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Couplings in D(2, 1; α) superconformal mechanics from the SU(2) perspective

  • Anton GalajinskyEmail author
Open Access
Regular Article - Theoretical Physics

Abstract

Dynamical realizations of the most general N = 4 superconformal group in one dimension D(2, 1; α) are reconsidered from the perspective of the R-symmetry subgroup SU(2). It is shown that any realization of the R-symmetry subalgebra in some phase space can be extended to a representation of the Lie superalgebra corresponding to D(2, 1; α). Novel couplings of arbitrary number of supermultiplets of the type (1, 4, 3) and (0, 4, 4) to a single supermultiplet of either the type (3, 4, 1), or (4, 4, 0) are constructed. D(2, 1; α) superconformal mechanics describing superparticles propagating near the horizon of the extreme Reissner-Nordström-AdS-dS black hole in four and five dimensions is considered. The parameter α is linked to the cosmological constant.

Keywords

Conformal and W Symmetry Extended Supersymmetry Black Holes 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2017

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Laboratory of Mathematical PhysicsTomsk Polytechnic UniversityTomskRussian Federation

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