We study BPS domain walls in four-dimensional N = 1 massive SQCD with gauge group SU (N) and F < N flavors. We propose a class of three-dimensional Chern-Simons-matter theories to describe the effective dynamics on the walls. Our proposal passes several checks, including the exact matching between its vacua and the solutions to the four-dimensional BPS domain wall equations, that we solve in the small mass regime. As the flavor mass is varied, domain walls undergo a second-order phase transition, where multiple vacua coalesce into a single one. For special values of the parameters, the phase transition exhibits supersymmetry enhancement. Our proposal includes and extends previous results in the literature, providing a complete picture of BPS domain walls for F < N massive SQCD. A similar picture holds also for SQCD with gauge group Sp (N) and F < N + 1 flavors.

Living on the walls of super-QCD / Bashmakov, Vladimir; Benini, Francesco; Benvenuti, Sergio; Bertolini, Matteo. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 6:4(2019), pp. 1-37. [10.21468/SciPostPhys.6.4.044]

Living on the walls of super-QCD

Bashmakov, Vladimir;Benini, Francesco
;
Benvenuti, Sergio;Bertolini, Matteo
2019-01-01

Abstract

We study BPS domain walls in four-dimensional N = 1 massive SQCD with gauge group SU (N) and F < N flavors. We propose a class of three-dimensional Chern-Simons-matter theories to describe the effective dynamics on the walls. Our proposal passes several checks, including the exact matching between its vacua and the solutions to the four-dimensional BPS domain wall equations, that we solve in the small mass regime. As the flavor mass is varied, domain walls undergo a second-order phase transition, where multiple vacua coalesce into a single one. For special values of the parameters, the phase transition exhibits supersymmetry enhancement. Our proposal includes and extends previous results in the literature, providing a complete picture of BPS domain walls for F < N massive SQCD. A similar picture holds also for SQCD with gauge group Sp (N) and F < N + 1 flavors.
2019
6
4
1
37
044
10.21468/SciPostPhys.6.4.044
https://www.scipost.org/SciPostPhys.6.4.044
Bashmakov, Vladimir; Benini, Francesco; Benvenuti, Sergio; Bertolini, Matteo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/95574
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