Kählerian effective potentials for Chern–Simons-matter theories

In this paper, we will calculate the effective potential for a theory of multiple M2-branes. As the theory of multiple M2-branes can be described by a Chern–Simons-matter theory, this will be done by calculating the Kählerian effective potential for a Chern–Simons-matter theory. This calculation wil...

Full description

Bibliographic Details
Main Authors: J.M. Queiruga, A.C. Lehum, Mir Faizal
Format: Article
Language:English
Published: Elsevier 2016-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S055032131500382X
_version_ 1811202033797038080
author J.M. Queiruga
A.C. Lehum
Mir Faizal
author_facet J.M. Queiruga
A.C. Lehum
Mir Faizal
author_sort J.M. Queiruga
collection DOAJ
description In this paper, we will calculate the effective potential for a theory of multiple M2-branes. As the theory of multiple M2-branes can be described by a Chern–Simons-matter theory, this will be done by calculating the Kählerian effective potential for a Chern–Simons-matter theory. This calculation will be performed in N=1 superspace formalism. We will initially study an Abelian Chern–Simons-matter theory, and then generalize those results to the full non-Abelian Chern–Simons-matter theory. We will obtain explicit expressions for the superpropagators for this theory. These superpropagators will be used to calculate the one-loop effective potential.
first_indexed 2024-04-12T02:32:09Z
format Article
id doaj.art-72df5c8631424c7e94dea1e874267d47
institution Directory Open Access Journal
issn 0550-3213
1873-1562
language English
last_indexed 2024-04-12T02:32:09Z
publishDate 2016-01-01
publisher Elsevier
record_format Article
series Nuclear Physics B
spelling doaj.art-72df5c8631424c7e94dea1e874267d472022-12-22T03:51:43ZengElsevierNuclear Physics B0550-32131873-15622016-01-01902C586810.1016/j.nuclphysb.2015.11.007Kählerian effective potentials for Chern–Simons-matter theoriesJ.M. Queiruga0A.C. Lehum1Mir Faizal2Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, São Paulo, BrazilEscola de Ciências e Tecnologia, Universidade Federal do Rio Grande do Norte, Caixa Postal 1524, 59072-970 Natal, Rio Grande do Norte, BrazilDepartment of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, CanadaIn this paper, we will calculate the effective potential for a theory of multiple M2-branes. As the theory of multiple M2-branes can be described by a Chern–Simons-matter theory, this will be done by calculating the Kählerian effective potential for a Chern–Simons-matter theory. This calculation will be performed in N=1 superspace formalism. We will initially study an Abelian Chern–Simons-matter theory, and then generalize those results to the full non-Abelian Chern–Simons-matter theory. We will obtain explicit expressions for the superpropagators for this theory. These superpropagators will be used to calculate the one-loop effective potential.http://www.sciencedirect.com/science/article/pii/S055032131500382X
spellingShingle J.M. Queiruga
A.C. Lehum
Mir Faizal
Kählerian effective potentials for Chern–Simons-matter theories
Nuclear Physics B
title Kählerian effective potentials for Chern–Simons-matter theories
title_full Kählerian effective potentials for Chern–Simons-matter theories
title_fullStr Kählerian effective potentials for Chern–Simons-matter theories
title_full_unstemmed Kählerian effective potentials for Chern–Simons-matter theories
title_short Kählerian effective potentials for Chern–Simons-matter theories
title_sort kahlerian effective potentials for chern simons matter theories
url http://www.sciencedirect.com/science/article/pii/S055032131500382X
work_keys_str_mv AT jmqueiruga kahlerianeffectivepotentialsforchernsimonsmattertheories
AT aclehum kahlerianeffectivepotentialsforchernsimonsmattertheories
AT mirfaizal kahlerianeffectivepotentialsforchernsimonsmattertheories