SUSY WT identity in a lattice formulation of 2D N = (2, 2) SYM

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Abstract

We address some issues relating to a supersymmetric (SUSY) Ward-Takahashi (WT) identity in Sugino's lattice formulation of two-dimensional (2D) N = (2, 2) SU (k) supersymmetric Yang-Mills theory (SYM). A perturbative argument shows that the SUSY WT identity in the continuum theory is reproduced in the continuum limit without any operator renormalization/mixing and tuning of lattice parameters. As application of the lattice SUSY WT identity, we show that a prescription for the Hamiltonian density in this lattice formulation, proposed by Kanamori, Sugino and Suzuki, is justified also from a perspective of an operator algebra among correctly-normalized supercurrents. We explicitly confirm the SUSY WT identity in the continuum limit to the first nontrivial order in a semi-perturbative expansion. © 2009 Elsevier B.V. All rights reserved.

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Kadoh, D., & Suzuki, H. (2010). SUSY WT identity in a lattice formulation of 2D N = (2, 2) SYM. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 682(4–5), 466–471. https://doi.org/10.1016/j.physletb.2009.11.028

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