Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory

2008/12/09 by Jong-Hyun Baek, Seungjoon Hyun, Baek, Jong-Hyun +5
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Chern–Simons theory #Computation #Effective action #FOS: Physical sciences #Gauge theory #High Energy Physics - Theory (hep-th) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Supergravity #Superspace #Supersymmetry #hep-th

paper · pdf · doi:10.48550/arxiv.0812.1772

23+1 pages, no figure, v2: typos corrected, references added

openalex publication_date 2008/12/09 · arxiv created 2008/12/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the membrane scattering in the three-dimensional N=6 supersymmetric Chern-Simons theory recently constructed by Aharony, Bergman, Jafferis and Maldacena and conjectured to be dual to M-theory on AdS₄ × S⁷/Z_k. We compute the one-loop effective action up to the v⁴ terms in the derivative expansion and find exact agreement with the results from the supergravity computations. In particular, our results imply that the v² term is not renormalized and tree-level exact.

Citations

• Comment on the scaling function inAdS4× ℂℙ3
• Gauge Dynamics And Compactification To Three Dimensions
• D2 or M2? A Note on Membrane Scattering
• Spinning strings at one-loop in AdS4× ℙ3
• Gauge symmetry and supersymmetry of multiple M2-branes
• 3dN=8Lorentzian Bagger-Lambert-Gustavsson theory as a scaling limit of 3d superconformalN=6Aharony-Bergman-Jafferis-Maldacena theory

Related

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• Chern-Simons Perturbation Theory
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