Topological D-branes from Descent

Abstract

Witten couples the open topological B-model to a holomorphic vector bundle by adding to the boundary of the worldsheet a Wilson loop for an integrable connection on the bundle. Using the descent procedure for boundary vertex operators in this context, I generalize this construction to write a worldsheet coupling for a graded vector bundle with an integrable superconnection. I then compute the open string vertex operators between two such boundaries. A theorem of J. Block gives that this is equivalent to coupling the B-model to an arbitrary object in the derived category.

18+1 pages, uses utarticle.cls, v5: added discussion of boundary conditions

References in corpus (2)

• Phases Of N=2 Theories In 1+1 Dimensions With Boundary
• Three-dimensional topological field theory and symplectic algebraic geometry I

Cited by in corpus (2)

• Three-dimensional topological field theory and symplectic algebraic geometry I
• Surface operators in four-dimensional topological gauge theory and Langlands duality