Towards testing the Maldacena conjecture with SDLCQ

Authors
Citation
U. Trittmann, Towards testing the Maldacena conjecture with SDLCQ, NUCL PH B-P, 90, 2000, pp. 252-255
Citations number
9
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
90
Year of publication
2000
Pages
252 - 255
Database
ISI
SICI code
0920-5632(200012)90:<252:TTTMCW>2.0.ZU;2-U
Abstract
We consider the Maldacena conjecture applied to the near horizon geometry o f a D1-brane in the supergravity approximation and present numerical result s of a test of the conjecture against the boundary field theory calculation using supersymmetric discrete light-cone quantization (SDLCQ). We present numerical results with approximately 1000 times as many states as we previo usly considered. These results support the Maldacena conjecture and are wit hin 10-15% of the predicted numerical results in some regions. Our results are still not sufficient to demonstrate convergence, and, therefore, cannot be considered to a numerical proof of the conjecture. We present a method for using a "flavor" symmetry to greatly reduce the size of the basis and d iscuss a numerical method that we use which is particularly well suited for this type of matrix element calculation.