https://doi.org/10.1051/epjconf/201817511008
Truncation of lattice N = 4 super Yang-Mills
1
Department of Physics, Applied Physics and Astronomy Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180 USA
2
Department of Physics, Syracuse University, Syracuse, 13244 NY USA
Published online: 26 March 2018
In twisted and orbifold formulations of lattice N = 4 super Yang-Mills, the gauge group is necessarily U(1) × SU(N), in order to be consistent with the exact scalar supersymmetry Q. In the classical continuum limit of the theory, where one expands the link fields around a point in the moduli space and sends the lattice spacing to zero, the diagonal U(1) modes decouple from the SU(N) sector, and give an uninteresting free theory. However, lattice artifacts (described by irrelevant operators according to naive power-counting) couple the two sectors, so removing the U(1) modes is a delicate issue. We describe how this truncation to an SU(N) gauge theory can be obtained in a systematic way, with violations of Q that fall off as powers of 1=N2. We are able to achieve this while retaining exact SU(N) lattice gauge symmetry at all N, and provide both theoretical arguments and numerical evidence for the 1=N2 suppression of Q violation.
Speaker, e-mail: giedtj@rpi.edu. JG was supported in part by the Department of Energy, Office of Science, Office of High Energy Physics, Grant No. DE-SC0013496. SC and RGJ were partially supported by Department of Energy grant DESC0009998. Computing resources for this project included Rensselaer’s Center for Computational Innovations, Fermi National Laboratory’s Lattice QCD clusters through a USQCD allocation, and XSEDE [1] resources (Stampede and Comet). We thank David Schaich for comments and discussions.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
