On 2d TQFTs whose values are holomorphic symplectic varieties
High Energy Physics - Theory
2011-08-10 v2 Algebraic Geometry
Differential Geometry
Quantum Algebra
Abstract
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.
Cite
@article{arxiv.1106.5698,
title = {On 2d TQFTs whose values are holomorphic symplectic varieties},
author = {Gregory W. Moore and Yuji Tachikawa},
journal= {arXiv preprint arXiv:1106.5698},
year = {2011}
}
Comments
15 pages, to appear in the proceedings of String-Math 2011 conference; v2: small corrections