On Relationships among Chern-Simons Theory, BF Theory and Matrix Model(Particles and Fields)

スポンサーリンク

概要

• 論文の詳細を見る

• Chern-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.

• 理論物理学刊行会の論文
• 2008-05-25

著者

• TSUCHIYA Asato

  Department of Physics, Graduate School of Science, Osaka University

• Ohta Kazutoshi

  High Energy Theory Group Department Of Physics Tohoku University

• Ishii Takaaki

  Department Of Physics Graduate School Of Science Osaka University

• ISHIKI Goro

  Department of Physics, Graduate School of Science, Osaka University

• SHIMASAKI Shinji

  Department of Physics, Graduate School of Science, Osaka University

• Tsuchiya Asato

  Department Of Physics Graduate School Of Science Osaka University

関連論文

• Relations between the SU(2|4) Symmetric Theories and the Gauge Gravity Correspondence(Spacetime and Matrix model,NONCOMMUTATIVE GEOMETRY AND QUANTUM SPACETIME IN PHYSICS)
• Born-Infeld Action from Supergravity
• On Relationships among Chern-Simons Theory, BF Theory and Matrix Model(Particles and Fields)
• The effect of polyamines and propamocarb on the growth and yield of tomato (Lycopersicon esculentum Mill.) plants grown in a low P tropical soil inoculated with a vesicular-arbuscular mycorrhizal fungus
• A Mechanical Model of Molecular Motors with Load Dependent Transitions(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
• Large N reduction for Chern-Simons theory on S-3
• IIB Matrix Model
• Toward a Supersymmetric Unitary Matrix Formulation of the IIB Matrix Model
• USp(2k) Matrix Model
• USp(2k) Matrix Model : Schwinger-Dyson Equations and Closed-Open String Interactions : Particles and Fields
• Exact Results in N_c = 2 IIB Matrix Model

もっと見る 閉じる

スポンサーリンク