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Linear models of supersymmetric D-branes. (English) Zbl 1022.81045

Fukaya, K. (ed.) et al., Symplectic geometry and mirror symmetry. Proceedings of the 4th KIAS annual international conference, Seoul, South Korea, August 14-18, 2000. Singapore: World Scientific. 111-186 (2001).
Summary: We construct a class of supersymmetric boundary interactions in \({\mathcal N}= 2\) field theories on the half-space, which depend on parameters that are not at all renormalized or not renormalized in perturbation theory beyond one-loop. This can be used to study D-branes wrapped on a certain class of Lagrangian submanifolds as well as holomorphic cycles. The construction of holomorphic D-branes is in close relationship with the background independent open string field theory approach to brane/anti-brane systems. As an application, mirror pairs of Lagrangian and holomorphic D-branes are identified. The mirror pairs are studied by twisting to open topological field theories.
For the entire collection see [Zbl 0980.00036].

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T45 Topological field theories in quantum mechanics
81T60 Supersymmetric field theories in quantum mechanics
83E30 String and superstring theories in gravitational theory
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