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arXiv · 2202.05680

D-Branes in Para-Hermitian Geometries

Vincenzo Emilio Marotta·Richard J. Szabo
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Abstract

We introduce T-duality invariant versions of D-branes in doubled geometry using a global covariant framework based on para-Hermitian geometry and metric algebroids. We define D-branes as conformal boundary conditions for the open string version of the Born sigma-model, where they are given by maximally isotropic vector bundles which do not generally admit the standard geometric picture in terms of submanifolds. When reduced to the conventional sigma-model description of a physical string background as the leaf space of a foliated para-Hermitian manifold, integrable branes yield D-branes as leaves of foliations which are interpreted as Dirac structures on the physical spacetime. We define a notion of generalised para-complex D-brane, which realises our D-branes as para-complex versions of topological A/B-branes. We illustrate how our formalism recovers standard D-branes in the explicit example of reductions from doubled nilmanifolds.

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Vincenzo Emilio Marotta, Richard J. Szabo. 2022-02-11. D-Branes in Para-Hermitian Geometries. https://arxiv.org/abs/2202.05680

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