Vacuum structure in 3D supersymmetric gauge theories

A.V. Smilga^a, b
^aLaboratoire de Physique Subatomique et des technologies associees (SUBATECH), Universite de Nantes, 4 rue Alfred Kastler, Nantes, 44307, France
^bRussian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation

In this paper, based on a talk given at the Pomeranchuk memorial conference in ITEP in June 2013, we review the 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 (Witten index) and examine their structure for these theories. The results are identical with those obtained by other methods.

PACS: 11.15.Yc, 11.30.Pb, 12.60.Jv (all)
DOI: 10.3367/UFNe.0184.201402e.0163
URL: https://ufn.ru/en/articles/2014/2/e/
Web of Science

000336162000005
Scopus

2-s2.0-84897930860
ADS NASA

2014PhyU...57..155S
Citation: Smilga A V "Vacuum structure in 3D supersymmetric gauge theories" Phys. Usp. 57 155–166 (2014)

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Received: 23rd, November 2013, accepted: 5th, June 2013

Оригинал: Смилга А В «Структура вакуума в трёхмерных суперсимметричных калибровочных теориях» УФН 184 163–176 (2014); DOI: 10.3367/UFNr.0184.201402e.0163

I.Ya. Pomeranchuk is author of Physics-Uspekhi