A Theorem on the Power of Supersymmetry in Matrix Theory

Abstract

For the so-called source-probe configuration in Matrix theory, we prove the following theorem concerning the power of supersymmetry (SUSY): Let $\delta$ be a quantum-corrected effective SUSY transformation operator expandable in powers of the coupling constant $g$ as $\delta ={\sum }_{n\ge 0}{g}^{2n}{\delta }^{(n)}$, where ${\delta }^{(0)}$ is of the tree-level form. Then, apart from an overall constant, the SUSY Ward identity $\delta \Gamma =0$ determines the off-shell effective action $\Gamma$ uniquely to arbitrary order of perturbation theory, provided that the $SO(9)$ symmetry is preserved. Our proof depends only on the properties of the tree-level SUSY transformation laws and does not require the detailed knowledge of quantum corrections.

20 pages

References in corpus (1)

• Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory

Cited by in corpus (3)

• On quantum deformation of conformal symmetry: Gauge dependence via field redefinitions
• Structure in Supersymmetric Yang-Mills Theory
• Power of Supersymmetry in D-particle Dynamics