1/4-BPS states on noncommutative tori

TL;DR

This paper provides explicit classical solutions for 1/4-BPS states in supersymmetric Yang-Mills theory on noncommutative tori and analyzes their quantum degeneracies, advancing understanding of BPS states in noncommutative geometry.

Contribution

It introduces explicit classical 1/4-BPS solutions on noncommutative tori and investigates their quantum degeneracies, a novel approach in this context.

Findings

Explicit classical 1/4-BPS solutions derived

Quantum degeneracy of 1/4-BPS energy levels calculated

Enhanced understanding of BPS states in noncommutative spaces

Abstract

We give an explicit expression for classical 1/4-BPS fields in supersymmetric Yang-Mills theory on noncommutative tori. We use it to study quantum 1/4-BPS states. In particular we calculate the degeneracy of 1/4-BPS energy levels.