2011/02/09 by A. Gorsky
Mathematics · Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Conjecture #Cosmology and Gravitation Theories #Euclidean geometry #Geometry #Instanton #Mathematical physics #Mathematics #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum electrodynamics #Quantum mechanics #hep-th
paper · pdf · doi:10.1007/s11232-012-0059-9
20 pages
arxiv created 2011/02/09 · openalex publication_date 2012/05/01 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this note we discuss the gravimagnetization of the \cal N=2 SYM vacuum in the Ω-background. It is argued that the Seiberg-Witten prepotential is related to the vacuum density of the angular momentum in the Euclidean R4 space. The possible role of the dyonic instantons as the microscopic angular momentum carriers which could yield the spontaneous vacuum gravimagnetization is conjectured. We interpret the dyonic instanton as a kind of the Euclidean bounce in R4 similar to one responsible for the Schwinger pair creation. The induced angular momentum in R4 is also briefly considered in the dual Liouville formulation of SU(2) theory via AGT relation.