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).
Fioresi, R., Latini, E., Lledo, M.A., Nadal, F.A. (2018). The Segre embedding of the quantum conformal superspace. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 22(8), 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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ATMP_22_08_A04.pdf
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