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Invariance Theorems for Supersymmetric Yang-Mills Theories
High Energy Physics - Theory · Submitted 27 Jan 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that all normalizable ground states in these gauge theories are invariant under this flavor symmetry.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider quantum mechanical Yang-Mills theories with eight supercharges and a $Spin(5) \times SU(2)_R$ flavor symmetry. | background 0.73 | 0.36 | 0.03 | asserted 0.79 |
| s1 | We show that all normalizable ground states in these gauge theories are invariant under this flavor symmetry. | result 0.99 | 0.94 | 0.81 | asserted 1.00 |
| s2 | This includes, as a special case, all bound states of D0-branes and D4-branes. | interpretation 0.65 | 0.58 | 0.08 | asserted 0.99 |
| s3 | As a consequence, all bound states of D0-branes are invariant under the $Spin(9)$ flavor symmetry. | result 0.79 | 0.84 | 0.21 | asserted 1.00 |
| s4 | When combined with index results, this implies that the bound state of two D0-branes is unique. | result 0.55 | 0.75 | 0.21 | asserted 0.98 |
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Original 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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