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On Chiral Quantum Superspaces

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Supersymmetry in Mathematics and Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2027))

Abstract

We give a quantum deformation of the chiral Minkowski superspace in 4 dimensions embedded as the big cell into the chiral conformal superspace. Both deformations are realized as quantum homogeneous superspaces: we deform the ring of regular functions together with a coaction of the corresponding quantum supergroup.

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Acknowledgements

The authors wish to thank the UCLA Department of Mathematics for the wonderful hospitality during the workshop, that made the present work possible. The authors wish also to thank Prof. V. S. Varadarajan for the many helpful discussions on supergeometry and supergroups.

Author information

Authors and Affiliations

  1. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Circuito Exterior, México, DF, 04510, México

    D. Cervantes

  2. Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato, 5, 40126, Bologna, Italy

    R. Fioresi

  3. Departamento de Física Teòrica, Universitat de València and IFIC (CSIC-UVEG), Fundació General Universitat de València, C/Dr. Moliner, 50, 46100, Burjassot(València), Spain

    M. A. Lledó

Authors
  1. D. Cervantes
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  2. R. Fioresi
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  3. M. A. Lledó
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Corresponding author

Correspondence to M. A. Lledó .

Editor information

Editors and Affiliations

  1. Dépt. Physique, Div. Théorie, CERN, Genève, 1211, Switzerland

    Sergio Ferrara

  2. Department of Mathematics, University of Bologna, Piazza Porta San Donato 5, Bologna, 40126, Italy

    Rita Fioresi

  3. Department of Mathematics, UCLA, 520 Portola Plaza, Los Angeles, 90095, California, USA

    V.S. Varadarajan

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Cervantes, D., Fioresi, R., Lledó, M.A. (2011). On Chiral Quantum Superspaces. In: Ferrara, S., Fioresi, R., Varadarajan, V. (eds) Supersymmetry in Mathematics and Physics. Lecture Notes in Mathematics(), vol 2027. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21744-9_4

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