Renormalizability of nonanticommutative N = (1,1) theories with singlet deformation

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	https://doi.org/10.1016/j.nuclphysb.2006.02.022
Publication status	Published - 24 Apr 2006

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/j.nuclphysb.2006.02.022

Fingerprint Dive into the research topics of 'Renormalizability of nonanticommutative N = (1,1) theories with singlet deformation'. Together they form a unique fingerprint.

Cite this

Buchbinder, I. L., Ivanov, E. A., Lechtenfeld, O., Samsonov, I. B., & Zupnik, B. M. (2006). Renormalizability of nonanticommutative N = (1,1) theories with singlet deformation. Nuclear Physics B, 740(3), 358-385. https://doi.org/10.1016/j.nuclphysb.2006.02.022

@article{d00d69e145854bbd8cb52a81d0dfc165,

title = "Renormalizability of nonanticommutative N = (1,1) theories with singlet deformation",

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.",

author = "Buchbinder, {I. L.} and Ivanov, {E. A.} and O. Lechtenfeld and Samsonov, {I. B.} and Zupnik, {B. M.}",

year = "2006",

month = apr,

day = "24",

doi = "10.1016/j.nuclphysb.2006.02.022",

language = "English",

volume = "740",

pages = "358--385",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "3",

}

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 -