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arXiv · 2406.18238

Nicolai maps and uniqueness in the light-cone gauge

Nipun Bhave·Saurabh Pant
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Abstract

We compute the Nicolai map for the supersymmetric Yang-Mills theory, in the light-cone gauge, to the second order in the coupling constant for all critical dimensions (d=3,4,6,10). The process of integrating out unphysical degrees of freedom in this gauge, produces a four fermion interaction term. We show that, to the order investigated here, this term is harmless. We demonstrate the existence of a particularly `simple' map in d=4 in the light-cone gauge and address the issue of uniqueness in the context of the map. We also investigate the map in the light-cone superspace in d=4.

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Nipun Bhave, Saurabh Pant. 2024-06-26. Nicolai maps and uniqueness in the light-cone gauge. https://doi.org/10.1007/jhep09(2024)121

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