Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges

Masanori Hanada, So Matsuura, Fumihiko Sugino

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


In this paper, we consider two-dimensional N=(4,4) supersymmetric Yang-Mills (SYM) theory and deform it by a mass parameter M with keeping all supercharges. We further add another mass parameter m in a manner to respect two of the eight supercharges and put the deformed theory on a two-dimensional square lattice, on which the two supercharges are exactly preserved. The flat directions of scalar fields are stabilized due to the mass deformations, which gives discrete minima representing fuzzy spheres. We show in the perturbation theory that the lattice continuum limit can be taken without any fine tuning. Around the trivial minimum, this lattice theory serves as a non-perturbative definition of two-dimensional N=(4,4) SYM theory. We also discuss that the same lattice theory realizes four-dimensional N=2 U(k) SYM on R2×(Fuzzy R2) around the minimum of k-coincident fuzzy spheres.

Original languageEnglish
Pages (from-to)335-361
Number of pages27
JournalNuclear Physics B
Issue number3
Publication statusPublished - 2012 Apr 21

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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