# D-branes and K-theory in 2D topological field theory

@article{Moore2006DbranesAK, title={D-branes and K-theory in 2D topological field theory}, author={Gregory W. Moore and Graeme B. Segal}, journal={arXiv: High Energy Physics - Theory}, year={2006} }

This expository paper describes sewing conditions in two-dimensional open/closed topological field theory. We include a description of the G-equivariant case, where G is a finite group. We determine the category of boundary conditions in the case that the closed string algebra is semisimple. In this case we find that sewing constraints – the most primitive form of worldsheet locality – already imply that D-branes are (G-twisted) vector bundles on spacetime. We comment on extensions to cochain…

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## 136 Citations

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### Smooth functorial field theories from B-fields and D-branes

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### On B-type Open–Closed Landau–Ginzburg Theories Defined on Calabi–Yau Stein Manifolds

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We consider the bulk algebra and topological D-brane category arising from the differential model of the open–closed B-type topological Landau–Ginzburg theory defined by a pair (X,W), where X is a…

### Decomposition in Chern-Simons theories in three dimensions

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In this paper we discuss decomposition in the context of three-dimensional Chern-Simons theories. Specifically, we argue that a Chern-Simons theory with a gauged noneffectivelyacting one-form…

### Consistent Orientation of Moduli Spaces

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### Higher structures in topological quantum field theory

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This thesis is comprised of 7 papers where we investigate aspects of higher structures in the study of Topological Quantum Field Theory (TQFT) in the functorial formalism. In particular, we study…

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