Lattice formulation for 2dN= (2, 2), (4, 4) super Yang-Mills theories without admissibility conditions

So Matsuura, Fumihiko Sugino

研究成果: Article査読

12 被引用数 (Scopus)

抄録

We present a lattice formulation for two-dimensionalN= (2, 2) and (4, 4) supersymmetric Yang-Mills theories that resolves vacuum degeneracy for gauge fields without imposing admissibility conditions. Cases of U(N) and SU(N) gauge groups are considered, gauge fields are expressed by unitary link variables, and one or two supercharges are preserved on the two-dimensional square lattice. There does not appear fermion doubler, and no fine-tuning is required to obtain the desired continuum theories in a perturbative argument. This formulation is expected to serve as a more convenient basis for numerical simulations. The same approach will also be useful to other two-dimensional supersymmetric lattice gauge theories with unitary link variables constructed so far - for example,N= (8,8) supersymmetricYang-Mills theory andN= (2,2) supersymmetricQCD.

本文言語English
論文番号88
ジャーナルJournal of High Energy Physics
2014
4
DOI
出版ステータスPublished - 2014 4

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学

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