Exact extended supersymmetry on a lattice: Twisted N=4 super-Yang–Mills in three dimensions
| Autor: | A. D'Adda, Noboru Kawamoto, Issaku Kanamori, Kazuhiro Nagata |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics High Energy Physics::Lattice High Energy Physics - Lattice (hep-lat) High Energy Physics::Phenomenology Lattice field theory FOS: Physical sciences Yang–Mills existence and mass gap Supersymmetry Yang–Mills theory Superspace High Energy Physics::Theory Theoretical physics Leibniz integral rule symbols.namesake High Energy Physics - Lattice High Energy Physics - Theory (hep-th) Quantum mechanics symbols F-term D-term |
| Zdroj: | Nuclear Physics B. 798:168-183 |
| ISSN: | 0550-3213 |
| DOI: | 10.1016/j.nuclphysb.2008.01.026 |
| Popis: | We propose a lattice formulation of three dimensional super Yang-Mills model with a twisted N=4 supersymmetry. The extended supersymmetry algebra of all the eight supercharges is fully and exactly realized on the lattice with a modified "Leibniz rule". The formulation we employ here is a three dimensional extension of manifestly gauge covariant method which was developed in our previous proposal of Dirac-Kaehler twisted N=2 super Yang-Mills on two dimensional lattice. The twisted N=4 supersymmetry algebra is geometrically realized on a three dimensional lattice with link supercharges and the use of "shifted" (anti-)commutators. A possible solution to the recent critiques on the link formulation will be discussed. Comment: 17 pages, 11 figures; v2 a reference added; v3 appendix added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect