Gradient flow representation of the four-dimensional \(\mathcal{N}=2\) super Yang--Mills supercurrent

In K.~Hieda, A.~Kasai, H.~Makino, and H.~Suzuki, Prog.\ Theor.\ Exp.\ Phys.\ \textbf{2017}, 063B03 (2017), a properly normalized supercurrent in the four-dimensional (4D) \(\mathcal{N}=1\) super Yang--Mills theory (SYM) that works within on-mass-shell correlation functions of gauge-invariant operato...

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Bibliographic Details
Published inarXiv.org
Main Authors Kasai, Aya, Morikawa, Okuto, Suzuki, Hiroshi
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.11.2018
Subjects
Gradient flow
Lattice parameters
Regularization
Supersymmetry
Yang-Mills theory
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Summary:In K.~Hieda, A.~Kasai, H.~Makino, and H.~Suzuki, Prog.\ Theor.\ Exp.\ Phys.\ \textbf{2017}, 063B03 (2017), a properly normalized supercurrent in the four-dimensional (4D) \(\mathcal{N}=1\) super Yang--Mills theory (SYM) that works within on-mass-shell correlation functions of gauge-invariant operators is expressed in a regularization-independent manner by employing the gradient flow. In the present paper, this construction is extended to the supercurrent in the 4D \(\mathcal{N}=2\) SYM. The so-constructed supercurrent will be useful, for instance, for fine tuning of lattice parameters toward the supersymmetric continuum limit in future lattice simulations of the 4D \(\mathcal{N}=2\) SYM.
ISSN:2331-8422
DOI:10.48550/arxiv.1808.07300