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Title: Exact Lattice Supersymmetry

Abstract

We provide an introduction to recent lattice formulations of supersymmetric theories which are invariant under one or more real supersymmetries at nonzero lattice spacing. These include the especially interesting case of N = 4 SYM in four dimensions. We discuss approaches based both on twisted supersymmetry and orbifold-deconstruction techniques and show their equivalence in the case of gauge theories. The presence of an exact supersymmetry reduces and in some cases eliminates the need for fine tuning to achieve a continuum limit invariant under the full supersymmetry of the target theory. We discuss open problems.

Authors:
; ;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
953013
Report Number(s):
SLAC-PUB-13567
arXiv:0903.4881; TRN: US0902620
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article
Journal Name:
Submitted to Physics Reports
Additional Journal Information:
Journal Name: Submitted to Physics Reports
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SUPERSYMMETRY; UNIFIED GAUGE MODELS; GAUGE INVARIANCE; Lattice,HEPPH, HEPTH

Citation Formats

Catterall, Simon, Kaplan, David B, and Unsal, Mithat. Exact Lattice Supersymmetry. United States: N. p., 2009. Web. doi:10.1016/j.physrep.2009.09.001.
Catterall, Simon, Kaplan, David B, & Unsal, Mithat. Exact Lattice Supersymmetry. United States. https://doi.org/10.1016/j.physrep.2009.09.001
Catterall, Simon, Kaplan, David B, and Unsal, Mithat. 2009. "Exact Lattice Supersymmetry". United States. https://doi.org/10.1016/j.physrep.2009.09.001. https://www.osti.gov/servlets/purl/953013.
@article{osti_953013,
title = {Exact Lattice Supersymmetry},
author = {Catterall, Simon and Kaplan, David B and Unsal, Mithat},
abstractNote = {We provide an introduction to recent lattice formulations of supersymmetric theories which are invariant under one or more real supersymmetries at nonzero lattice spacing. These include the especially interesting case of N = 4 SYM in four dimensions. We discuss approaches based both on twisted supersymmetry and orbifold-deconstruction techniques and show their equivalence in the case of gauge theories. The presence of an exact supersymmetry reduces and in some cases eliminates the need for fine tuning to achieve a continuum limit invariant under the full supersymmetry of the target theory. We discuss open problems.},
doi = {10.1016/j.physrep.2009.09.001},
url = {https://www.osti.gov/biblio/953013}, journal = {Submitted to Physics Reports},
number = ,
volume = ,
place = {United States},
year = {Tue Mar 31 00:00:00 EDT 2009},
month = {Tue Mar 31 00:00:00 EDT 2009}
}