On exact supersymmetry in DLCQ

Citation
F. Antonuccio et al., On exact supersymmetry in DLCQ, PHYS LETT B, 442(1-4), 1998, pp. 173-179
Citations number
17
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
442
Issue
1-4
Year of publication
1998
Pages
173 - 179
Database
ISI
SICI code
0370-2693(199812)442:1-4<173:OESID>2.0.ZU;2-L
Abstract
In recent years a supersymmetric form of discrete light-cone quantization t hereafter 'SDLCQ') has emerged as a very powerful tool for solving supersym metric field theories. In this scheme, one calculates the light-cone superc harge with respect to a discretized light-cone Fock basis, instead of worki ng with the light-cone Hamiltonian. This procedure has the advantage of pre serving supersymmetry even in the discretized theory, and eliminates the ne ed for explicit renormalizations in 1+1 dimensions. In order to compare the usual DLCQ prescription with the supersymmetric prescription, we consider two dimensional SU(N) Yang-Mills theory coupled to a massive adjoint Majora na fermion, which is known to be supersymmetric at a particular value of th e fermion mass. After studying how singular-valued amplitudes and intermedi ate zero momentum modes are regularized in both schemes, we are able to est ablish a precise connection between conventional DLCQ and its supersymmetri c extension, SDLCQ. In particular, we derive the explicit form of the (irre levant) interaction that renders the DLCQ formulation of the theory exactly supersymmetric for any Light-cone compactification. We check our analytica l results via a numerical procedure, and discuss the relevance of this inte raction when supersymmetry is explicitly broken. (C) 1998 Elsevier Science B.V. All rights reserved.