Article

# Finite and infinite symmetries in (2+1)-Dimensional field theory

Center for Theoretical Physics Laboratory for Nuclear Science and Department of Physics Massachusetts Institute of Technology Cambridge, Massachusetts 02139 U.S.A.; Physics Department Boston University 590 Commonwealth Avenue Boston, Massachusetts 02215 U.S.A.

Nuclear Physics B - Proceedings Supplements (Impact Factor: 0.88). 11/1993; DOI: 10.1016/0920-5632(93)90375-G - [Show abstract] [Hide abstract]

**ABSTRACT:**The symmetry algebra of a QFT in the presence of an external EM background (named "residual symmetry") is investigated within a Lie-algebraic, model-independent scheme. Some results previously encountered in the literature are extended here. In particular we compute the symmetry algebra for a constant EM background in D = 3 and D = 4 dimensions. In D = 3 dimensions the residual symmetry algebra, for generic values of the constant EM background, is isomorphic to , with the centrally extended two-dimensional Poincaré algebra. In D = 4 dimension the generic residual symmetry algebra is given by a seven-dimensional solvable Lie algebra which is explicitly computed. Residual symmetry algebras are also computed for specific non-constant EM backgrounds and in the supersymmetric case for a constant EM background. The supersymmetry generators are given by the "square roots" of the deformed translations.Modern Physics Letters A 11/2011; 18(09). · 1.34 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**The Chern-Simons theory in two-space one-time dimensions is quantized on the light-front under appropriate gauge-fixing conditions using the Hamiltonian, path integral and BRST formulations.Physica Scripta 11/2010; 1:385-392. · 1.03 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We study non-relativistic limits of the Script N = 6 Chern-Simons-Matter theory that arises as a low-energy limit of the M2-brane gauge theory with background flux. The model admits several different non-relativistic limits and we find that the maximal supersymmetry we construct has 14 components of supercharges, which is a novel example of non-relativistic superconformal algebra in (1+2) dimension. We also investigate the other limits that realize less supersymmetries.Journal of High Energy Physics 04/2009; 4(04):096-096. · 6.22 Impact Factor

Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.