Note on Gauge Theory on Fuzzy Supersphere
Satoshi Iso, Hiroshi Umetsu
TL;DR
This paper develops a supermatrix model that describes supersymmetric gauge theories on a fuzzy supersphere, allowing for tunable particle masses and interpolation between different theories.
Contribution
It introduces a supermatrix model with a classical background representing a noncommutative supersphere, enabling the study of supersymmetric gauge theories in a fuzzy geometry context.
Findings
Constructed a supermatrix model for the fuzzy supersphere.
Quantum fluctuations yield supersymmetric gauge theories on the fuzzy supersphere.
Parameter $eta$ tunes particle masses and interpolates between various supersymmetric gauge theories.
Abstract
We construct a supermatrix model whose classical background gives two-dimensional noncommutative supersphere. Quantum fluctuations around it give the supersymmetric gauge theories on the fuzzy supersphere constructed by Klimcik. This model has a parameter which can tune masses of the particles in the model and interpolate various supersymmetric gauge theories on sphere.
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