Dual dilaton with $\mathcal{R}$ and $\mathcal{Q}$ fluxes

Eugenia Boffo

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arXiv · 2112.06588

Dual dilaton with $\mathcal{R}$ and $\mathcal{Q}$ fluxes

Eugenia Boffo

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Abstract

In previous works we showed that a Courant algebroid in a particular frame and the differential geometry of the sum bundle $TM \oplus T^*M$ provide a very natural geometric setting for a sector of the low energy effective limit of type II superstring theories (Supergravity theory). Given our geometric and algebraic considerations, we reproduced the NS-NS sector of the closed bosonic effective type II sting action, and an action for the inverse metric $G^{-1}$ and the bivector $\Pi$, related to the tensors for closed strings as $(g+B)^{-1} = (G^{-1} +\Pi)$. The action depended on the stringy T-dual fluxes $\mathcal{R}$ and $\mathcal{Q}$, but the dual dilaton was missing. This short paper fills the gap.

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Eugenia Boffo. 2021-12-13. Dual dilaton with $\mathcal{R}$ and $\mathcal{Q}$ fluxes. https://arxiv.org/abs/2112.06588

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