The $H$-flux on flag manifolds generated by infinitesimal $T$-duality

Author:

Elizabeth Gasparim, Lino Grama, Carlos Varea

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG)

journal:

date:

2023-08-22 16:00:00

Abstract

We define a new correspondence for pairs $(\mathbb{F},H)$ formed by a flag manifold $\mathbb{F}$ together with an $H$-flux on $\mathbb{F}$. Given its role within our correspondence, infinitesimal $T$-duality may be viewed as a source of $H$-flux, in the sense that it contributes towards taking fluxless pairs $(\mathbb{F},0)$ to pairs $(\mathbb{F}^\vee, H^\vee)$ carrying nontrivial flux $H^\vee\neq 0$. We also illustrate how our correspondence exchanges complex structures with symplectic ones up to $B$-transformations.

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