On 2d TQFTs whose values are holomorphic symplectic varieties

Details On 2d TQFTs whose values are holomorphic symplectic varieties On 2d TQFTs whose values are holomorphic symplectic varieties

2011-06-28

arxiv.org/abs/1106.5698v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, to appear in the proceedings of String-Math 2011 conference; v2: small corrections

Scientific paper

For simple and simply-connected complex algebraic group G, we conjecture the existence of a functor eta_G from the category of 2-bordisms to the category of holomorphic symplectic varieties with Hamiltonian action, such that gluing of boundaries corresponds to the holomorphic symplectic quotient with respect to the diagonal action of G. We describe various properties of eta_G obtained via string-theoretic analysis. Mathematicians are urged to construct eta_G rigorously.

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