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arxiv: 0911.4324 · v2 · submitted 2009-11-23 · ✦ hep-th

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Quantum corrections to N=2 Chern-Simons theories with flavor and their AdS4 duals

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classification ✦ hep-th
keywords theoriesbranesads4chern-simonsflavorscalabi-yauchargeschern-simons-matter
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We add fundamental flavors to N=2 Chern-Simons-matter theories living on M2 branes probing a Calabi-Yau four-fold singularity. This is dual, in the 't Hooft limit described by IIA string theory, to the introduction of supersymmetric D6 branes wrapping AdS4 and a 3-cycle of the internal manifold. The resulting Chern-Simons theories remain conformally invariant, corresponding to the fact that the D6 branes lift to pure geometry in M-theory. The determination of the moduli space relies crucially on the 1-loop contributions to charges and OPE's of monopole operators in these field theories. The general picture is determined for non-chiral and chiral flavors, and is illustrated in several examples.

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Cited by 1 Pith paper

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  1. $S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves

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    Derives Airy representation for S^3 partition functions in M2-brane theories that exactly matches equivariant topological string predictions and proposes a new CY4 to C x CY3 correspondence via quantum curves.