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 language | English |
|---|---|
| Article number | 54 |
| Journal | Journal of High Energy Physics |
| Volume | 2017 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Mar 2017 |
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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 journal › Article
}
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 -