Details
| Original language | English |
|---|---|
| Pages (from-to) | 317-336 |
| Number of pages | 20 |
| Journal | Journal of high energy physics |
| Volume | 7 |
| Issue number | 3 |
| Publication status | Published - 1 Mar 2003 |
Abstract
Proceeding from a nonlinear realization of the most general N=4, d=1 superconformal symmetry, associated with the supergroup D(2,1; α), we construct a new model of nonrelativistic N=4 superconformal mechanics. In the bosonic sector it combines the worldline dilaton with the fields parametrizing the R-symmetry coset S2 ∼ SU(2)/U(1). We present invariant off-shell N=4 and N=2 superfield actions for this system and show the existence of an independent N=4 superconformal invariant which extends the dilaton potential. The extended supersymmetry requires this potential to be accompanied by a d=1 WZW term on S2. We study the classical dynamics of the bosonic action and the geometry of its sigma-model part. It turns out that the relevant target space is a cone over S2 for any non-zero α ≠ ±1/2. The constructed model is expected to be related to the 'relativistic' N=4 mechanics of the AdS2 × S2 superparticle via a nonlinear transformation of the fields and the time variable.
Keywords
- Conformal and W Symmetry, Extended Supersymmetry, Field Theories in Lower Dimensions
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 7, No. 3, 01.03.2003, p. 317-336.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - New variant of N = 4 superconformal mechanics
AU - Ivanov, Evgeny
AU - Krivonos, Sergey
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2003/3/1
Y1 - 2003/3/1
N2 - Proceeding from a nonlinear realization of the most general N=4, d=1 superconformal symmetry, associated with the supergroup D(2,1; α), we construct a new model of nonrelativistic N=4 superconformal mechanics. In the bosonic sector it combines the worldline dilaton with the fields parametrizing the R-symmetry coset S2 ∼ SU(2)/U(1). We present invariant off-shell N=4 and N=2 superfield actions for this system and show the existence of an independent N=4 superconformal invariant which extends the dilaton potential. The extended supersymmetry requires this potential to be accompanied by a d=1 WZW term on S2. We study the classical dynamics of the bosonic action and the geometry of its sigma-model part. It turns out that the relevant target space is a cone over S2 for any non-zero α ≠ ±1/2. The constructed model is expected to be related to the 'relativistic' N=4 mechanics of the AdS2 × S2 superparticle via a nonlinear transformation of the fields and the time variable.
AB - Proceeding from a nonlinear realization of the most general N=4, d=1 superconformal symmetry, associated with the supergroup D(2,1; α), we construct a new model of nonrelativistic N=4 superconformal mechanics. In the bosonic sector it combines the worldline dilaton with the fields parametrizing the R-symmetry coset S2 ∼ SU(2)/U(1). We present invariant off-shell N=4 and N=2 superfield actions for this system and show the existence of an independent N=4 superconformal invariant which extends the dilaton potential. The extended supersymmetry requires this potential to be accompanied by a d=1 WZW term on S2. We study the classical dynamics of the bosonic action and the geometry of its sigma-model part. It turns out that the relevant target space is a cone over S2 for any non-zero α ≠ ±1/2. The constructed model is expected to be related to the 'relativistic' N=4 mechanics of the AdS2 × S2 superparticle via a nonlinear transformation of the fields and the time variable.
KW - Conformal and W Symmetry
KW - Extended Supersymmetry
KW - Field Theories in Lower Dimensions
UR - http://www.scopus.com/inward/record.url?scp=23044490844&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2003/03/014
DO - 10.1088/1126-6708/2003/03/014
M3 - Article
AN - SCOPUS:23044490844
VL - 7
SP - 317
EP - 336
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 3
ER -