Supersymmetry algebra and BPS states of super Yang-Mills theories on noncommutative tori
A. Konechny, A. Schwarz
TL;DR
This paper analyzes the supersymmetry algebra and BPS states of 10D super Yang-Mills theories compactified on noncommutative tori, revealing invariance properties and extending previous results in the field.
Contribution
It provides a detailed calculation of the supersymmetry algebra and BPS spectra for theories on noncommutative tori of dimensions 2, 3, and 4, highlighting invariance and connections to prior work.
Findings
Derived BPS energy spectra for noncommutative tori
Confirmed SO(d,d|Z)-invariance of BPS spectra
Extended previous analyses to higher-dimensional tori
Abstract
We consider 10-dimensional super Yang-Mills theory with topological terms compactified on a noncommutative torus. We calculate supersymmetry algebra and derive BPS energy spectra from it. The cases of d-dimensional tori with d=2,3,4 are considered in full detail. SO(d,d|Z)-invariance of the BPS spectrum and relation of new results to the previous work in this direction are discussed.
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