TY  - JOUR
AU  - Fioresi, R.
AU  - Lledo, M. A.
PY  - 2021
DA  - 2021//
TI  - Quantum Supertwistors
T2  - Symmetry-Basel
JO  - Symmetry-Basel
SP  - 1241
EP  - 16pp
VL  - 13
IS  - 7
PB  - Mdpi
KW  - star products
KW  - superspace
KW  - non-commutative spacetime
KW  - quantum groups
KW  - quantum supergroups
AB  - In this paper, we give an explicit expression for a star product on the super-Minkowski space written in the supertwistor formalism. The big cell of the super-Grassmannian Gr(2|0,4|1) is identified with the chiral, super-Minkowski space. The super-Grassmannian is a homogeneous space under the action of the complexification SL(4|1) of SU(2,2|1), the superconformal group in dimension 4, signature (1,3), and supersymmetry N=1. The quantization is done by substituting the groups and homogeneous spaces by their quantum deformed counterparts. The calculations are done in Manin's formalism. When we restrict to the big cell, we can explicitly compute an expression for the super-star product in the Minkowski superspace associated to this deformation and the choice of a certain basis of monomials.
UR  - https://arxiv.org/abs/2105.12670
UR  - https://doi.org/10.3390/sym13071241
DO  - 10.3390/sym13071241
LA  - English
N1  - WOS:000677165600001
ID  - Fioresi+Lledo2021
ER  -