Discrete and oscillatory matrix models in Chern–Simons theory
Copyright policy )Discrete and oscillatory matrix models in Chern–Simons theory
We derive discrete and oscillatory Chern-Simons matrix models. The method is based on fundamental properties of the associated orthogonal polynomials. As an application, we show that the discrete model allows to prove and extend the recently found relationship between Chern-Simons theory and q-deformed 2dYM. In addition, the equivalence of the Chern-Simons matrix models gives a complementary view on the equivalence of effective superpotentials in N=1 gauge theories.
17 pages, 6 figures; v2: minor corrections
- Max Planck Society Germany
- Max Planck Institute for Gravitational Physics Germany
- Institut d'Estudis Espacials de Catalunya Spain
- University of Cambridge United Kingdom
- The Open University United Kingdom
High Energy Physics - Theory, 4902 Mathematical Physics, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Mathematical Physics (math-ph), Yang-Mills and other gauge theories in quantum field theory, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, 49 Mathematical Sciences, 5106 Nuclear and Plasma Physics, 51 Physical Sciences, Mathematical Physics
High Energy Physics - Theory, 4902 Mathematical Physics, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Mathematical Physics (math-ph), Yang-Mills and other gauge theories in quantum field theory, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, 49 Mathematical Sciences, 5106 Nuclear and Plasma Physics, 51 Physical Sciences, Mathematical Physics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).22 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!