Two-loop low-energy effective action in Abelian supersymmetric Chern-Simons matter models

I. L. Buchbinder, B. S. Merzlikin, I. B. Samsonov

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We compute two-loop low-energy effective actions in Abelian Chern-Simons matter models with N=2 and N=3 supersymmetry up to four-derivative order. Calculations are performed with a slowly-varying gauge superfield background. Though the gauge superfield propagator depends on the gauge fixing parameter, it is shown that the obtained results are independent of this parameter. In the massless case the considered models are superconformal. We demonstrate that the superconformal symmetry strongly restricts the form of two-loop quantum corrections to the effective actions such that the obtained terms have simpler structure than the analogous ones in the effective action of three-dimensional supersymmetric electrodynamics (SQED) with vanishing topological mass.

Original languageEnglish
Pages (from-to)42-70
Number of pages29
JournalNuclear Physics B
Volume881
Issue number1
DOIs
Publication statusPublished - 1 Jan 2014

Fingerprint

electrodynamics
fixing
supersymmetry
energy
propagation
symmetry

Keywords

  • Chern-Simons model
  • Effective action
  • Extended supersymmetry
  • Quantum electrodynamics

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Two-loop low-energy effective action in Abelian supersymmetric Chern-Simons matter models. / Buchbinder, I. L.; Merzlikin, B. S.; Samsonov, I. B.

In: Nuclear Physics B, Vol. 881, No. 1, 01.01.2014, p. 42-70.

Research output: Contribution to journalArticle

@article{63b8fcbb6ee14f8ca1aeb9bd67aa3d13,
title = "Two-loop low-energy effective action in Abelian supersymmetric Chern-Simons matter models",
abstract = "We compute two-loop low-energy effective actions in Abelian Chern-Simons matter models with N=2 and N=3 supersymmetry up to four-derivative order. Calculations are performed with a slowly-varying gauge superfield background. Though the gauge superfield propagator depends on the gauge fixing parameter, it is shown that the obtained results are independent of this parameter. In the massless case the considered models are superconformal. We demonstrate that the superconformal symmetry strongly restricts the form of two-loop quantum corrections to the effective actions such that the obtained terms have simpler structure than the analogous ones in the effective action of three-dimensional supersymmetric electrodynamics (SQED) with vanishing topological mass.",
keywords = "Chern-Simons model, Effective action, Extended supersymmetry, Quantum electrodynamics",
author = "Buchbinder, {I. L.} and Merzlikin, {B. S.} and Samsonov, {I. B.}",
year = "2014",
month = "1",
day = "1",
doi = "10.1016/j.nuclphysb.2014.01.025",
language = "English",
volume = "881",
pages = "42--70",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - Two-loop low-energy effective action in Abelian supersymmetric Chern-Simons matter models

AU - Buchbinder, I. L.

AU - Merzlikin, B. S.

AU - Samsonov, I. B.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We compute two-loop low-energy effective actions in Abelian Chern-Simons matter models with N=2 and N=3 supersymmetry up to four-derivative order. Calculations are performed with a slowly-varying gauge superfield background. Though the gauge superfield propagator depends on the gauge fixing parameter, it is shown that the obtained results are independent of this parameter. In the massless case the considered models are superconformal. We demonstrate that the superconformal symmetry strongly restricts the form of two-loop quantum corrections to the effective actions such that the obtained terms have simpler structure than the analogous ones in the effective action of three-dimensional supersymmetric electrodynamics (SQED) with vanishing topological mass.

AB - We compute two-loop low-energy effective actions in Abelian Chern-Simons matter models with N=2 and N=3 supersymmetry up to four-derivative order. Calculations are performed with a slowly-varying gauge superfield background. Though the gauge superfield propagator depends on the gauge fixing parameter, it is shown that the obtained results are independent of this parameter. In the massless case the considered models are superconformal. We demonstrate that the superconformal symmetry strongly restricts the form of two-loop quantum corrections to the effective actions such that the obtained terms have simpler structure than the analogous ones in the effective action of three-dimensional supersymmetric electrodynamics (SQED) with vanishing topological mass.

KW - Chern-Simons model

KW - Effective action

KW - Extended supersymmetry

KW - Quantum electrodynamics

UR - http://www.scopus.com/inward/record.url?scp=84896294352&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84896294352&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2014.01.025

DO - 10.1016/j.nuclphysb.2014.01.025

M3 - Article

VL - 881

SP - 42

EP - 70

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1

ER -