Ghost-Free Superconformal Action for Multiple M2-Branes

The Bagger--Lambert construction of N = 8 superconformal field theories (SCFT) in three dimensions is based on 3-algebras. Three groups of researchers recently realized that an arbitrary semisimple Lie algebra can be incorporated by using a suitable Lorentzian signature 3-algebra. The SU(N) case is...

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Main Authors: Bandres, M, Lipstein, A, Schwarz, J
Format: Journal article
Published: 2008
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author Bandres, M
Lipstein, A
Schwarz, J
author_facet Bandres, M
Lipstein, A
Schwarz, J
author_sort Bandres, M
collection OXFORD
description The Bagger--Lambert construction of N = 8 superconformal field theories (SCFT) in three dimensions is based on 3-algebras. Three groups of researchers recently realized that an arbitrary semisimple Lie algebra can be incorporated by using a suitable Lorentzian signature 3-algebra. The SU(N) case is a candidate for the SCFT describing coincident M2-branes. However, these theories contain ghost degrees of freedom, which is unsatisfactory. We modify them by gauging certain global symmetries. This eliminates the ghosts from these theories while preserving all of their desirable properties. The resulting theories turn out to be precisely equivalent to N = 8 super Yang--Mills theories.
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spelling oxford-uuid:30516d7b-3669-45f4-b859-af1c3a4f8e6b2022-03-26T13:00:41ZGhost-Free Superconformal Action for Multiple M2-BranesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:30516d7b-3669-45f4-b859-af1c3a4f8e6bSymplectic Elements at Oxford2008Bandres, MLipstein, ASchwarz, JThe Bagger--Lambert construction of N = 8 superconformal field theories (SCFT) in three dimensions is based on 3-algebras. Three groups of researchers recently realized that an arbitrary semisimple Lie algebra can be incorporated by using a suitable Lorentzian signature 3-algebra. The SU(N) case is a candidate for the SCFT describing coincident M2-branes. However, these theories contain ghost degrees of freedom, which is unsatisfactory. We modify them by gauging certain global symmetries. This eliminates the ghosts from these theories while preserving all of their desirable properties. The resulting theories turn out to be precisely equivalent to N = 8 super Yang--Mills theories.
spellingShingle Bandres, M
Lipstein, A
Schwarz, J
Ghost-Free Superconformal Action for Multiple M2-Branes
title Ghost-Free Superconformal Action for Multiple M2-Branes
title_full Ghost-Free Superconformal Action for Multiple M2-Branes
title_fullStr Ghost-Free Superconformal Action for Multiple M2-Branes
title_full_unstemmed Ghost-Free Superconformal Action for Multiple M2-Branes
title_short Ghost-Free Superconformal Action for Multiple M2-Branes
title_sort ghost free superconformal action for multiple m2 branes
work_keys_str_mv AT bandresm ghostfreesuperconformalactionformultiplem2branes
AT lipsteina ghostfreesuperconformalactionformultiplem2branes
AT schwarzj ghostfreesuperconformalactionformultiplem2branes