Non-perturbative construction of 2D and 4D supersymmetric Yang–Mills theories with 8 supercharges
Volume
857
Pagination
335 - 361
Publisher
DOI
10.1016/j.nuclphysb.2011.12.014
Journal
Nuclear Physics B
Issue
ISSN
0550-3213
Metadata
Show full item recordAbstract
In this paper, we consider two-dimensional
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
SYM theory. We also discuss that the same lattice theory realizes four-dimensional
SYM on
around the minimum of k-coincident fuzzy spheres.
Authors
Hanada, M; Matsuura, S; Sugino, FCollections
- Mathematics [1686]