Simulations of Script N = 2 super Yang-Mills theory in two dimensions

2006/02/28 by Simon Catterall · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/03/032

published as JHEP 0603 (2006) 032 · 34 pages, 12 figures, 7 tables. Eqn. 6.1 corrected. Version to be published in JHEP

arxiv created 2006/03/06 · openalex publication_date 2006/03/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We present results from lattice simulations of \cal N=2 super Yang-Mills theory in two dimensions. The lattice formulation we use was developed in \cite2dpaper and retains both gauge invariance and an exact (twisted) supersymmetry for any lattice spacing. Results for both U(2) and SU(2) gauge groups are given. We focus on supersymmetric Ward identities, the phase of the Pfaffian resulting from integration over the Grassmann fields and the nature of the quantum moduli space.

Citations

• Exact Lattice Supersymmetry from Topological Field Theory
• Deconstruction, 2d lattice Yang-Mills, and the dynamical lattice spacing

Cited by

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• MATRIX FORMULATION OF SUPERSPACE ON 1D LATTICE WITH TWO SUPERCHARGES