M2-brane Flows and the Chern-Simons Level
arXiv:0902.0290 · doi:10.1088/1126-6708/2009/05/114
Abstract
The Chern-Simons level k of ABJM gauge theory captures the orbifolding in the dual geometry. This suggests that if we move the membranes away from the tip of the orbifold to a smooth point, it should trigger an RG flow that changes the level to k=1 in the IR. We construct an explicit supergravity solution that is dual to this shift from generic k to k=1. In the gauge theory side, we present arguments for why this shift is plausible at the end of the RG flow. We also consider a resolution of the orbifold for the case k=4 (where explicit metrics can be found), and construct the smooth supergravity solution that interpolates between AdS4 X S7/Z4 and AdS4 X S7, corresponding to localized branes on the blown up six cycle. In the gauge theory, we make some comments about the dimension four operator dual to the resolution as well as the associated RG flow.
v4: figure with typo replaced, clarifications added. 35 pp
References in corpus (34)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Modeling Multiple M2's
- Fractional M2-branes
- Green-Schwarz action for Type IIA strings on
- The Bethe ansatz for superconformal Chern-Simons
- M2 to D2
- The all loop AdS4/CFT3 Bethe ansatz
- Membranes on an Orbifold
- Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
- Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
- Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
- Three-dimensional N=6 SCFT's and their membrane dynamics
- Spinning strings at one-loop in AdS_4 x P^3
- The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
- AdS_4/CFT_3 -- Squashed, Stretched and Warped
- Integrable Spin Chain in Superconformal Chern-Simons Theory
- Multiple M2-branes and Generalized 3-Lie algebras
- Gauge/Gravity Duality and Warped Resolved Conifold
- Towards M2-brane Theories for Generic Toric Singularities
- An N=1 Superfield Action for M2 branes
- Lectures on complex geometry, Calabi-Yau manifolds and toric geometry
- Membranes on Calibrations
- Toric Calabi-Yau four-folds dual to Chern-Simons-matter theories
- M2-Branes and Quiver Chern-Simons: A Taxonomic Study
- A note on Quantum Aspects of Multiple Membranes
- Toric geometry and local Calabi-Yau varieties: An introduction to toric geometry (for physicists)
- Octonions, G_2 and generalized Lie 3-algebras
- Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM
- 3-Branes on Eguchi-Hanson 6D Instantons
- A New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory
- SU(N) membrane theory with dual-pairs
- Fractional two-branes, toric orbifolds and the quantum McKay correspondence