N = 8 superconformal Chern-Simons theories

A Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed recently by Bagger and Lambert (BL). The BL theory has SO(4) gauge symmetry and contains scalar and spinor fields that transform as 4-vectors. We verify that this theory has OSp(8|4) sup...

Full description

Bibliographic Details
Main Authors: Bandres, M, Lipstein, A, Schwarz, J
Format: Journal article
Language:English
Published: 2008
_version_ 1797083665326407680
author Bandres, M
Lipstein, A
Schwarz, J
author_facet Bandres, M
Lipstein, A
Schwarz, J
author_sort Bandres, M
collection OXFORD
description A Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed recently by Bagger and Lambert (BL). The BL theory has SO(4) gauge symmetry and contains scalar and spinor fields that transform as 4-vectors. We verify that this theory has OSp(8|4) superconformal symmetry and that it is parity conserving despite the fact that it contains a Chern-Simons term. We describe several unsuccessful attempts to construct theories of this type for other gauge groups and representations. This experience leads us to conjecture the uniqueness of the BL theory. Given its large symmetry, we expect this theory to play a significant role in the future development of string theory and M-theory.
first_indexed 2024-03-07T01:44:39Z
format Journal article
id oxford-uuid:97ffc64f-1458-4e8e-af16-37788a49f08e
institution University of Oxford
language English
last_indexed 2024-03-07T01:44:39Z
publishDate 2008
record_format dspace
spelling oxford-uuid:97ffc64f-1458-4e8e-af16-37788a49f08e2022-03-27T00:03:53ZN = 8 superconformal Chern-Simons theoriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:97ffc64f-1458-4e8e-af16-37788a49f08eEnglishSymplectic Elements at Oxford2008Bandres, MLipstein, ASchwarz, JA Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed recently by Bagger and Lambert (BL). The BL theory has SO(4) gauge symmetry and contains scalar and spinor fields that transform as 4-vectors. We verify that this theory has OSp(8|4) superconformal symmetry and that it is parity conserving despite the fact that it contains a Chern-Simons term. We describe several unsuccessful attempts to construct theories of this type for other gauge groups and representations. This experience leads us to conjecture the uniqueness of the BL theory. Given its large symmetry, we expect this theory to play a significant role in the future development of string theory and M-theory.
spellingShingle Bandres, M
Lipstein, A
Schwarz, J
N = 8 superconformal Chern-Simons theories
title N = 8 superconformal Chern-Simons theories
title_full N = 8 superconformal Chern-Simons theories
title_fullStr N = 8 superconformal Chern-Simons theories
title_full_unstemmed N = 8 superconformal Chern-Simons theories
title_short N = 8 superconformal Chern-Simons theories
title_sort n 8 superconformal chern simons theories
work_keys_str_mv AT bandresm n8superconformalchernsimonstheories
AT lipsteina n8superconformalchernsimonstheories
AT schwarzj n8superconformalchernsimonstheories