Invariance Theorems for Supersymmetric Yang-Mills Theories
Abstract
We consider quantum mechanical Yang-Mills theories with eight supercharges and a Spin(5) × 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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