### Abstract

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.

Original language | English |
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Pages (from-to) | 266-297 |

Number of pages | 32 |

Journal | Nuclear Physics B |

Volume | 929 |

DOIs | |

Publication status | Published - 2018 Apr |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Hanada, M., Kadoh, D., Matsuura, S., & Sugino, F. (2018). O(a) improvement of 2D N=(2,2) lattice SYM theory.

*Nuclear Physics B*,*929*, 266-297. https://doi.org/10.1016/j.nuclphysb.2018.02.008