Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-21
Prog.Theor.Phys.118:83-96,2007
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, LaTeX; typos of published version and references are corrected
Scientific paper
10.1143/PTP.118.83
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}}).
Irisawa Manabu
Kobayashi Yoshishige
Sasaki Shin
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