Abstract
We study the quantum properties of two theories with a nonanticommutative (or nilpotent) chiral singlet deformation of N = (1, 1) supersymmetry: the Abelian model of a vector gauge multiplet and the model of a gauge multiplet interacting with a neutral hypermultiplet. In spite of the presence of a negative-mass-dimension coupling constant (deformation parameter), both theories are shown to be finite in the sense that the full effective action is one-loop exact and contains finitely many divergent terms, which vanish on-shell. The β-function for the coupling constant is equal to zero. The divergencies can all be removed off shell by a redefinition of one of the two scalar fields of the gauge multiplet. These notable quantum properties are tightly related to the existence of a Seiberg-Witten-type transformation in both models.
| Original language | English |
|---|---|
| Pages (from-to) | 358-385 |
| Number of pages | 28 |
| Journal | Nuclear Physics B |
| Volume | 740 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 24 Apr 2006 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Renormalizability of nonanticommutative N = (1,1) theories with singlet deformation. / Buchbinder, I. L.; Ivanov, E. A.; Lechtenfeld, O.; Samsonov, I. B.; Zupnik, B. M.
In: Nuclear Physics B, Vol. 740, No. 3, 24.04.2006, p. 358-385.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Renormalizability of nonanticommutative N = (1,1) theories with singlet deformation
AU - Buchbinder, I. L.
AU - Ivanov, E. A.
AU - Lechtenfeld, O.
AU - Samsonov, I. B.
AU - Zupnik, B. M.
PY - 2006/4/24
Y1 - 2006/4/24
N2 - We study the quantum properties of two theories with a nonanticommutative (or nilpotent) chiral singlet deformation of N = (1, 1) supersymmetry: the Abelian model of a vector gauge multiplet and the model of a gauge multiplet interacting with a neutral hypermultiplet. In spite of the presence of a negative-mass-dimension coupling constant (deformation parameter), both theories are shown to be finite in the sense that the full effective action is one-loop exact and contains finitely many divergent terms, which vanish on-shell. The β-function for the coupling constant is equal to zero. The divergencies can all be removed off shell by a redefinition of one of the two scalar fields of the gauge multiplet. These notable quantum properties are tightly related to the existence of a Seiberg-Witten-type transformation in both models.
AB - We study the quantum properties of two theories with a nonanticommutative (or nilpotent) chiral singlet deformation of N = (1, 1) supersymmetry: the Abelian model of a vector gauge multiplet and the model of a gauge multiplet interacting with a neutral hypermultiplet. In spite of the presence of a negative-mass-dimension coupling constant (deformation parameter), both theories are shown to be finite in the sense that the full effective action is one-loop exact and contains finitely many divergent terms, which vanish on-shell. The β-function for the coupling constant is equal to zero. The divergencies can all be removed off shell by a redefinition of one of the two scalar fields of the gauge multiplet. These notable quantum properties are tightly related to the existence of a Seiberg-Witten-type transformation in both models.
UR - http://www.scopus.com/inward/record.url?scp=33644971223&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33644971223&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2006.02.022
DO - 10.1016/j.nuclphysb.2006.02.022
M3 - Article
AN - SCOPUS:33644971223
VL - 740
SP - 358
EP - 385
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 3
ER -