Advances and applications of lattice supersymmetry

Abstract

I review motivations for the study of supersymmetric field theories by lattice techniques. In particular, some of the more interesting potential applications are described. These are models of quantum gravity, that rely on the AdS/CFT correspondence. The dual gauge theory is an ideal place for lattice studies to make a contribution. I also survey some of the recent advances in lattice formulations of supersymmetric theories.

15 pages, 6 figures, plenary talk, XXIV International Symposium on Lattice Field Theory, July 23-28, 2006, Tucson, AZ, USA

References in corpus (10)

• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Deconstruction and other approaches to supersymmetric lattice field theories
• Gap Domain Wall Fermions
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Les Houches Lectures on Warped Models and Holography
• A Critique of the Link Approach to Exact Lattice Supersymmetry
• Noncommutativity Approach to Supersymmetry on the Lattice: SUSY Quantum Mechanics and an Inconsistency
• Twisted supersymmetric sigma model on the lattice
• Deconstruction, 2d lattice Yang-Mills, and the dynamical lattice spacing
• A deconstruction lattice description of the D1/D5 brane world-volume gauge theory

Cited by in corpus (2)

• Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study
• Matrix formulation of superspace on 1D lattice with two supercharges