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...
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Format: | Article |
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Elsevier
2016-01-01
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Series: | Nuclear Physics B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S055032131500382X |
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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 |