Abstract
Abstract In this paper we detail the lattice constructions of several classes of supersymmetric quiver gauge theories in two and three Euclidean spacetime dimensions possessing exact supersymmetry at finite lattice spacing. Such constructions are obtained through the methods of topological twisting and geometric discretization of Euclidean Yang-Mills theories with eight and sixteen supercharges in two and three dimensions. We detail the lattice constructions of two-dimensional quiver gauge theories possessing four and eight supercharges and three-dimensional quiver gauge theories possessing eight supercharges.
Highlights
SYM theories and topological twistingWe briefly discuss the twisting process of SYM theories with extended supersymmetries on flat Euclidean spacetime
Regularization of supersymmetric quiver gauge theories when we are interested in investigating the strong coupling regimes of these theories
In this work we focus on supersymmetric quiver gauge theories with extended supersymmetries on the lattice
Summary
We briefly discuss the twisting process of SYM theories with extended supersymmetries on flat Euclidean spacetime. They transform like twisted fermions, in integer spin representations of the twisted rotation group Another important feature of twisting is that in the twisted supersymmetry algebra the subalgebra containing the 0-form supercharge Q is nilpotent. (In some cases, for example, the N = 4 SYM in four dimensions, the twisted action can be expressed as a sum of Q-exact and Q-closed terms.) We note that the subalgebra Q2 = 0 of the twisted supersymmetry algebra does not produce any spacetime translations. This makes it possible for the twisted theory to be transported on to the lattice. To make our discussion more self-contained, we briefly go through the continuum twisted formulations of these theories
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
