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arXiv · hep-th/9907145

Quantum Spacetimes and Finite N Effects in 4D Super Yang-Mills Theories

Pei-Ming Ho·Sanjaye Ramgoolam·Radu Tatar
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Abstract

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.

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Pei-Ming Ho, Sanjaye Ramgoolam, Radu Tatar. 1999-07-17. Quantum Spacetimes and Finite N Effects in 4D Super Yang-Mills Theories. https://doi.org/10.1016/s0550-3213(99)00819-6

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