Abstract
The effective low-energy hyper-Kähler potential for a massive N = 2 matter in N = 2 super-QCD is investigated. The N = 2 extended supersymmetry severely restricts the N = 2 matter self-couplings so that their exact form can be fixed by a few parameters, which is apparent in the N = 2 harmonic superspace. In the N = 2 QED with a single matter hypermultiplet, the one-loop perturbative calculations lead to the Taub-NUT hyper-Kähler metric in the massive case, and a free metric in the massless case. It is remarkable that the naive non-renormalization 'theorem' does not apply. There exists a manifestly N = 2 supersymmetric duality transformation converting the low-energy effective action for the N = 2 QED hypermultiplet into a sum of the quadratic and the improved (non-polynomial) actions for an N = 2 tensor multiplet. The duality transformation also gives a simple connection between the low-energy effective action in the N = 2 harmonic superspace and the component results.
| Original language | English |
|---|---|
| Pages (from-to) | 83-91 |
| Number of pages | 9 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 399 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 24 Apr 1997 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
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The effective hyper-Kähler potential in the N = 2 supersymmetric QCD. / Ketov, Sergei V.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 399, No. 1-2, 24.04.1997, p. 83-91.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The effective hyper-Kähler potential in the N = 2 supersymmetric QCD
AU - Ketov, Sergei V.
PY - 1997/4/24
Y1 - 1997/4/24
N2 - The effective low-energy hyper-Kähler potential for a massive N = 2 matter in N = 2 super-QCD is investigated. The N = 2 extended supersymmetry severely restricts the N = 2 matter self-couplings so that their exact form can be fixed by a few parameters, which is apparent in the N = 2 harmonic superspace. In the N = 2 QED with a single matter hypermultiplet, the one-loop perturbative calculations lead to the Taub-NUT hyper-Kähler metric in the massive case, and a free metric in the massless case. It is remarkable that the naive non-renormalization 'theorem' does not apply. There exists a manifestly N = 2 supersymmetric duality transformation converting the low-energy effective action for the N = 2 QED hypermultiplet into a sum of the quadratic and the improved (non-polynomial) actions for an N = 2 tensor multiplet. The duality transformation also gives a simple connection between the low-energy effective action in the N = 2 harmonic superspace and the component results.
AB - The effective low-energy hyper-Kähler potential for a massive N = 2 matter in N = 2 super-QCD is investigated. The N = 2 extended supersymmetry severely restricts the N = 2 matter self-couplings so that their exact form can be fixed by a few parameters, which is apparent in the N = 2 harmonic superspace. In the N = 2 QED with a single matter hypermultiplet, the one-loop perturbative calculations lead to the Taub-NUT hyper-Kähler metric in the massive case, and a free metric in the massless case. It is remarkable that the naive non-renormalization 'theorem' does not apply. There exists a manifestly N = 2 supersymmetric duality transformation converting the low-energy effective action for the N = 2 QED hypermultiplet into a sum of the quadratic and the improved (non-polynomial) actions for an N = 2 tensor multiplet. The duality transformation also gives a simple connection between the low-energy effective action in the N = 2 harmonic superspace and the component results.
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U2 - 10.1016/S0370-2693(97)00264-5
DO - 10.1016/S0370-2693(97)00264-5
M3 - Article
VL - 399
SP - 83
EP - 91
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -