Abstract
The N = 2* Yang-Mills theory in four dimensions is a non-conformal theory that appears as a mass deformation of maximally supersymmetric N = 4 Yang-Mills theory. This theory also takes part in the AdS/CFT correspondence and its gravity dual is type IIB supergravity on the Pilch-Warner background. The finite temperature properties of this theory have been studied recently in the literature. It has been argued that at large N and strong coupling this theory exhibits no thermal phase transition at any nonzero temperature. The low temperature N = 2* plasma can be compared to the QCD plasma. We provide a lattice construction of N = 2* Yang-Mills on a hypercubic lattice starting from the N = 4 gauge theory. The lattice construction is local, gauge-invariant, free from fermion doubling problem and preserves a part of the supersymmetry. This nonperturbative formulation of the theory can be used to provide a highly nontrivial check of the AdS/CFT correspondence in a non-conformal theory.
Highlights
Supersymmetric quantum field theories form an interesting class of theories by themselves
Certain classes of supersymmetric field theories can be formulated on a spacetime lattice by preserving a subset of supersymmetries
We have provided a lattice construction of N = 2∗ supersymmetric Yang-Mills (SYM) that respects gauge invariance, locality, and supersymmetry invariance under one supercharge
Summary
Supersymmetric quantum field theories form an interesting class of theories by themselves. Certain classes of supersymmetric field theories can be formulated on a spacetime lattice by preserving a subset of supersymmetries. These approaches are based on the methods of topological twisting and orbifolding and they can be used to study theories with extended supersymmetries. We detail a lattice construction of a very interesting theory, known as N = 2∗ supersymmetric Yang-Mills (SYM) theory. The twisted theory contains an N = 2 hypermultiplet with the field content (C, Bμν, ζ, χμ, ψμν) We make this hypermultiplet massive when we construct the twisted N = 2∗ SYM theory
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
