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arXiv · 1808.07300

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

Aya Kasai·Okuto Morikawa·Hiroshi Suzuki
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Abstract

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.

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Aya Kasai, Okuto Morikawa, Hiroshi Suzuki. 2018-08-22. Gradient flow representation of the four-dimensional $\mathcal{N}=2$ super Yang--Mills supercurrent. https://doi.org/10.1093/ptep/pty117

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