Universal form of the Nicolai map

Abstract

The nonlocal bosonic theory obtained from integrating out all anticommuting and auxiliary variables in a globally supersymmetric theory is characterized by the Nicolai map. The latter is generated by a coupling flow functional differential operator, which can be canonically constructed when the supersymmetry is realized off-shell. Given any scalar superfield theory, we present a universal formula for both the Nicolai map and its inverse in terms of an ordered exponential of the integrated coupling flow operator. We demonstrate that our formula also holds for supersymmetric gauge theories.

arXiv comment1+7 pages; v2: minor corrections, outlook slightly extended, two refs. added, matches published version

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Cited by in corpus (10)

• Perturbative linearization of super-Yang-Mills theories in general gauges
• Construction method for the Nicolai map in supersymmetric Yang-Mills theories
• A perturbative expansion scheme for supermembrane and matrix theory
• An improved Nicolai map for super Yang-Mills theory
• Is the Nicolai map unique?
• Nicolai maps for super Yang-Mills on the light cone
• The coupling flow of $\mathcal{N}=4$ super Yang-Mills theory
• Supersymmetric large-order perturbation with the Nicolai map
• Flavor and Fluctuations
• Towards a Nicolai map for supergravity