Minimal gauge invariant couplings at order ${\alpha }^{\prime 3}$: NS-NS fields

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 ${\alpha }^{\prime 3}$, 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.

28 pages, Latex file, no figure. arXiv admin note: text overlap with arXiv:1905.10800

References in corpus (3)

• Double Field Theory
• Four-derivative couplings via T-duality constraint
• Modular Forms and $SL(2,\mathbb{Z})$-covariance of type IIB superstring theory

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