Quantum space-times and finite N effects in 4-D superYang-Mills theories
Journal
Nuclear Physics
Journal Volume
B573
Pages
364-376
Date Issued
1999-07
Author(s)
Abstract
The truncation in the number of single-trace chiral primary operators of script N = 4 SYM and its conjectured connection with gravity on quantum space-times are elaborated. The model of quantum space-time we use is AdS5q × S5q for q a root of unity. The quantum sphere is defined as a homogeneous space with manifest SUq (3) symmetry, but as anticipated from the field theory correspondence, we show that there is a hidden SOq(6) symmetry in the construction. We also study some properties of quantum space quotients as candidate models for the quantum space-time relevant for some Zn quiver quotients of the script N = 4 theory which break SUSY to script N = 2. We find various qualitative agreements between the proposed models and the properties of the corresponding finite N gauge theories. © 2000 Elsevier Science B.V. All rights reserved.
Type
journal article