BPS states on noncommutative tori and duality

TL;DR

This paper investigates gauge theories on noncommutative tori, demonstrating that their BPS state spectra align with duality symmetries, thus confirming theoretical predictions about their equivalence under Morita transformations.

Contribution

It provides explicit calculations of BPS state spectra on noncommutative tori and confirms their consistency with SO(d,d| Z)-duality, extending previous theoretical results.

Findings

BPS spectrum matches SO(d,d| Z)-duality predictions

Morita equivalence implies physical equivalence of gauge theories

Results connect with recent computational studies

Abstract

We study gauge theories on noncommutative tori. It was proved in [5] that Morita equivalence of noncommutative tori leads to a physical equivalence (SO(d,d| Z)-duality) of the corresponding gauge theories. We calculate the energy spectrum of maximally supersymmetric BPS states in these theories and show that this spectrum agrees with the SO(d,d| Z)-duality. The relation of our results with those of recent calculations is discussed.