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Differential geometry of the quantum supergroupGL q (1/1)

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Zeitschrift für Physik C Particles and Fields

Abstract

We construct a right-invariant differential calculus on the quantum supergroupGL q (1/1) and we show that the quantum Lie algebra generators satisfy the undeformed Lie superalgebra. The deformation becomes apparent when one studies the comultiplication for these generators. We bring the algebra into the standard Drinfeld-Jimbo form by performing a suitable change of variables, and we check the consistency of the map with the induced comultiplication.

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Authors and Affiliations

  1. Lawrence Berkeley Laboratory and Department of Physics, University of California, 94720, Berkeley, CA, USA

    W. B. Schmidke, S. P. Vokos & B. Zumino

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  1. W. B. Schmidke
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  2. S. P. Vokos
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  3. B. Zumino
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Additional information

This work was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098 and in part by the National Science Foundation under grant PHY85-15857

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Schmidke, W.B., Vokos, S.P. & Zumino, B. Differential geometry of the quantum supergroupGL q (1/1). Z. Phys. C - Particles and Fields 48, 249–255 (1990). https://doi.org/10.1007/BF01554473

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  • DOI: https://doi.org/10.1007/BF01554473

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