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arXiv · 2507.08620

Coisotropic branes in symplectic manifolds

Charlotte Kirchhoff-Lukat·Marco Zambon
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Abstract

A brane in a symplectic manifold is a coisotropic submanifold $Y$ endowed with a compatible closed 2-form $F$, which together induce a transverse complex structure. For a specific class of branes we give an explicit description of branes nearby a given one, and for arbitrary branes we describe the infinitesimal deformations and provide an associated cochain complex. As an application, we determine to what extent coisotropic submanifolds near a given brane admit brane structures.

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Charlotte Kirchhoff-Lukat, Marco Zambon. 2025-07-11. Coisotropic branes in symplectic manifolds. https://arxiv.org/abs/2507.08620

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