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

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.

Original languageEnglish
Article number54
JournalJournal of High Energy Physics
Volume2017
Issue number3
DOIs
Publication statusPublished - 1 Mar 2017

Fingerprint

symmetry
subgroups
horizon

Keywords

  • Black Holes
  • Conformal and W Symmetry
  • Extended Supersymmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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

In: Journal of High Energy Physics, Vol. 2017, No. 3, 54, 01.03.2017.

Research output: Contribution to journalArticle

@article{26a0b22f90b7459c9aaead4f19738252,
title = "Couplings in D(2, 1; α) superconformal mechanics from the SU(2) perspective",
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-Nordstr{\"o}m-AdS-dS black hole in four and five dimensions is considered. The parameter α is linked to the cosmological constant.",
keywords = "Black Holes, Conformal and W Symmetry, Extended Supersymmetry",
author = "Anton Galajinsky",
year = "2017",
month = "3",
day = "1",
doi = "10.1007/JHEP03(2017)054",
language = "English",
volume = "2017",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "3",

}

TY - JOUR

T1 - Couplings in D(2, 1; α) superconformal mechanics from the SU(2) perspective

AU - Galajinsky, Anton

PY - 2017/3/1

Y1 - 2017/3/1

N2 - 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.

AB - 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.

KW - Black Holes

KW - Conformal and W Symmetry

KW - Extended Supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=85014936988&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85014936988&partnerID=8YFLogxK

U2 - 10.1007/JHEP03(2017)054

DO - 10.1007/JHEP03(2017)054

M3 - Article

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 3

M1 - 54

ER -