Super Yang-Mills theories on the two-dimensional lattice with exact supersymmetry
By Fumihiko Sugino. 2004
135 citations recorded by the source corpus.
We construct super Yang-Mills theories with = 2,4 supersymmetries on the two-dimensional square lattice keeping one or two supercharges exactly. Along the same line as the previous paper [1], the construction is based on topological field theory formulation. We present two kinds of modifications of the action which preserve the exact supersymmetry and resolve the problem of degenerate classical vacua encountered in the previous paper. Any supersymmetry breaking terms do not need to be introduced, and the formulations exactly realize some of supersymmetries at the lattice level. Our lattice actions flow to the desired continuum theories without any fine tuning of parameters.
Subfields: Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/9702f552e6a82aa025e888d86887f61804ada52c
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In Geometry and Topology
In Nuclear and High Energy Physics
Citations in the corpus
- Exact lattice supersymmetry (2008, background): “It is this scalar supersymmetry that can be made manifest in the lattice action even at finite lattice spacing [20, 21, 22, 23, 24, 25, 26, 27, 28].”
- Towards lattice simulation of the gauge theory duals to black holes and hot strings (2007, methodology): “Two approaches have been used; lattice models arising from orbifolding a supersymmetric matrix model [13, 14, 15, 16, 17] and constructions based on discretizing a topological or twisted form of the continuum supersymmetric theory [18, 19, 20, 21, 22].”