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Published June 4, 2013 | Submitted + Published
Journal Article Open

Supersymmetric boundary conditions in three-dimensional N=2 theories

Abstract

We study supersymmetric boundary conditions in three-dimensional N=2 Landau-Ginzburg models and Abelian gauge theories. In the Landau-Ginzburg model the boundary conditions that preserve (1,1) supersymmetry (A-type) and (2,0) supersymmetry (B-type) on the boundary are classified in terms of subspaces of the target space ("brane"). An A-type brane is a Lagrangian submanifold on which the imaginary part of the superpotential is constant, while a B-type brane is a holomorphic submanifold on which the superpotential is constant. We also consider the N=2 Maxwell theory with boundary and the Abelian duality. Finally we make some comments on N=2 SQED with boundary condition and the mirror symmetry.

Additional Information

© 2013 American Physical Society. Received 8 March 2013; published 4 June 2013. We would like to thank Tohru Eguchi, Abhijit Gadde, Sergei Gukov, Kentaro Hori, Tetsuji Kimura, Yu Nakayama, Hirosi Ooguri, Pavel Putrov, Mauricio Romo, John H. Schwarz, Yuji Tachikawa, and Yutaka Yoshida for discussions and comments. The work of T. O. was supported in part by JSPS fellowships for Young Scientists. The work of S.Y. was supported in part by JSPS KAKENHI Grant No. 22740165.

Attached Files

Published - PhysRevD.87.125005.pdf

Submitted - 1302.6593v3.pdf

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