The Segre embedding of the quantum conformal superspace
High Energy Physics - Theory
2017-09-13 v1 Mathematical Physics
math.MP
Quantum Algebra
Rings and Algebras
Abstract
In this paper study the quantum deformation of the superflag Fl(2|0, 2|1,4|1), and its big cell, describing the complex conformal and Minkowski superspaces respectively. In particular, we realize their projective embedding via a generalization to the super world of the Segre map and we use it to construct a quantum deformation of the super line bundle realizing this embedding. This strategy allows us to obtain a description of the quantum coordinate superring of the superflag that is then naturally equipped with a coaction of the quantum complex conformal supergroup SL_q(4|1).
Keywords
Cite
@article{arxiv.1709.03075,
title = {The Segre embedding of the quantum conformal superspace},
author = {R. Fioresi and E. Latini and M. A. Lledo and F. A. Nadal},
journal= {arXiv preprint arXiv:1709.03075},
year = {2017}
}
Comments
63 pages