On the non-commutative geometry of topological D-branes Export

@misc{citeulike:463962, abstract = {This is a noncommutative-geometric study of the semiclassical dynamics of finite topological D-brane systems. Starting from the formulation in terms of A -infinity categories, I show that such systems can be described by the noncommutative symplectic supergeometry of Z2-graded quivers, and give a synthetic formulation of the boundary part of the generalized WDVV equations. In particular, a faithful generating function for integrated correlators on the disk can be constructed as a linear combination of quiver necklaces, i.e. a function on the noncommutative symplectic superspace defined by the quiver's path algebra. This point of view allows one to construct extended moduli spaces of topological D-brane systems as non-commutative algebraic `superschemes'. They arise by imposing further relations on a Z2-graded version of the quiver's preprojective algebra, and passing to the subalgebra preserved by a natural group of symmetries.}, archivePrefix = {arXiv}, author = {Lazaroiu, C. I.}, citeulike-article-id = {463962}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0507222}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0507222}, day = {1}, eprint = {hep-th/0507222}, keywords = {branes, moduli, necklaces, noncommutative, stringtheory}, month = {Nov}, posted-at = {2006-01-13 06:35:48}, priority = {0}, title = {On the non-commutative geometry of topological D-branes}, url = {http://arxiv.org/abs/hep-th/0507222}, year = {2005} }

TY - ELEC ID - citeulike:463962 L3 - citeulike-article-id:463962 N2 - This is a noncommutative-geometric study of the semiclassical dynamics of finite topological D-brane systems. Starting from the formulation in terms of A -infinity categories, I show that such systems can be described by the noncommutative symplectic supergeometry of Z2-graded quivers, and give a synthetic formulation of the boundary part of the generalized WDVV equations. In particular, a faithful generating function for integrated correlators on the disk can be constructed as a linear combination of quiver necklaces, i.e. a function on the noncommutative symplectic superspace defined by the quiver's path algebra. This point of view allows one to construct extended moduli spaces of topological D-brane systems as non-commutative algebraic `superschemes'. They arise by imposing further relations on a Z2-graded version of the quiver's preprojective algebra, and passing to the subalgebra preserved by a natural group of symmetries. TI - On the non-commutative geometry of topological D-branes KW - branes KW - moduli KW - necklaces KW - noncommutative KW - stringtheory AU - Lazaroiu, CI PY - 2005/Nov/01/ UR - http://arxiv.org/abs/hep-th/0507222 ER -