Drinfel'd Twisted Superconformal Algebra and Structure of Unbroken Symmetries

Abstract

We investigate deformed superconformal symmetries on non(anti)commutative (super)spaces from the point of view of the Drinfel'd twisted symmetries. We classify all possible twist elements derived from an abelian subsector of the superconformal algebra. The symmetry breaking caused by the non(anti)commutativity of the (super)spaces is naturally interpreted as the modification of their coproduct emerging from the corresponding twist element. The remaining unbroken symmetries are determined by the commutative properties of those symmetry generators possessing the twist element. We also comment on non-canonically deformed non(anti)commutative superspaces, particularly those derived from the superconformal twist element (\mathcal{F}_{\mathrm{SS}}).

arXiv comment13 pages, LaTeX; typos of published version and references are corrected

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• $C{P}^{(N-1)}$ model in aether-superspace
• Twisted SUSY: twisted symmetry versus renormalizability
• Global Space-Time Symmetries of Quantized Euclidean and Minkowski Superspaces
• Twisted Supersymmetry in a Deformed Wess-Zumino Model in (2+1) Dimensions
• A relation between deformed superspace and Lee-Wick higher-derivative theories
• N=1/2 Global SUSY: R-Matrix Approach
• Nonperturbative deformation of D-brane states by the world sheet noncommutativity