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Conferences and Symposia. 100th anniversary of the birth of I.Ya. Pomeranchuk


Vacuum structure in 3D supersymmetric gauge theories

 a, b
a Laboratoire de Physique Subatomique et des technologies associees (SUBATECH), Universite de Nantes, 4 rue Alfred Kastler, Nantes, 44307, France
b Russian 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.

Fulltext pdf (644 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0184.201402e.0163
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/
000336162000005
2-s2.0-84897930860
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, 5th, June 2013

Îðèãèíàë: Ñìèëãà À Â «Ñòðóêòóðà âàêóóìà â òð¸õìåðíûõ ñóïåðñèììåòðè÷íûõ êàëèáðîâî÷íûõ òåîðèÿõ» ÓÔÍ 184 163–176 (2014); DOI: 10.3367/UFNr.0184.201402e.0163

I.Ya. Pomeranchuk is author of Physics-Uspekhi

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