Relations between the SU(2|4) Symmetric Theories and the Gauge Gravity Correspondence(Spacetime and Matrix model,NONCOMMUTATIVE GEOMETRY AND QUANTUM SPACETIME IN PHYSICS)

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概要

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• We study theories with 577(2|4) symmetry, which include N=4 SYM on R×S^3/Z_k, 2+1 SYM on R×S^2 and the plane wave matrix model. All these theories possess many vacua. From Lin-Maldacena's method which gives the gravity dual of each vacuum, it is suggested that the theory around each vacuum of N=4 SYM on R×S^3/Z_k and 2+1 SYM on R×S^2 is equivalent to the theory around a certain vacuum of the plane wave matrix model. We show this directly on the gauge theory side. We realize theories around multi-monopole backgrounds in matrix model, and extend Taylor's matrix T-duality to that on spheres.

• 2008-03-07

著者

• TSUCHIYA Asato

  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)
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