Constraints and Casimirs for Super POINCARÉ and Supertranslation Algebras in Various Dimensions

Details Constraints and Casimirs for Super POINCARÉ and Supertranslation Algebras in Various Dimensions Constraints and Casimirs for Super POINCARÉ and Supertranslation Algebras in Various Dimensions

Aug 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005pasc.conf..285z&link_type=abstract

PASCOS 2004 Part I: Particles, Strings and Cosmology* Part II: Themes in Unification -- The Pran Nath Festschrift†. *,†Proceedin

Physics

Scientific paper

We describe, for arbitrary dimensions the construction of a covariant and supersymmetric constraint for the massless super Poincaré algebra and we show that the constraint fixes uniquely the representation of the algebra. For the case of finite mass and in the absence of central charges we discuss a similar construction, which generalizes to arbitrary dimensions the concept of the superspin Casimir. Finally we discuss briefly the modifications introduced by central charges, both scalar and tensorial.

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