@Article{Fioresi+Lledo2021,
author="Fioresi, R.
and Lledo, M. A.",
title="Quantum Supertwistors",
journal="Symmetry-Basel",
year="2021",
publisher="Mdpi",
volume="13",
number="7",
pages="1241--16pp",
optkeywords="star products; superspace; non-commutative spacetime; quantum groups; quantum supergroups",
abstract="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{\textquoteright}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.",
optnote="WOS:000677165600001",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4909), last updated on Wed, 11 Aug 2021 09:02:36 +0000",
doi="10.3390/sym13071241",
opturl="https://arxiv.org/abs/2105.12670",
opturl="https://doi.org/10.3390/sym13071241",
language="English"
}