Supersymmetry and DLCQ

Abstract

In this talk we describe the application of discrete light cone quantization (DLCQ) to supersymmetric field theories. We find that it is possible to formulate DLCQ so that supersymmetry is exactly preserved in the discrete approximation and call this formulation of DLCQ, SDLCQ. It combines the power of DLCQ with all of the beauty of supersymmetry. We have applied SDLCQ to several interesting supersymmetric theories and discussed zero modes, vacuum degeneracy, massless states, mass gaps, and theories in higher dimensions. Most recently we have used it to discuss the Maldacena conjecture.

Talk given at the TJNAF Workshop in honor of Stan Brodsky's 60th Birthday, University of Georgia, September 17, 1999

References in corpus (18)

• Large N Field Theories, String Theory and Gravity
• Wilson loops in large N field theories
• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• Matrix String Theory
• Brane Dynamics and Gauge Theory
• Wilson Loops, Confinement, and Phase Transitions in Large N Gauge Theories from Supergravity
• $1+1$-Dimensional Large $N$ QCD coupled to Adjoint Fermions
• Two Dimensional QCD coupled to Adjoint Matter and String Theory
• Mass Spectra of Supersymmetric Yang-Mills Theories in 1+1 Dimensions
• Symmetries and Mass Splittings in QCD${}_2$ Coupled to Adjoint Fermions
• Bound States of Dimensionally Reduced {SYM}_{2+1} at Finite N
• DLCQ Bound States of N =(2,2) Super-Yang-Mills at Finite and Large N
• The DLCQ Spectrum of N=(8,8) Super Yang-Mills
• The Light-Cone Vacuum in 1+1 Dimensional Super-Yang-Mills Theory
• Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions