Quantization via Mirror Symmetry

Details Quantization via Mirror Symmetry Quantization via Mirror Symmetry

2010-11-09

arxiv.org/abs/1011.2218v2

Physics

High Energy Physics

High Energy Physics - Theory

44 pp

Scientific paper

When combined with mirror symmetry, the A-model approach to quantization leads to a fairly simple and tractable problem. The most interesting part of the problem then becomes finding the mirror of the coisotropic brane. We illustrate how it can be addressed in a number of interesting examples related to representation theory and gauge theory, in which mirror geometry is naturally associated with the Langlands dual group. Hyperholomorphic sheaves and (B,B,B) branes play an important role in the B-model approach to quantization.

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