Rotating membranes in AdS 4 × M 1,1,1

2010/01/26 by Jongwook Kim, Nakwoo Kim, Jung Hun Lee · 1 citation
Chemistry · Physics and Astronomy · #Biochemistry #Black Holes and Theoretical Physics #Chemistry #Cosmology and Gravitation Theories #Membrane #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1007/jhep03(2010)122

published as JHEP 1003:122,2010 · v2. added refs. 20 pages, 1 figure

arxiv created 2010/01/26 · openalex publication_date 2010/03/01 · arxiv updated 2010/04/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

Motivated by the recent progress on gravity duals of supersymmetric Chern-Simons matter theories, we consider classical membrane solutions in AdS₄ x M^1,1,1. In particular, we present several types of exact solutions rotating in the Sasaki-Einstein 7-manifold whose isometry is SU(3)xSU(2)xU(1). We analyze the limiting behavior of macroscopic membranes and discuss how one can identify the dual operators and the implications of our result on their conformal dimensions.

Citations

• 2D Heisenberg model from rotating membrane
• Probe branes dynamics: exact solutions in general backgrounds
• Fuzzy ring from M2-brane giant torus
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Membrane solutions in M-theory
• The dilatation operator of N=4 super Yang–Mills theory and integrability
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

Cited by

• Lessons from giant gravitons on AdS 5 × T 1,1