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Curvature Dependence of Running Gauge Coupling and Confinement in AdS/CFT Correspondence

Shin'ichi Nojiri·Sergei D. Odintsov
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Abstract

We construct IIB supergravity (viewed as dilatonic gravity) background with non-trivial dilaton and with curved four-dimensional space. Such a background may describe another vacuum of maximally supersymmetric Yang-Mills theory or strong coupling regime of (non)-supersymmetric gauge theory with (power-like) running gauge coupling which depends on curvature. Curvature dependent quark-antiquark potential is calculated where the geometry type of hyperbolic (or de Sitter universe) shows (or not) the tendency of the confinement. Generalization of IIB supergravity background with non-constant axion is presented. Quark-antiquark potential being again curvature-dependent has a possibility to produce the standard area law for large separations.

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Shin'ichi Nojiri, Sergei D. Odintsov. 1999-11-02. Curvature Dependence of Running Gauge Coupling and Confinement in AdS/CFT Correspondence. https://doi.org/10.1103/physrevd.61.044014

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