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Invariance Theorems for Supersymmetric Yang-Mills Theories

Savdeep Sethi·Mark Stern
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Abstract

We consider quantum mechanical Yang-Mills theories with eight supercharges and a $Spin(5) \times SU(2)_R$ flavor symmetry. We show that all normalizable ground states in these gauge theories are invariant under this flavor symmetry. This includes, as a special case, all bound states of D0-branes and D4-branes. As a consequence, all bound states of D0-branes are invariant under the $Spin(9)$ flavor symmetry. When combined with index results, this implies that the bound state of two D0-branes is unique.

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Savdeep Sethi, Mark Stern. 2000-09-18. Invariance Theorems for Supersymmetric Yang-Mills Theories. https://arxiv.org/abs/hep-th/0001189

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