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

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

1999-11-24

arxiv.org/abs/hep-th/9911186v1

Phys.Rev.D61:125015,2000

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 1 figure, LaTeX

Scientific paper

10.1103/PhysRevD.61.125015

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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