superstring theory in terms of an overall factor
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