6533b834fe1ef96bd129d852
RESEARCH PRODUCT
The Segre embedding of the quantum conformal superspace
M. A. LledoF. A. NadalRita FioresiEmanuele Latinisubject
High Energy Physics - TheoryPhysicsPure mathematicsQuantum geometryGeneral MathematicsFOS: Physical sciencesGeneral Physics and AstronomyConformal mapMathematical Physics (math-ph)Mathematics - Rings and AlgebrasSuperspaceSegre embeddingHigh Energy Physics - Theory (hep-th)Line bundleRings and Algebras (math.RA)Mathematics - Quantum AlgebraMinkowski spacequantum geometryFOS: MathematicsQuantum Algebra (math.QA)EmbeddingQuantumMathematical Physicsdescription
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).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-01-01 |