2004/10/31 by Yoshishige Kobayashi, YOSHISHIGE KOBAYASHI, Shin Sasaki +1 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Lorentz covariance #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Quantum field theory #String theory #Supersymmetry #Supersymmetry algebra #Twist #hep-th
paper · pdf · doi:10.1142/s0217751x05022421
published as Int.J.Mod.Phys. A20 (2005) 7175-7188 · 15 pages, LaTeX. v3:One section added, typos corrected, to appear in Int. J. Mod. Phys. A
arxiv created 2005/03/07 · openalex publication_date 2005/12/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, using a Hopf-algebraic method, we construct deformed Poincaré SUSY algebra in terms of twisted (Hopf) algebra. By adapting this twist deformed super-Poincaré algebra as our fundamental symmetry, we can see the consistency between the algebra and non(anti)commutative relation among (super)coordinates and interpret that symmetry of non(anti)commutative QFT is in fact twisted one. The key point is validity of our new twist element that guarantees non(anti)commutativity of space. It is checked in this paper for [Formula: see text] case. We also comment on the possibility of noncommutative central charge coordinate. Finally, because our twist operation does not break the original algebra, we can claim that (twisted) SUSY is not broken in contrast to the string inspired [Formula: see text] SUSY in [Formula: see text] non(anti)commutative superspace.