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N = 2 (Local) Conformal Supersymmetry

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Quantum Cosmology - The Supersymmetric Perspective - Vol. 2

Part of the book series: Lecture Notes in Physics ((LNP,volume 804))

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Abstract

In this chapter we will present yet another way of charting SQC. It employs an N = 2 local conformal (time) supersymmetry, which is a subgroup of the 4D spacetime supersymmetry and has been presented within the framework of a superfield description (see Chap. 3 of Vol. I).

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Notes

  1. 1.

    This methodology for the generalization of a local time reparametrization is well known in the formulation of spinning particles and superparticles [18].

  2. 2.

    The reader should note that a whole new set of derivative operators will be required here [5].

  3. 3.

    In fact, the superfield \({\mathtt{N}}\) transforms as a 1D vector field under the local conformal time supersymmetric transformations.

  4. 4.

    \({\mathcal{S}}\) will correspond to the single complex supersymmetric charge of the N = 2 SUSY quantum mechanics.

  5. 5.

    In [8], we have a setup for a real scalar field, two fermions, and one auxiliary field.

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Authors and Affiliations

  1. Depto. Fisica Rua Marquês d’Avila e Bolama, Universidade da Beira Interior, 6200-307, Covilhã, Portugal

    Paulo Vargas Moniz

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  1. Paulo Vargas Moniz
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Correspondence to Paulo Vargas Moniz .

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Moniz, P.V. (2010). N = 2 (Local) Conformal Supersymmetry. In: Quantum Cosmology - The Supersymmetric Perspective - Vol. 2. Lecture Notes in Physics, vol 804. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11570-7_8

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  • DOI: https://doi.org/10.1007/978-3-642-11570-7_8

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