Details
| Original language | English |
|---|---|
| Article number | 129 |
| Journal | Journal of high energy physics |
| Volume | 2010 |
| Issue number | 4 |
| Publication status | Published - 2010 |
Abstract
We elaborate on a novel superconformal mechanics model possessing D(2, 1; α) symmetry and involving extra U(2) spin variables. It is the one-particle case of the N=4 superconformal matrix model recently proposed in arXiv:0812.4276 [hep-th], and it generalizes to arbitrary α≠=0 the OSp(4|2) superconformal mechanics of arXiv:0905.4951 [hep-th]. As in the latter case, the U(2) spin variables are described by a Wess-Zumino action and define the first Hopf map S 3 → S 2 in the target space. Upon quantization, they represent a fuzzy sphere. We find the classical and quantum generators of the D(2, 1; α) superalgebra and their realization on the physical states. The super wavefunction encompasses various multiplets of the SU(2) R and SU(2) L subgroups of D(2, 1; α), with fixed isospins. The conformal potential is determined by the external magnetic field in the Wess-Zumino term, whose strength is quantized like in the OSp(4|2) case. As a byproduct, we reveal new invariant subspaces in the enveloping algebra of D(2, 1; α) for our quantum realization.
Keywords
- Black holes, Extended supersymmetry, Superspaces
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2010, No. 4, 129, 2010.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - New D(2, 1;α) mechanics with spin variables
AU - Fedoruk, S.
AU - Ivanov, E.
AU - Lechtenfeld, O.
N1 - Copyright: Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2010
Y1 - 2010
N2 - We elaborate on a novel superconformal mechanics model possessing D(2, 1; α) symmetry and involving extra U(2) spin variables. It is the one-particle case of the N=4 superconformal matrix model recently proposed in arXiv:0812.4276 [hep-th], and it generalizes to arbitrary α≠=0 the OSp(4|2) superconformal mechanics of arXiv:0905.4951 [hep-th]. As in the latter case, the U(2) spin variables are described by a Wess-Zumino action and define the first Hopf map S 3 → S 2 in the target space. Upon quantization, they represent a fuzzy sphere. We find the classical and quantum generators of the D(2, 1; α) superalgebra and their realization on the physical states. The super wavefunction encompasses various multiplets of the SU(2) R and SU(2) L subgroups of D(2, 1; α), with fixed isospins. The conformal potential is determined by the external magnetic field in the Wess-Zumino term, whose strength is quantized like in the OSp(4|2) case. As a byproduct, we reveal new invariant subspaces in the enveloping algebra of D(2, 1; α) for our quantum realization.
AB - We elaborate on a novel superconformal mechanics model possessing D(2, 1; α) symmetry and involving extra U(2) spin variables. It is the one-particle case of the N=4 superconformal matrix model recently proposed in arXiv:0812.4276 [hep-th], and it generalizes to arbitrary α≠=0 the OSp(4|2) superconformal mechanics of arXiv:0905.4951 [hep-th]. As in the latter case, the U(2) spin variables are described by a Wess-Zumino action and define the first Hopf map S 3 → S 2 in the target space. Upon quantization, they represent a fuzzy sphere. We find the classical and quantum generators of the D(2, 1; α) superalgebra and their realization on the physical states. The super wavefunction encompasses various multiplets of the SU(2) R and SU(2) L subgroups of D(2, 1; α), with fixed isospins. The conformal potential is determined by the external magnetic field in the Wess-Zumino term, whose strength is quantized like in the OSp(4|2) case. As a byproduct, we reveal new invariant subspaces in the enveloping algebra of D(2, 1; α) for our quantum realization.
KW - Black holes
KW - Extended supersymmetry
KW - Superspaces
UR - http://www.scopus.com/inward/record.url?scp=77954905788&partnerID=8YFLogxK
U2 - 10.1007/JHEP04(2010)129
DO - 10.1007/JHEP04(2010)129
M3 - Article
AN - SCOPUS:77954905788
VL - 2010
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 4
M1 - 129
ER -