Details
| Original language | English |
|---|---|
| Article number | 42 |
| Journal | Journal of high energy physics |
| Volume | 2011 |
| Issue number | 2 |
| Publication status | Published - 2011 |
Abstract
We overcome the barrier of constructing N=4 superconformal models in one space dimension for more than three particles. The D(2,1; α) superalgebra of our systems is realized on the coordinates and momenta of the particles, their superpartners and one complex pair of harmonic variables. The models are determined by two prepotentials, F and U, which must obey the WDVV and a Killing-type equation plus homogeneity conditions. We investigate permutation-symmetric solutions, with and without translation invariance. Models based on deformed An and BCDn root systems are constructed for any value of α, and exceptional Fn-type and super root systems admit solutions as well. Translation-invariant mechanics occurs for any number of particles at α=-1/2 (osp(4|2) invariance as a degenerate limit) and for four particles at arbitrary a (three series).
Keywords
- Extended supersymmetry, Integrable equations in physics
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2011, No. 2, 42, 2011.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Many-particle mechanics with D(2, 1;α) superconformal symmetry
AU - Krivonos, Sergey
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2011
Y1 - 2011
N2 - We overcome the barrier of constructing N=4 superconformal models in one space dimension for more than three particles. The D(2,1; α) superalgebra of our systems is realized on the coordinates and momenta of the particles, their superpartners and one complex pair of harmonic variables. The models are determined by two prepotentials, F and U, which must obey the WDVV and a Killing-type equation plus homogeneity conditions. We investigate permutation-symmetric solutions, with and without translation invariance. Models based on deformed An and BCDn root systems are constructed for any value of α, and exceptional Fn-type and super root systems admit solutions as well. Translation-invariant mechanics occurs for any number of particles at α=-1/2 (osp(4|2) invariance as a degenerate limit) and for four particles at arbitrary a (three series).
AB - We overcome the barrier of constructing N=4 superconformal models in one space dimension for more than three particles. The D(2,1; α) superalgebra of our systems is realized on the coordinates and momenta of the particles, their superpartners and one complex pair of harmonic variables. The models are determined by two prepotentials, F and U, which must obey the WDVV and a Killing-type equation plus homogeneity conditions. We investigate permutation-symmetric solutions, with and without translation invariance. Models based on deformed An and BCDn root systems are constructed for any value of α, and exceptional Fn-type and super root systems admit solutions as well. Translation-invariant mechanics occurs for any number of particles at α=-1/2 (osp(4|2) invariance as a degenerate limit) and for four particles at arbitrary a (three series).
KW - Extended supersymmetry
KW - Integrable equations in physics
UR - http://www.scopus.com/inward/record.url?scp=80053119311&partnerID=8YFLogxK
U2 - 10.1007/JHEP02(2011)042
DO - 10.1007/JHEP02(2011)042
M3 - Article
AN - SCOPUS:80053119311
VL - 2011
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 2
M1 - 42
ER -