Recent progress in lattice supersymmetry: from lattice gauge theory to black holes

Abstract

Supersymmetry (SUSY) is a fascinating topic in theoretical physics, because of its unique and counterintuitive properties. It is expected to emerge as new physics beyond the standard model, and it is also a building block for supergravity and superstring theory. A number of exact results obtained via SUSY theories provide insights into field theory. However, the dynamics of many SUSY theories are not yet fully understood, and numerical study of SUSY theories through lattice simulations is promising as regards furthering this understanding. In this paper, I overview the current status of lattice SUSY by discussing its development in chronological order, and by reviewing some simple models. In addition, I discuss the numerical verification of gauge/gravity duality, which is one of the recent significant developments in this field.

arXiv comment15 pages, 2 figures, Talk given at the 33rd International Symposium on Lattice Field Theory, 14-18 July 2015, Kobe, Japan

References in corpus (5)

• The BFSS model on the lattice
• TASI Lectures on a Holographic View of Beyond the Standard Model Physics
• The light bound states of supersymmetric SU(2) Yang-Mills theory
• Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges
• A one-loop test for construction of 4D N=4 SYM from 2D SYM via fuzzy sphere geometry

Cited by in corpus (9)

• Testing holography using lattice super-Yang--Mills on a 2-torus
• Energy loss of a nonaccelerating quark moving through a strongly coupled N=4 super Yang-Mills vacuum or plasma in strong magnetic field
• 4D $\mathcal{N}=1$ SYM supercurrent in terms of the gradient flow
• Thermal phase structure of a supersymmetric matrix model
• O(a) Improvement of 2D N=(2,2) Lattice SYM Theory
• Lattice study of supersymmetry breaking in N=2 supersymmetric quantum mechanics
• Numerical study of the $\mathcal{N}=2$ Landau--Ginzburg model
• Continuum limit in numerical simulations of the $\mathcal{N}=2$ Landau--Ginzburg model
• Lattice Formulation of $\mathcal{N}=2^{\ast }$ Yang-Mills