Nonrelativistic Superconformal M2-Brane Theory
arXiv:0902.3857 · doi:10.1088/1126-6708/2009/09/030
Abstract
We investigate the low energy physics of particles in the symmetric phase of the N=6 mass-deformed ABJM theory in terms of the superconformal nonrelativistic field theory with 14 supercharges. They describe the certain kind of excitations on M2 branes in the background of external four-form flux. We study the nonrelativistic superconformal algebra and their representations by using the operator-state correspondence with the related harmonic oscillator Hamiltonian. We find the unitarity bounds on the scaling dimension and particle number of any local operator, and comment on subtleties in computing the superconformal Witten index that counts the chiral operators.
34 pages, 1 figure, latex, some minor corrections, remarks on flux-charge composite operators, bps bound changed, charge-flux operator reargued
References in corpus (16)
- 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
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Nonrelativistic conformal field theories
- Galilean Conformal Algebras and AdS/CFT
- Superconformal Indices for Chern Simons Theories
- A Massive Study of M2-brane Proposals
- Families of IIB duals for nonrelativistic CFTs
- Mass-Deformed Bagger-Lambert Theory and its BPS Objects
- Scattering in Mass-Deformed N>=4 Chern-Simons Models
- Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
- Superconformal Indices for Orbifold Chern-Simons Theories
- A family of super Schrodinger invariant Chern-Simons matter systems