Can DLCQ test the Maldacena conjecture?

Citation
F. Antonuccio et al., Can DLCQ test the Maldacena conjecture?, J HIGH EN P, (7), 1999, pp. NIL_597-NIL_616
Citations number
39
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Issue
7
Year of publication
1999
Pages
NIL_597 - NIL_616
Database
ISI
SICI code
1029-8479(19991006):7<NIL_597:CDTTMC>2.0.ZU;2-6
Abstract
We consider the Maldacena conjecture applied to the near horizon geometry o f a D1-brane in the supergravity approximation and consider the possibility of testing the conjecture against the boundary field theory calculation us ing DLCQ. We propose the two point function of the stress energy tensor as a convenient quantity that may be computed on both sides of the corresponde nce. On the supergravity side, we may invoke the methods of Gubser, Klebano v, Polyakov, and Witten. On the field theory side, we derive an explicit ex pression for the two point function in terms of data that may be extracted from a DLCQ calculation at a given harmonic resolution. This gives rise to a well defined numerical algorithm for computing the two point function, wh ich we test in the context of free fermions and the 't Hooft model. For the supersymmetric Yang-Mills theory with 16 supercharges that arises in the M aldacena conjecture, the algorithm is perfectly well defined, although the size of the numerical computation grows too fast to admit any detailed anal ysis at present, and our results are only preliminary. We are, however, abl e to present more detailed results on the supersymmetric DLCQ computation o f the stress energy tensor correlators for two dimensional Yang Mills theor ies with (1,1) and (2,2) supersymmetries.