Modified pure spinors and mirror symmetry

Details Modified pure spinors and mirror symmetry Modified pure spinors and mirror symmetry

2004-12-08

arxiv.org/abs/hep-th/0412086v1

Nucl.Phys. B732 (2006) 366-378

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX

Scientific paper

10.1016/j.nuclphysb.2005.10.029

It has been argued recently that mirror symmetry exchanges two pure spinors characterizing a generic manifold with SU(3)-structure. We show how pure spinors are modified in the presence of topological D-branes, so that they are still exchanged by mirror symmetry. This exchange emerges from the fact that the modified pure spinors come out as moment maps for the symmetries of A and B-models. The modification by the gauge field is argued to ensure the inclusion into the mirror exchange of the A-model non-Lagrangian branes endowed with a non-flat connection. Treating the connection as a distribution on an ambient six-manifold, assumed to be T^3-fibered, the proposed mirror formula is established by fiberwise T-duality.

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