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Vacuum structure in 3d supersymmetric gauge theories

Abstract : This minireview (written on the basis of the talk that the author delivered at the Pomeranchuk memorial conference in ITEP in June 2013 and his original papers written before on this subject) is devoted to the problem of vacuum dynamics in 3d supersymmetric Yang-Mills-Chern-Simons theories with and without extra matter multiplets. By analyzing the effective Born-Oppenheimer Hamiltonian in a small spatial box, we calculate the number of vacuum states (the Witten index) for these theories and analyze their structure. The results coincide with those derived by other methods.
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http://hal.in2p3.fr/in2p3-00962298
Contributor : Sylvie Flores <>
Submitted on : Friday, March 21, 2014 - 9:07:51 AM
Last modification on : Thursday, February 7, 2019 - 3:20:02 PM

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A.V. Smilga. Vacuum structure in 3d supersymmetric gauge theories. Physics-Uspekhi, Turpion, 2014, 57, pp.155. ⟨10.3367/UFNe.0184.201402e.0163⟩. ⟨in2p3-00962298⟩

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