Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-07-17
Nucl.Phys. B573 (2000) 364-376
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, in harvmac big
Scientific paper
10.1016/S0550-3213(99)00819-6
The truncation in the number of single-trace chiral primary operators of $\N=4$ SYM and its conjectured connection with gravity on quantum spacetimes are elaborated. The model of quantum spacetime we use is $AdS^5_q \times S^5_q$ for $q$ a root of unity. The quantum sphere is defined as a homogeneous space with manifest $SU_q(3)$ symmetry, but as anticipated from the field theory correspondence, we show that there is a hidden $SO_q(6)$ symmetry in the constrution. We also study some properties of quantum space quotients as candidate models for the quantum spacetime relevant for some $Z_n$ quiver quotients of the $\N=4$ theory which break SUSY to $\N=2$. We find various qualitative agreements between the proposed models and the properties of the corresponding finite $N$ gauge theories.
Ho Pei-Ming
Ramgoolam Sanjaye
Tatar Radu
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