SDLCQ and String/Field Theory Correspondences

TL;DR

This paper tests a Maldacena-type conjecture using supersymmetric discrete light-cone quantization (SDLCQ) in a non-perturbative field theory setting, providing numerical evidence supporting the conjecture within 10-15% accuracy.

Contribution

It introduces a method leveraging flavor symmetry to reduce Fock basis size and applies SDLCQ to test a string/field theory correspondence in a near horizon D1-brane geometry.

Findings

Numerical results support the Maldacena conjecture within 10-15%

A new method reduces Fock basis size significantly

Results indicate progress towards higher-dimensional scenarios

Abstract

String/Field theory correspondences have been discussed heavily in recent years. Here, we describe a testing scenario involving a non-perturbative field theory calculation using the framework of supersymmetric discrete light-cone quantization (SDLCQ). We consider a Maldacena-type conjecture applied to the near horizon geometry of a D1-brane in the supergravity approximation. Numerical results of a test of this conjecture are presented with orders of magnitude more states than we previously considered. These results support the Maldacena conjecture and are within 10-15% of the predicted results. We present a method for using a ``flavor'' symmetry to greatly reduce the size of the Fock basis and discuss a numerical method that we use which is particularly well suited for this type of matrix element calculation. Our results are still not sufficient to demonstrate convergence, and, therefore, cannot be considered to be a numerical proof of the conjecture. We update our continuous efforts to improve on these results and present some results on the way to higher dimensional scenarios.