2014/11/18 by Musema Sinamuli, Sinamuli, Musema · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1411.4918
openalex publication_date 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a supergeometry based on S2XS2 on which four dimensional N=2 gauge theories can be placed supersymmetrically while preserving all supersymmetries. By embedding the supergeometry in four dimensional N=2 supergravity we are able to construct an arbitrary N=2 gauge theory on S2XS2. We show that N=2 gauge theories are invariant under the exceptional superalgebra D(2,1,alpha), where alpha is the ratio of the radii of the two S2's. We solve the supersymmetry fixed points equations for a choice of supercharge in D(2,1,alpha). The solution of these BPS equations, which we find, would serve as the exact saddle point configurations of a localization computation of the partition function of N=2 gauge theories on S2XS2.