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arXiv · hep-th/9911186

Quantum Spectrum of Instanton Solitons in Five Dimensional Noncommutative U(N) Theories

Kimyeong Lee·Piljin Yi
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Abstract

We explore quantum states of instanton solitons in five dimensional noncommutative Yang-Mills theories. We start with maximally supersymmetric U(N) theory compactified on a circle S^1, and derive the low energy dynamics of instanton solitons, or calorons, which is no longer singular. Quantizing the low energy dynamics, we find N physically distinct ground states with a unit Pontryagin number and no electric charge. These states have a natural D-string interpretation. The conclusion remains unchanged as we decompactify S^1, as long as we stay in the Coulomb phase by turning on adjoint Higgs expectation values.

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Kimyeong Lee, Piljin Yi. 1999-11-24. Quantum Spectrum of Instanton Solitons in Five Dimensional Noncommutative U(N) Theories. https://doi.org/10.1103/physrevd.61.125015

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