In this paper we study the quantum deformation of the super flag Fl(2j0; 2j1; 4j1), 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 super flag that is then naturally equipped with a coaction of the quantum complex conformal supergroup SLq(4j1).
The Segre embedding of the quantum conformal superspace / Fioresi R.; Latini E.; Lledo M.A.; Nadal F.A.. - In: ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 1095-0761. - STAMPA. - 22:8(2018), pp. 1939-2000. [10.4310/ATMP.2018.v22.n8.a4]
The Segre embedding of the quantum conformal superspace
Fioresi R.;Latini E.;
2018
Abstract
In this paper we study the quantum deformation of the super flag Fl(2j0; 2j1; 4j1), 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 super flag that is then naturally equipped with a coaction of the quantum complex conformal supergroup SLq(4j1).File | Dimensione | Formato | |
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