Geometry Seminar

A twistor perspective on BAA-branes via generalised geometry

Speaker:  Tim Henke (Porto)
Date:  Friday, 20 February 2026 - 11:30
Place:  Aula Naranja, ICMAT

Abstract:

Branes are extended objects from string theory that are the central object of the mathematical understanding of mirror symmetry. Branes of type BAA are based on D-modules over complex Lagrangians and have largely resisted satisfactory formalisation. Their mirror BBB-branes are hyperholomorphic sheaves and have recently been formalised by Franco–Hanson as a subcategory of derived sheaves over twistor space. I will discuss the generalised branes defined by Gualtieri based in generalised geometry, in which BAA branes  are much more similar to the hyperkähler BBB branes. This motivates a proposal for a twistor definition of the category of BAA branes.

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