Dualities, Supersymmetry

Project Coordinator: CP3-Origins

Partners: Syracuse University, Rensselaer Polytechnic, Queen Mary

Develop a novel and comprehensive understanding of the gauge dynamics of supersymmetric gauge theories vial supercomputers. Introduce new analytic ways to explore the gauge dynamics of nonsupersymmetric   theories by initiating the Seiberg program for these theories.

Task 1: Novel analytical methods: From Gauge Dualities to Gravity Dualities

There exists the intriguing possibility that superficially different gauge theories might flow in the infrared to the same low energy theory. When this happens the theories are said to be gauge duals of each other. Using ‘t Hooft anomaly conditions, global symmetries as well as newly conjectured beta functions for non-supersymmetric gauge theories we will explore possible duals of the gauge theories investigated via first principle lattice simulations. Once found possible duals one can use them in their perturbative regime to make predictions of the strongly coupled gauge dynamics of the associated theory. We will equally investigate possible higher-dimensional classical gravitational theories as possible gravity duals of some of the theories investigated here, using a bottom up approach.

Task 2: Lattice explorations of N=1 SYM using domain wall fermions

We will investigate different supersymmetric gauge theories. In particular to simulate N=1 super Yang-Mills we will utilize, at least initially, an efficient code that was developed at Columbia University as part of a DOE funded project in high performance parallel computing for lattice QCD. The resulting CPS software has been ported to a variety of architectures and we have recently adapted it to allow for simulation of adjoint quarks as needed for N=1 super Yang Mills. It is already running on a BlueGene machine but can be ported easily to a PC cluster equipped with MPI. This code uses a domain wall fermion action to represent the massless quarks needed for this supersymmetric theory. The effects of a single Majorana fermion can also be handled using the RHMC algorithm discussed earlier. The associate academic partners SYR and R are among the pioneers of this research topic and will play an important role for this task and associated training for young researchers.

Task 3: Lattice study of N=4 SYM using SYM and holographic domain wall fermions

We propose to undertake a number of lattice studies of models with extended supersymmetry for which lattice constructions with exact supersymmetry are available. The most interesting of these is N=4 SYM theory which is conjectured to be equivalent to type II string in five dimensional AdS space. We have played a major role in developing these lattice theories and have recently developed a parallel code for studying these systems using the supercomputer cluster at CP3-Origins and elsewhere. Under suitable mass deformations these models may be useful in making progress in understanding issues such as dynamical SUSY breaking. The associate academic partners SYR and R are world leaders in this research and will provide a strong support in developing this research line and with training for young researchers. SYR and R will play a relevant role for this task as well.

Milestones:

  1. Investigate ‘t Hooft anomaly matching conditions for different gauge theories. Timeframe: 8 m.

  2. Identify possible gauge duals and study their gauge dynamics and predictions for the conformal window. Timeframe: 12m.

  3. Initiate lattice explorations of N=1 SYM using domain wall fermions. Timeframe: 12 m.

  4. Initiate lattice study of N=4 SYM and holographic domain wall fermions. Timeframe: 24m.