Anti-Periodic Boundary Conditions in Supersymmetric DLCQ

Abstract

It is of considerable importance to have a numerical method for solving supersymmetric theories that can support a non-zero central charge. The central charge in supersymmetric theories is in general a boundary integral and therefore vanishes when one uses periodic boundary conditions. One is therefore prevented from studying BPS states in the standard supersymmetric formulation of DLCQ (SDLCQ). We present a novel formulation of SDLCQ where the fields satisfy anti-periodic boundary conditions. The Hamiltonian is written as the anti-commutator of two charges, as in SDLCQ. The anti-periodic SDLCQ we consider breaks supersymmetry at finite resolution, but requires no renormalization and becomes supersymmetric in the continuum limit. In principle, this method could be used to study BPS states. However, we find its convergence to be disappointingly slow.

9pp, 2 figures

References in corpus (14)

• M Theory As A Matrix Model: A Conjecture
• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Bound States Of Strings And $p$-Branes
• Matrix String Theory
• A Correspondence Principle for Black Holes and Strings
• String Spectrum of 1+1-Dimensional Large N QCD with Adjoint Matter
• $1+1$-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
• Towards a SDLCQ test of the Maldacena Conjecture
• Can DLCQ test the Maldacena Conjecture?
• The DLCQ Spectrum of N=(8,8) Super Yang-Mills
• Remarks on Defining the DLCQ of Quantum Field Theory as a Light-Like Limit
• The Perils of `Soft' SUSY Breaking

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