Supersymmetry on a euclidean spacetime lattice 1. A target theory with four supercharges

By A. Cohen, D. Kaplan, E. Katz, M. Unsal. 2003

186 citations recorded by the source corpus.

We formulate a euclidean spacetime lattice whose continuum limit is (2,2) supersymmetric Yang-Mills theory in two dimensions, a theory which possesses four supercharges and an anomalous global chiral symmetry. The lattice action respects one exact supersymmetry, which allows the target theory to emerge in the continuum limit without fine-tuning. Our method exploits an orbifold construction described previously for spatial lattices in Minkowski space, and can be generalized to more complicated theories with additional supersymmetry and more spacetime dimensions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b7acbb7614694d28669b7ada3566001228393975

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. Fumihiko Sugino

In Nuclear and High Energy Physics

1. M. Unsal
2. D. Kaplan
3. Fumihiko Sugino
4. Simon Catterall
5. T. Wiseman
6. G. Dunne
7. I. Low
8. Daniele Dorigoni

In Statistical and Nonlinear Physics

1. Fumihiko Sugino
2. M. Unsal
3. D. Kaplan
4. P. Argyres
5. G. Dunne

Citations in the corpus

• A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges (2005, background): “4.1 The target theory 20 4.2 The mother theory in SU(4)× U(1)× U(1) multiplets 20 4.3 Manifest Q = 2 supersymmetry 22 4.4 The D = 3, Q = 2 lattice action and its symmetries 26 4.5 The continuum limit for d”
• Super Yang-Mills theories on the two-dimensional lattice with exact supersymmetry (2004, background): “Recently, for super Yang-Mills (SYM) theories, an interesting approach motivated from the idea of deconstruction was presented [11, 12]2.”
• Supersymmetry on a Spatial Lattice (2002, unknown): “In general, certain discrete GR transformations which exchange the HR charges qi of the Φ fields in the mother theory combine with discrete U(kNd) symmetries to form the point group of the resulting lattice (see [25] for an explicit example).”
• Supersymmetry on a euclidean spacetime lattice 2. Target theories with eight supercharges (2003, unknown): “[1, 2 ]. We have shown that the tree level action has the desired continuum limit; we must now argue that there are no relevant or marginal operators generated radiatively which violate the Lorentz and Q = 8 supersymmetry of the target theory.”