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.
Nuclear Physics B - Proceedings Supplements (Impact Factor: 0.88). 11/1993; 33(3):104-113. DOI: 10.1016/0920-5632(93)90375-G

ABSTRACT We describe the role of SO(2,1) conformal symmetry in non-relativistic Chern-Simons theory and in effective field theories for the eikonal regime: how the symmetry acts, how it controls the nature of solutions, how it expands to an infinite group on the manifold of static solutions thereby rendering the static problem completly integrable.

0 Followers
 · 
45 Views
  • Source
    [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. DOI:10.1088/1126-6708/2009/04/096 · 6.22 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: The Hamiltonian, path integral, and BRST formulations of the Chern-Simons theory in two-space one-time dimensions are investigated under appropriate gauge-fixing conditions.PACS Nos.: 11.10.Ef, 11.10.Kk, 12.20.DsNous étudions sous conditions de jauge appropriées les formulations de Hamilton, d'intégrales de chemin, ainsi que BRST de la théorie de Chern-Simon en 2+1 dimensions (espace-temps).[Traduit par la Rédaction]
    Canadian Journal of Physics 01/2008; 86(2):401-407. DOI:10.1088/0031-8949/82/05/055101 · 0.93 Impact Factor
  • Source
    [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). DOI:10.1142/S0217732303009605 · 1.34 Impact Factor

Preview (2 Sources)

Download
0 Downloads
Available from