Bosonic symmetries of (2, 0) DLCQ field theories

Abstract We investigate symmetries of the six-dimensional (2, 0) theory reduced along a compact null direction. The action for this theory was deduced by considering M-theory on AdS 7 × S 4 and reducing the AdS 7 factor along a time-like Hopf fibration which breaks one quarter of the supersymmetry a...

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Main Authors: N. Lambert, A. Lipstein, R. Mouland, P. Richmond
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2020)166
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author N. Lambert
A. Lipstein
R. Mouland
P. Richmond
author_facet N. Lambert
A. Lipstein
R. Mouland
P. Richmond
author_sort N. Lambert
collection DOAJ
description Abstract We investigate symmetries of the six-dimensional (2, 0) theory reduced along a compact null direction. The action for this theory was deduced by considering M-theory on AdS 7 × S 4 and reducing the AdS 7 factor along a time-like Hopf fibration which breaks one quarter of the supersymmetry and reduces the isometry group from SO(6, 2) to SU(3, 1). The boundary theory was previously shown to have 24 supercharges and a Lifshitz scaling symmetry. In this paper, we show that it has four boost-like symmetries and an additional conformal symmetry which furnish a representation of SU(3, 1) when combined with the other bosonic symmetries, providing a nontrivial check of the holographic correspondence.
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spelling doaj.art-7fa08e26348f458587bc1884ff7669bf2022-12-21T20:29:53ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112310.1007/JHEP01(2020)166Bosonic symmetries of (2, 0) DLCQ field theoriesN. Lambert0A. Lipstein1R. Mouland2P. Richmond3Department of Mathematics, King’s College LondonDepartment of Mathematical Sciences, Durham UniversityDepartment of Mathematics, King’s College LondonDepartment of Mathematics, King’s College LondonAbstract We investigate symmetries of the six-dimensional (2, 0) theory reduced along a compact null direction. The action for this theory was deduced by considering M-theory on AdS 7 × S 4 and reducing the AdS 7 factor along a time-like Hopf fibration which breaks one quarter of the supersymmetry and reduces the isometry group from SO(6, 2) to SU(3, 1). The boundary theory was previously shown to have 24 supercharges and a Lifshitz scaling symmetry. In this paper, we show that it has four boost-like symmetries and an additional conformal symmetry which furnish a representation of SU(3, 1) when combined with the other bosonic symmetries, providing a nontrivial check of the holographic correspondence.https://doi.org/10.1007/JHEP01(2020)166M-TheorySupersymmetric Gauge TheoryAdS-CFT Correspondence
spellingShingle N. Lambert
A. Lipstein
R. Mouland
P. Richmond
Bosonic symmetries of (2, 0) DLCQ field theories
Journal of High Energy Physics
M-Theory
Supersymmetric Gauge Theory
AdS-CFT Correspondence
title Bosonic symmetries of (2, 0) DLCQ field theories
title_full Bosonic symmetries of (2, 0) DLCQ field theories
title_fullStr Bosonic symmetries of (2, 0) DLCQ field theories
title_full_unstemmed Bosonic symmetries of (2, 0) DLCQ field theories
title_short Bosonic symmetries of (2, 0) DLCQ field theories
title_sort bosonic symmetries of 2 0 dlcq field theories
topic M-Theory
Supersymmetric Gauge Theory
AdS-CFT Correspondence
url https://doi.org/10.1007/JHEP01(2020)166
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