2007/10/31 by Kazuhiro Nagata
Physics and Astronomy · #Black Holes and Theoretical Physics #Dimensional reduction #Gauge theory #Lattice (music) #Lattice field theory #Lattice gauge theory #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Spacetime #Superspace #hep-lat #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/01/041
published as JHEP0801:041,2008 · 28 pages, 2 figures; references added
arxiv created 2007/11/02 · openalex publication_date 2008/01/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Employing a twisted superspace with eight supercharges, we describe an off-shell formulation of N=4 D=3 twisted super Yang-Mills in the continuum spacetime which underlies the recent proposal of N=4 D=3 twisted super Yang-Mills on a lattice (arXiv:0707.3533[hep-lat]). By a dimensional reduction from the N=2 D=4, we explore the two possible topological twists of N=4 D=3 and then show that the lattice formulation given in arXiv:0707.3533[hep-lat] is essentially categorized as the B-type. We also show that, amongst the two inequivalent twists of N=4 D=3, only the B-type SYM can be realized on the lattice consistently with the Leibniz rule and the gauge covariance on the lattice.