Supersymmetry on a Spatial Lattice

By D. Kaplan, E. Katz, M. Unsal. 2002

191 citations recorded by the source corpus.

We construct a variety of supersymmetric gauge theories on a spatial lattice, including N = 4 supersymmetric Yang-Mills theory in 3+1 dimensions. Exact lattice supersymmetry greatly reduces or eliminates the need for fine tuning to arrive at the desired continuum limit in these examples.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d389582b1a44ad370545e6024c41fd427b8f3db8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. M. Unsal
2. D. Kaplan
3. Simon Catterall
4. A. Cohen
5. E. Katz
6. I. Low
7. Hsin-Chia Cheng

In Nuclear and High Energy Physics

1. D. Kaplan
2. M. Unsal
3. Simon Catterall
4. E. Katz
5. A. Cohen
6. I. Low
7. Hsin-Chia Cheng
8. M. Schmaltz

Citations in the corpus

• Exact lattice supersymmetry (2008, methodology): “As we will show, the orbifold approach is a very powerful way to generate all the known SYM lattices, and in fact was how they were first derived for spatial lattices [31] and Euclidean spacetime lattices [32, 33, 34, 35].”
• A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges (2005, background): “Recently the first nonperturbative construction of these theories was accomplished on a spatial lattice (Relevant for a Hamiltonian formulation) [11]; in this paper we provide a formulation of Euclidean spacetime lattices, appropriate for a nonperturbative construction of the path integral for these”
• Supersymmetry on a euclidean spacetime lattice 1. A target theory with four supercharges (2003, methodology): “ers would be needed to eliminate radiative corrections to scalar masses and interactions. A method to circumvent this problem was recently proposed for spatial lattices with continuous Minkowski time [22]. The lattices are obtained by an orbifold projection of a “mother theory” that has as much supe”
• Supersymmetry on a euclidean spacetime lattice 2. Target theories with eight supercharges (2003, unknown): “To create a two dimensional lattice from the Q = 8 mother theory, which will describe the (4, 4) SYM theory in the two-dimensional continuum, we orbifold by ZN ×ZN , where the two ZN transformations are determined by the charges r1 and r2 in Table 1.”