Supersymmetry on a Lattice

26th IUPAP Conference on Computational Physics

物理学;计算机科学

Catterall, Simon^1

Department of Physics, Syracuse University, Syracuse

NY

13244, United States^1

关键词: Bootstrap technique;    Field theory;    Gauge theory;    Gravitational theory;    Scattering amplitudes;    Spacetime;    Strong coupling;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/640/1/012050/pdf
DOI  :  10.1088/1742-6596/640/1/012050

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

Attempts to formulate supersymmetric field theories on discrete spacetime lattices have a long history. However, until recently most of these efforts have failed. In this talk I will review some of the new ideas that have finally allowed a solution to this problem for certain supersymmetric theories. I will focus my attention, in particular, on N=4 super Yang-Mills which forms one of the pillars of the AdSCFT correspondence connecting gravitational theories in anti-deSitter space to gauge theories living on the boundary of that space. It is also integral to the scattering amplitudes program and is under intensive study using conformal bootstrap techniques. I will review the theoretical construction of the model and describe what is known analytically about the lattice theory. Following on from this I will present preliminary results stemming from the first large scale lattice study of N=4 Yang-Mills. Our results are consistent with the existence of a single deconfined phase for the theory in which the static fermion potential shows only a Coulomb-like behavior. Unlike QCD there is no confining, chirally broken phase even at strong coupling.