On relationships among Chern-Simons theory, BF theory and matrix model

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dc.creatorIshii, Takaaki
dc.creatorIshiki, Goro
dc.creatorOhta, Kazutoshi
dc.creatorShimasaki, Shinji
dc.creatorTsuchiya, Asato
dc.date2007-11-27
dc.date2008-05-30
dc.date.accessioned2026-07-07T11:38:56Z
dc.date.available2026-07-07T11:38:56Z
dc.descriptionChern-Simons theory on a U(1) bundle over a Riemann surface Σ_g of genus g is dimensionally reduced to BF theory with a mass term, which is equivalent to the two-dimensional Yang-Mills on Σ_g. We show that the former is inversely obtained from the latter by the extended matrix T-duality developed in hep-th/0703021. For the case of g=0 (i.e. S^2), the U(1) bundle represents the lens space S^3/Z_p. We find that in this case both the Chern-Simons theory and the BF theory with the mass term are realized in a matrix model. We also construct Wilson loops in the matrix model that correspond to those in the Chern-Simons theory on S^3.
dc.description20 pages, references added, typos corrected
dc.identifierhttps://arxiv.org/abs/0711.4235
dc.identifierhttp://arxiv.org/abs/0711.4235
dc.identifierProg.Theor.Phys.119:863-882,2008
dc.identifierdoi:10.1143/PTP.119.863
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199745
dc.subjectHigh Energy Physics - Theory
dc.titleOn relationships among Chern-Simons theory, BF theory and matrix model
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