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Dualities of 3D = 1 SQCD from Branes and non-SUSY deformations

Adi Armoni Orcid Logo, Ricardo Stuardo

Journal of High Energy Physics, Volume: 2023, Issue: 6

Swansea University Authors: Adi Armoni Orcid Logo, Ricardo Stuardo

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Abstract

We study the dynamics of an ‘electric’ = 1 3D U(Nc)k,k+Nc2 SQCD theory. By embedding the theory in string theory, we propose that the theory admits a ‘magnetic’ dual and analyse the low energy dynamics of the theory using its dual. When Nf2≥Nc2−k the IR dynamics is described by either a TQFT for lar...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC
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URI: https://cronfa.swan.ac.uk/Record/cronfa63700
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Abstract: We study the dynamics of an ‘electric’ = 1 3D U(Nc)k,k+Nc2 SQCD theory. By embedding the theory in string theory, we propose that the theory admits a ‘magnetic’ dual and analyse the low energy dynamics of the theory using its dual. When Nf2≥Nc2−k the IR dynamics is described by either a TQFT for large quark masses, or a Grassmannian and a Wess-Zumino (WZ) term for small masses. We also consider non-supersymmetric mass deformations and RG flows in the vicinity of the SUSY point and find agreement between the IR of the electric and its magnetic dual. When Nf2<Nc2−k supersymmetry is broken and the IR dynamics is a described by a TQFT accompanied by a Goldstino. We also discuss SQCD theories based on SO/USp gauge groups.
Keywords: Brane Dynamics in Gauge Theories, Chern-Simons Theories, Duality in Gauge Field Theories, Supersymmetry and Duality
College: Faculty of Science and Engineering
Funders: We are thankful to Amit Giveon, Zohar Komargodski, David Kutasov, Vasilis Niarchos and Adar Sharon for valuable comments. The work of R.S. is supported by STFC grant ST/W507878/1.
Issue: 6