Abstract
Removing the field redefinitions, the Bianchi identities and the total derivative freedoms from the general form of gauge invariant NS–NS couplings at order alpha '^3, we have found that the minimum number of independent couplings is 872. We find that there are schemes in which there is no term with structures R,,R_{mu nu },,nabla _mu H^{mu alpha beta }, nabla _mu nabla ^mu Phi . In these schemes, there are sub-schemes in which, except one term, the couplings can have no term with more than two derivatives. In the sub-scheme that we have chosen, the 872 couplings appear in 55 different structures. We fix some of the parameters in type II supersting theory by its corresponding four-point functions. The coupling which has term with more than two derivatives is constraint to be zero by the four-point functions.
Highlights
This allows one to separate the ambiguous parameters to essential parameters which are fixed by e.g., S-matrix calculations [7,13], and some remaining arbitrary parameters
Depending on which set of parameters are chosen as essential parameters and how to choose the arbitrary parameters, one has different schemes
Some combinations of the ambiguous parameters, remain invariant. This allows one to separate the ambiguous parameters to essential parameters which may be found by S-matrix calculations, and some arbitrary parameters
Summary
When the field variables in S0 are changed, up to some total derivative terms, the following couplings at order α 3 are produced: δ S0 +c86 Hαβ δ H αβγ Hγ ε Hδ ε Hμθι H μζ η Rζ θηι couplings which have terms with more than two derivatives are allowed to be zero. +c754 Hα δ H αβγ R ημζ ∇μ Hβγ ε∇η Hδεζ +c783 Hα δ H αβγ Rδζ η∇μ Hβγ ε∇η Hεμζ
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