Scattering in Mass-Deformed N>=4 Chern-Simons Models
نویسندگان
چکیده
We investigate the scattering matrix in mass-deformed N ≥ 4 Chern– Simons models including as special cases the BLG and ABJM theories of multiple M2 branes. Curiously the structure of this scattering matrix in three spacetime dimensions is equivalent to (a) the two-dimensional worldsheet matrix found in the context of AdS/CFT integrability and (b) the R-matrix of the one-dimensional Hubbard model. The underlying reason is that all three models are based on an extension of the psu(2|2) superalgebra which constrains the matrix completely. We also compute scattering amplitudes in one-loop field theory and find perfect agreement with scattering unitarity. ar X iv :0 81 2. 33 67 v2 [ he pth ] 3 0 Ja n 20 09
منابع مشابه
Yangian-invariant scattering amplitudes in supersymmetric Chern-Simons theory.
We propose a generating function for scattering amplitudes of N=6 supersymmetric-Chern-Simons theory, which parallels a recent work on N=4 supersymmetric-Yang-Mills theory by Arkani-Hamed et al. Our result suggests that the scattering amplitudes of the supersymmetric-Chern-Simons theory exhibit Yangian invariance.
متن کاملRefined Chern-Simons versus Vogel universality
Abstract We study the relation between the partition function of refined SU(N) and SO(2N) Chern-Simons on the 3-sphere and the universal Chern-Simons partition function in the sense of Mkrtchyan and Veselov. We find a four-parameter generalization of the integral representation of universal Chern-Simons that includes refined SU(N) and SO(2N) Chern-Simons for special values of parameters. The la...
متن کاملBPS Vortices in Non-relativistic M2-brane Chern-Simons-matter Theory
We study BPS vortices in the mass-deformed non-relativistic N = 6 U(N)k × U(N)−k Chern-Simons-matter theory. We focus on the massive deformation that preserves the maximal N = 6 supersymmetry, and consider a non-relativistic limit that carry 14 supercharges. In this non-relativistic field theory we find Jackiw-Pi type exact vortex solutions combined with S3 fuzzy sphere geometry. We analyse the...
متن کاملPerturbative Chern - Simons Theory on Noncommutative R 3
A U(N) Chern-Simons theory on noncommutative R3 is constructed as a θ-deformed field theory. The model is characterized by two symmetries: the BRST-symmetry and the topological linear vector supersymmetry. It is shown that the theory is finite and θμν -independent at the one loop level and that the calculations respect the restriction of the topological supersymmetry. Thus the topological θ-def...
متن کاملVortices, Q-balls and Domain Walls on Dielectric M2-branes
We study BPS solitons in N = 6 U(N)×U(N) Chern-Simons-matter theory deformed by an F-term mass. The F-term mass generically breaks N = 6 supersymmetry down to N = 2. At vacua, M2-branes are polarized into a fuzzy S3 forming a spherical M5-brane with topology R1,2×S3. The polarization is interpreted as Myers’ dielectric effect caused by an anti-self-dual 4-form flux T4 in the eleven-dimensional ...
متن کامل