Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-12-07
Prog.Theor.Phys.121:915-940,2009
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 7 figures, v2: typos corrected, references added, v3: improved arguments on gauge variance of baryonic operators and
Scientific paper
10.1143/PTP.121.915
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 with taking account of D3-brane creation due to 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, M5-branes wrapped on 3-cycles. The relation between the fractional brane charge and the torsion of the three-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 the gauge invariance cannot be imposed on all the operators corresponding to wrapped M-branes in AdS4/CFT3 correspondence.
Imamura Yosuke
Yokoyama Shuichi
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