Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-06-25
Class.Quant.Grav. 18 (2001) 5545-5560
Physics
High Energy Physics
High Energy Physics - Theory
21 pages; v2: References and a footnote added
Scientific paper
10.1088/0264-9381/18/24/315
In a previous work, we computed the fully off-shell effective action $\Gamma$ and the corresponding quantum-corrected supersymmetry (SUSY) transformation operator $\delta_\epsilon$ for the so-called source-probe configuration in Matrix theory at one loop at order 4 in the derivative expansion, and showed that they satisfy the SUSY Ward identity $\delta_\epsilon \Gamma=0$. In this article, starting from the most general form of $\Gamma$, we demonstrate that, conversely, given such $\delta_\epsilon$ the SUSY Ward identity determines $\Gamma$ uniquely to the order specified above. Our demonstration does not require the explicit knowledge of the quantum-corrected supersymmetry transformation and hence strongly suggests that the uniqueness property would persist to all orders in perturbation theory.
Kazama Yoichi
Muramatsu Takaki
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