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Title: Chiral and real N=2 supersymmetric ℓ-conformal Galilei algebras

Inequivalent N=2 supersymmetrizations of the ℓ-conformal Galilei algebra in d-spatial dimensions are constructed from the chiral (2, 2) and the real (1, 2, 1) basic supermultiplets of the N=2 supersymmetry. For non-negative integer and half-integer ℓ, both superalgebras admit a consistent truncation with a (different) finite number of generators. The real N=2 case coincides with the superalgebra introduced by Masterov, while the chiral N=2 case is a new superalgebra. We present D-module representations of both superalgebras. Then we investigate the new superalgebra derived from the chiral supermultiplet. It is shown that it admits two types of central extensions, one is found for any d and half-integer ℓ, and the other only for d= 2 and integer ℓ. For each central extension, the centrally extended ℓ-superconformal Galilei algebra is realized in terms of its super-Heisenberg subalgebra generators.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Mathematics and Information Sciences, Graduate School of Science, Osaka Prefecture University, Nakamozu Campus, Sakai, Osaka 599-8351 (Japan)
  2. UFABC, Rua Santa Adélia 166, Bangu, cep 09210-170, Santo André, SP (Brazil)
  3. CBPF, Rua Dr. Xavier Sigaud 150, Urca, cep 22290-180, Rio de Janeiro, RJ (Brazil)
Publication Date:
OSTI Identifier:
22217994
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 9; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; CHIRAL SYMMETRY; CHIRALITY; SUPERMULTIPLETS; SUPERSYMMETRY