N=4 Chern-Simons Theories and Wrapped M-Branes in Their Gravity Duals(Particles and Fields)
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概要
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We investigate a class of N=4 quiver Chern-Simons theories and their gravity duals. We define the group of fractional D3-brane charges in a type IIB brane setup taking account of D3-brane creation due to the Hanany-Witten effect, and confirm that it agrees with the 3-cycle homology of the dual geometry, which describes the charges of fractional M2-branes, i.e., M5-branes wrapped on 3-cycles. The relation between the fractional brane charge and the torsion of the 3-form potential field is partially established. We also discuss the duality between baryonic operators in the Chern-Simons theories and M5-branes wrapped on 5-cycles in the dual geometries. The degeneracy and the conformal dimension of the operators are reproduced on the gravity side. We also comment on the relation between wrapped M2-branes and monopole operators. The baryonic operators we consider are not gauge-invariant. We argue that gauge invariance cannot be imposed on all the operators corresponding to wrapped M-branes in the AdS_4/CFT_3 correspondence.
- 2009-05-25
著者
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IMAMURA Yosuke
Department of Physics, University of Tokyo
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YOKOYAMA Shuichi
Department of Physics, University of Tokyo
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Imamura Yosuke
Department Of Physics The University Of Tokyo
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Yokoyama Shuichi
Department Of Physics University Of Tokyo
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YOKOYAMA Shuichi
Department of Bioscience, Tokyo University of Agriculture, Tokyo 156-8502, Japan
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