165 research outputs found
Quantum Deformations of Einstein's Relativistic Symmetries
We shall outline two ways of introducing the modification of Einstein's
relativistic symmetries of special relativity theory - the Poincar\'{e}
symmetries. The most complete way of introducing the modifications is via the
noncocommutative Hopf-algebraic structure describing quantum symmetries. Two
types of quantum relativistic symmetries are described, one with constant
commutator of quantum Minkowski space coordinates
(-deformation) and second with Lie-algebraic structure of
quantum space-time, introducing so-called -deformation. The third
fundamental constant of Nature - fundamental mass or length
- appears naturally in proposed quantum relativistic symmetry scheme. The
deformed Minkowski space is described as the representation space (Hopf-module)
of deformed Poincar\'{e} algebra. Some possible perspectives of
quantum-deformed relativistic symmetries will be outlined.Comment: LaTeX, 8 pages, AIP Proceedings style (included). Submitted to the
Proceedings of Albert Einstein Century International Conference, July 18--22,
2005, Pari
Massive twistor particle with spin generated by Souriau-Wess-Zumino term and its quantization
We present new model of D=4 relativistic massive particle with spin and we
describe its quantization. The model is obtained by an extension of standard
relativistic phase space description of massive spinless particle by adding new
topological Souriau-Wess-Zumino term which depends on spin fourvector variable.
We describe equivalently our model as given by the free two-twistor action with
suitable constraints. An important tool in our derivation is the spin-dependent
twistor shift, which modifies standard Penrose incidence relations. The
quantization of the model provides the wave function with correct mass and spin
eigenvalues.Comment: 1+15 page
Higher Spins from Nonlinear Realizations of
We exhibit surprising relations between higher spin theory and nonlinear
realizations of the supergroup , a minimal superconformal extension
of N=1, 4D supersymmetry with tensorial charges. We construct a realization of
on the coset supermanifold which involves the
tensorial superspace and Goldstone superfields given on it. The
covariant superfield equation encompassing the component ones for all integer
and half-integer massless higher spins amounts to the vanishing of covariant
spinor derivatives of the suitable Goldstone superfields, and, via
Maurer-Cartan equations, to the vanishing of supercurvature in odd
directions of . Aiming at higher spin extension of the
Ogievetsky-Sokatchev formulation of N=1 supergravity, we generalize the notion
of N=1 chirality and construct first examples of invariant superfield actions
involving a non-trivial interaction. Some other potential implications of
in the proposed setting are briefly outlined.Comment: LaTeX, 13 pages. Minor, mostly typographic corrections. Version which
appears in Physics Letters
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