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

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.

32 pages, 10 figures, the final version to appear in PTEP

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Cited by in corpus (6)

• A study of center and chiral symmetry realization in thermal $\mathcal{N}=1$ super Yang-Mills theory using the gradient flow
• Lattice studies of supersymmetric gauge theories
• Supersymmetric gradient flow in the Wess-Zumino model
• Gradient Flow: Perturbative and Non-Perturbative Renormalization
• Two-loop gradient-flow renormalization of scalar QCD
• Perturbative analysis of the Wess-Zumino flow