Galilean conformal and superconformal symmetries

Journal Article · Mon Oct 15 00:00:00 EDT 2012 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778812100134· OSTI ID:22069325

Lukierski, J ^[1]

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1. University of Wroclaw, Institute for Theoretical Physics (Poland)

Firstly we discuss briefly three different algebras named as nonrelativistic (NR) conformal: Schroedinger, Galilean conformal, and infinite algebra of local NR conformal isometries. Further we shall consider in some detail Galilean conformal algebra (GCA) obtained in the limit c{yields}{infinity} from relativistic conformal algebraO(d+1, 2) (d-number of space dimensions). Two different contraction limits providing GCA and some recently considered realizations will be briefly discussed. Finally by considering NR contraction of D = 4 superconformal algebra the Galilei conformal superalgebra (GCSA) is obtained, in the formulation using complexWeyl supercharges.

• OSTI ID: 22069325
• Journal Information: Physics of Atomic Nuclei, Vol. 75, Issue 10; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ALGEBRA
CONFORMAL INVARIANCE
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
SPACE
SYMMETRY
WEYL UNIFIED THEORY