Fe b 20 18 YITP-1757 O ( a ) Improvement of 2 D N = ( 2 , 2 ) Lattice SYM Theory

We perform a tree-level O(a) improvement of two-dimensional N = (2, 2) supersymmetric Yang-Mills theory on the lattice, motivated by the fast convergence in numerical simulations. The improvement respects an exact supersymmetry Q which is needed for obtaining the correct continuum limit without a parameter fine tuning. The improved lattice action is given within a milder locality condition in which the interactions are decaying as the exponential of the distance on the lattice. We also prove that the path-integral measure is invariant under the improved Q-transformation.  kadoh@keio.jp s.matsu@phys-h.keio.ac.jp fusugino@gmail.com

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