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arXiv · hep-th/0106218

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

Y. Kazama·T. Muramatsu
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Abstract

In a previous work, we computed the fully off-shell effective action $Γ$ and the corresponding quantum-corrected supersymmetry (SUSY) transformation operator $δ_ε$ 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 $δ_εΓ=0$. In this article, starting from the most general form of $Γ$, we demonstrate that, conversely, given such $δ_ε$ the SUSY Ward identity determines $Γ$ 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.

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Y. Kazama, T. Muramatsu. 2001-10-30. Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory II. https://doi.org/10.1088/0264-9381%2F18%2F24%2F315

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