Supersymmetric boundary conditions in 3D \(\mathcal N=2\) theories. (English) Zbl 1325.81146
Donagi, Ron (ed.) et al., String-Math 2013. Selected papers based on the presentations at the conference, Stony Brook, NY, USA, June 17–21, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1051-3/hbk; 978-1-4704-1999-8/ebook). Proceedings of Symposia in Pure Mathematics 88, 343-349 (2014).
Summary: We explore 1/2 BPS boundary conditions in three-dimensional \({\mathcal N}=2\) supersymmetric field theories. In general the supersymmetric boundary conditions are classified as \((1,1)\) supersymmetry (A-type) and \((2,0)\) supersymmetry (B-type).
In the Landau-Ginzburg model A-type and B-type boundary conditions give rise to Lagrangian submanifold (A-brane) and holomorphic submanifolds (B-brane) of the target space respectively. We also find the boundary conditions for the Abelian gauge theories and discuss the Abelian duality and mirror symmetry.
For the entire collection see [Zbl 1304.14003].
In the Landau-Ginzburg model A-type and B-type boundary conditions give rise to Lagrangian submanifold (A-brane) and holomorphic submanifolds (B-brane) of the target space respectively. We also find the boundary conditions for the Abelian gauge theories and discuss the Abelian duality and mirror symmetry.
For the entire collection see [Zbl 1304.14003].
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 14D21 | Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81T60 | Supersymmetric field theories in quantum mechanics |
