Exploring conformality in lattice N=4 supersymmetric Yang--Mills
arXiv:2304.04655 · doi:10.22323/1.430.0220
Abstract
Maximally supersymmetric Yang--Mills theory (N=4 SYM) is conformal for any value of the coupling. Lattice regularization breaks conformality through the introduction of a non-zero lattice spacing and a finite lattice volume. This proceedings presents ongoing numerical computations of conformal scaling dimensions in lattice N=4 SYM, based on a lattice formulation that exactly preserves a supersymmetry sub-algebra at non-zero lattice spacing. The main targets are the non-trivial anomalous dimension of the Konishi operator, as well as a mass anomalous dimension extracted from the eigenvalue mode number of the fermion operator. The latter is expected to vanish in the conformal continuum theory, providing insight into the interplay of lattice discretization and conformality.
arXiv commentContribution to the proceedings of Lattice 2022, August 8--13, Bonn, Germany
References in corpus (17)
- Gauge Theory Correlators from Non-Critical String Theory
- Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
- The N=4 Superconformal Bootstrap
- Exact AdS/CFT spectrum: Konishi dimension at any coupling
- Exact lattice supersymmetry
- Anomalous dimension with wrapping at four loops in N=4 SYM
- The Four-Loop Konishi in N=4 SYM
- Scale-dependent mass anomalous dimension from Dirac eigenmodes
- A precise determination of the psibar-psi anomalous dimension in conformal gauge theories
- Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows
- N=4 Supersymmetry on a Space-Time Lattice
- Parallel software for lattice N=4 supersymmetric Yang--Mills theory
- Resummation and S-duality in N=4 SYM
- The spectrum and mass anomalous dimension of SU(2) adjoint QCD with two Dirac flavours
- Real space renormalization group for twisted lattice N=4 super Yang-Mills
- Lattice studies of supersymmetric gauge theories
- Determining the mass anomalous dimension through the eigenmodes of Dirac operator