SDLCQ and String/Field theory correspondences

Authors
Citation
U. Trittmann, SDLCQ and String/Field theory correspondences, NUCL PH B-P, 101, 2001, pp. 314-322
Citations number
25
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
101
Year of publication
2001
Pages
314 - 322
Database
ISI
SICI code
0920-5632(200108)101:<314:SASTC>2.0.ZU;2-U
Abstract
String/Field theory correspondences have been discussed heavily in recent y ears. Here, we describe a testing scenario involving a non-perturbative fie ld 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 approximatio n. Numerical results of a test of this conjecture are presented with orders of magnitude more states as we previously considered. These results suppor t 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 siz e of the Fock basis and discuss a numerical method that we use which is par ticularly well suited for this type of matrix element calculation. Our resu lts are still not sufficient to demonstrate convergence, and, therefore, ca nnot 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.