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arXiv · 1709.03075

The Segre embedding of the quantum conformal superspace

R. Fioresi·E. Latini·M. A. Lledo·F. A. Nadal
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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).

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R. Fioresi, E. Latini, M. A. Lledo, F. A. Nadal. 2017-09-10. The Segre embedding of the quantum conformal superspace. https://arxiv.org/abs/1709.03075

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