Details
| Original language | English |
|---|---|
| Pages (from-to) | 185-203 |
| Number of pages | 19 |
| Journal | Nuclear Physics B |
| Volume | 758 |
| Issue number | 1-2 |
| Publication status | Published - 4 Dec 2006 |
Abstract
We investigate the quantum aspects of a charged hypermultiplet in deformed N = (1, 1) superspace with singlet non-anticommutative deformation of supersymmetry. This model is a "star" modification of the hypermultiplet interacting with a background Abelian vector superfield. We prove that this model is renormalizable in the sense that the divergent part of the effective action is proportional to the N = (1, 0) non-anticommutative super-Yang-Mills action. We also calculate the finite part of the low-energy effective action depending on the vector multiplet, which corresponds to the (anti)holomorphic potential. The holomorphic piece is just deformed to the star-generalization of the standard holomorphic potential, while the antiholomorphic piece is not. We also reveal the component structure and find the deformation of the mass and the central charge.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 758, No. 1-2, 04.12.2006, p. 185-203.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model
AU - Buchbinder, I. L.
AU - Lechtenfeld, O.
AU - Samsonov, I. B.
N1 - Funding Information: The present work is supported particularly by the DFG grant, project No. 436 RUS 113/669/0-3 and by INTAS grant. The work of I.L.B. and I.B.S. was supported by RFBR grant, project No. 06-02-16346, joint RFBR-DFG grant, project No. 06-02-04012 and LRSS grant, project No. 4489.2006.2. I.B.S. acknowledges the support from the grant of the President of Russian Federation, project No. 7110.2006.2. O.L. acknowledges support from the DFG grant Le-838/7. Copyright: Copyright 2006 Elsevier B.V., All rights reserved.
PY - 2006/12/4
Y1 - 2006/12/4
N2 - We investigate the quantum aspects of a charged hypermultiplet in deformed N = (1, 1) superspace with singlet non-anticommutative deformation of supersymmetry. This model is a "star" modification of the hypermultiplet interacting with a background Abelian vector superfield. We prove that this model is renormalizable in the sense that the divergent part of the effective action is proportional to the N = (1, 0) non-anticommutative super-Yang-Mills action. We also calculate the finite part of the low-energy effective action depending on the vector multiplet, which corresponds to the (anti)holomorphic potential. The holomorphic piece is just deformed to the star-generalization of the standard holomorphic potential, while the antiholomorphic piece is not. We also reveal the component structure and find the deformation of the mass and the central charge.
AB - We investigate the quantum aspects of a charged hypermultiplet in deformed N = (1, 1) superspace with singlet non-anticommutative deformation of supersymmetry. This model is a "star" modification of the hypermultiplet interacting with a background Abelian vector superfield. We prove that this model is renormalizable in the sense that the divergent part of the effective action is proportional to the N = (1, 0) non-anticommutative super-Yang-Mills action. We also calculate the finite part of the low-energy effective action depending on the vector multiplet, which corresponds to the (anti)holomorphic potential. The holomorphic piece is just deformed to the star-generalization of the standard holomorphic potential, while the antiholomorphic piece is not. We also reveal the component structure and find the deformation of the mass and the central charge.
UR - http://www.scopus.com/inward/record.url?scp=33750626021&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2006.09.029
DO - 10.1016/j.nuclphysb.2006.09.029
M3 - Article
AN - SCOPUS:33750626021
VL - 758
SP - 185
EP - 203
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 1-2
ER -