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TMF, 2012, Volume 171, Number 2, Pages 225–240 (Mi tmf8366)  

This article is cited in 2 scientific papers (total in 2 papers)

Angular momentum and gravimagnetization of the $\mathcal{N}{=}2$ supersymmetric vacuum

A. S. Gorsky

Institute for Theoretical and Experimental Physics, Moscow, Russia

Abstract: We consider the gravimagnetization of the $\mathcal N=2$ supersymmetric vacuum in the presence of the $\Omega$-deformation. We argue that the Seiberg–Witten prepotential is related to the vacuum density of the angular momentum in the Euclidean space $\mathbb R^4$. We conjecture the possible role of the dyonic instantons as the microscopic angular momentum carriers that could yield a spontaneous vacuum gravimagnetization. We interpret the dyonic instanton as an analogue of the Euclidean bounce in $\mathbb R^4$. Such a bounce is related to the Schwinger pair production. We also briefly discuss the induced angular momentum in $\mathbb R^4$ in the dual Liouville formulation of the $SU(2)$ theory in terms of the hypothesis of the Alday–Gaiotto–Tachikawa correspondence.

Keywords: supersymmetry, gauge theory, instanton

DOI: https://doi.org/10.4213/tmf8366

Full text: PDF file (421 kB)
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English version:
Theoretical and Mathematical Physics, 2012, 171:2, 616–628

Bibliographic databases:

Received: 17.05.2012

Citation: A. S. Gorsky, “Angular momentum and gravimagnetization of the $\mathcal{N}{=}2$ supersymmetric vacuum”, TMF, 171:2 (2012), 225–240; Theoret. and Math. Phys., 171:2 (2012), 616–628

Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8366
  • http://mi.mathnet.ru/eng/tmf/v171/i2/p225

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Gorsky A., Milekhin A., “Condensates and Instanton - Torus Knot Duality. Hidden Physics At UV Scale”, Nucl. Phys. B, 900 (2015), 366–399  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    2. Aristova A., Frenklakh D., Gorsky A., Kharzeev D., “Vortical susceptibility of finite-density QCD matter”, J. High Energy Phys., 2016, no. 10, 029  crossref  mathscinet  isi  elib  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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