N=4 Chern-Simons theories and wrapped M-branes in their gravity duals

Abstract

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.

26 pages, 7 figures, v2: typos corrected, references added, v3: improved arguments on gauge variance of baryonic operators and added comments on the duality between wrapped M2-branes and monopole operators, changed title, corrected typos, added a reference, PTPTeX

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• Membranes on an Orbifold
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Cited by in corpus (13)

• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Hanany-Witten effect and SL(2,Z) dualities in matrix models
• Type IIB construction of flavoured ABJ(M) and fractional M2 branes
• ABJM Membrane Instanton from Pole Cancellation Mechanism
• On two pieces of folklore in the AdS/CFT duality
• Twisted Sectors in Gravity Duals of N=4 Chern-Simons Theories
• M2-branes and plane partitions
• Charges and homologies in AdS_4/CFT_3
• Aspects of ABJM orbifolds
• A new large-N limit and the planar equivalence outside the planar limit
• Exact large $N$ expansion of $\mathcal{N}=4$ circular quiver Chern-Simons theories and squashing
• Half-BPS M2-brane orbifolds
• Monopole operators and symmetry enhancement in ABJM theory revisited