Abstract
We use the manifestly N=2 supersymmetric, off-shell, harmonic (or twistor) superspace approach to solve the constraints implied by four-dimensional N=2 superconformal symmetry on the N=2 non-linear sigma-model target space, known as the special hyper-Kähler geometry. Our general solution is formulated in terms of a homogeneous (of degree two) function of unconstrained (analytic) Fayet-Sohnius hypermultiplet superfields. We also derive the improved (N=2 superconformal) actions for the off-shell (constrained) N=2 projective hypermultiplets, and relate them (via non-conformal deformations) to the asymptotically locally-flat (ALF) Ak and Dk series of the gravitational instantons. The same metrics describe Kaluza-Klein monopoles in M-theory, while they also arise in the quantum moduli spaces of N=4 supersymmetric gauge field theories with SU(2) gauge group and matter hypermultiplets in three spacetime dimensions. We comment on rotational isometries versus translational isometries in the context of N=2 NLSM in terms of projective hypermultiplets.
| Original language | English |
|---|---|
| Pages (from-to) | 95-118 |
| Number of pages | 24 |
| Journal | Nuclear Physics B |
| Volume | 582 |
| Issue number | 1-3 |
| DOIs | |
| Publication status | Published - 28 Aug 2000 |
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Keywords
- 11.10.Lm
- 11.15.Tk
- 11.30.Pb
- 12.60.Jv
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Superconformal hypermultiplets in superspace. / Ketov, Sergei V.
In: Nuclear Physics B, Vol. 582, No. 1-3, 28.08.2000, p. 95-118.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Superconformal hypermultiplets in superspace
AU - Ketov, Sergei V.
PY - 2000/8/28
Y1 - 2000/8/28
N2 - We use the manifestly N=2 supersymmetric, off-shell, harmonic (or twistor) superspace approach to solve the constraints implied by four-dimensional N=2 superconformal symmetry on the N=2 non-linear sigma-model target space, known as the special hyper-Kähler geometry. Our general solution is formulated in terms of a homogeneous (of degree two) function of unconstrained (analytic) Fayet-Sohnius hypermultiplet superfields. We also derive the improved (N=2 superconformal) actions for the off-shell (constrained) N=2 projective hypermultiplets, and relate them (via non-conformal deformations) to the asymptotically locally-flat (ALF) Ak and Dk series of the gravitational instantons. The same metrics describe Kaluza-Klein monopoles in M-theory, while they also arise in the quantum moduli spaces of N=4 supersymmetric gauge field theories with SU(2) gauge group and matter hypermultiplets in three spacetime dimensions. We comment on rotational isometries versus translational isometries in the context of N=2 NLSM in terms of projective hypermultiplets.
AB - We use the manifestly N=2 supersymmetric, off-shell, harmonic (or twistor) superspace approach to solve the constraints implied by four-dimensional N=2 superconformal symmetry on the N=2 non-linear sigma-model target space, known as the special hyper-Kähler geometry. Our general solution is formulated in terms of a homogeneous (of degree two) function of unconstrained (analytic) Fayet-Sohnius hypermultiplet superfields. We also derive the improved (N=2 superconformal) actions for the off-shell (constrained) N=2 projective hypermultiplets, and relate them (via non-conformal deformations) to the asymptotically locally-flat (ALF) Ak and Dk series of the gravitational instantons. The same metrics describe Kaluza-Klein monopoles in M-theory, while they also arise in the quantum moduli spaces of N=4 supersymmetric gauge field theories with SU(2) gauge group and matter hypermultiplets in three spacetime dimensions. We comment on rotational isometries versus translational isometries in the context of N=2 NLSM in terms of projective hypermultiplets.
KW - 11.10.Lm
KW - 11.15.Tk
KW - 11.30.Pb
KW - 12.60.Jv
UR - http://www.scopus.com/inward/record.url?scp=0034726219&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034726219&partnerID=8YFLogxK
U2 - 10.1016/S0550-3213(00)00252-2
DO - 10.1016/S0550-3213(00)00252-2
M3 - Article
VL - 582
SP - 95
EP - 118
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 1-3
ER -