Two-Dimensional Lattice for Four-Dimensional = 4 Supersymmetric Yang-Mills
Volume
126
Pagination
597 - 611
Publisher
DOI
10.1143/ptp.126.597
Journal
Progress of Theoretical and Experimental Physics
Issue
ISSN
0033-068X
Metadata
Show full item recordAbstract
We construct a lattice formulation of a mass-deformed two-dimensional graphic = (8,8) super Yang-Mills theory with preserving two supercharges exactly. Gauge fields are represented by compact unitary link variables, and the exact supercharges on the lattice are nilpotent up to gauge transformations and SU(2)R rotations. Due to the mass deformation, the lattice model is free from the vacuum degeneracy problem, which was encountered in earlier approaches, and flat directions of scalar fields are stabilized giving discrete minima representing fuzzy S2. Around the trivial minimum, quantum continuum theory is obtained with no tuning, which serves a nonperturbative construction of the IIA matrix string theory. Moreover, around the minimum of k-coincident fuzzy spheres, four-dimensional graphic = 4 U(k) super Yang-Mills theory with two commutative and two noncommutative directions emerges. In this theory, sixteen supersymmetries are broken by the mass deformation to two. Assuming the breaking is soft, we give a scenario leading to undeformed graphic = 4 super Yang-Mills on R4 without any fine tuning. As an evidence for the validity of the assumption, some computation of 1-loop radiative corrections is presented.
Authors
Hanada, M; Matsuura, S; Sugino, FCollections
- Mathematics [1686]