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.

N1 - Funding Information: I.B.S. is grateful to N.G. Pletnev for useful discussions. The work of I.L.B, and I.B.S., as well as of E.A.I. and B.M.Z., was supported by the RFBR grants Nos. 03-02-16193 and 03-02-17440, respectively. The work of I.L.B., E.A.I., O.L. and B.M.Z. was also supported by the DFG grant No. 436 RUS 113/669. I.L.B., E.A.I. and B.M.Z. acknowledge a partial support from the joint RFBR-DFG grant No. 04-02-04002. O.L. acknowledges support from the DFG grant Le-838/7 and I.L.B. from the grant INTAS-03-51-6346 and a grant for LRSS, project No. 1252.2003.2. The work of I.B.S was partially supported by the joint DAAD—Mikhail Lomonosov Program (project No. 71627) and by a grant for LRSS, project No. 1743.2003.2. E.A.I. and B.M.Z. acknowledge support from a grant of the Heisenberg–Landau program and the NATO grant PST.GLG.980302. I.L.B. is grateful to Max Planck Institut für Physik (Munich) where the paper has been finalized and to Prof. D. Lüst for kind hospitality. I.B.S. thanks the Institut für Theoretische Physik, Universität Hannover, and E.A.I. thanks Laboratoire de Physique, ENS-Lyon, for the kind hospitality extended to them at the final stage of this work. Copyright: Copyright 2006 Elsevier B.V., All rights reserved.

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

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 -