Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs
Abstract We examine rectangular W-algebras with so(M) or sp(2M) symmetry, which can be realized as the asymptotic symmetry of higher spin gravities with restricted matrix extensions. We compute the central charges of the algebras and the levels of so(M) or sp(2M) affine subalgebras by applying the H...
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Online Access: | http://link.springer.com/article/10.1007/JHEP10(2019)023 |
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doaj-c0e432db062b42ab8086a06543862eca2020-11-25T02:47:52ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191014810.1007/JHEP10(2019)023Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTsThomas Creutzig0Yasuaki Hikida1Takahiro Uetoko2Department of Mathematical and Statistical Sciences, University of AlbertaCenter for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto UniversityDepartment of Physical Sciences, College of Science and Engineering, Ritsumeikan UniversityAbstract We examine rectangular W-algebras with so(M) or sp(2M) symmetry, which can be realized as the asymptotic symmetry of higher spin gravities with restricted matrix extensions. We compute the central charges of the algebras and the levels of so(M) or sp(2M) affine subalgebras by applying the Hamiltonian reductions of so or sp type Lie algebras. For simple cases with generators of spin up to two, we obtain their operator product expansions by requiring the associativity. We further claim that the W-algebras can be realized as the symmetry algebras of dual coset CFTs and provide several strong supports. The analysis can be regarded as a check of extended higher spin holographies including full quantum corrections. We also extend the analysis by introducing N $$ \mathcal{N} $$ = 1 supersymmetry.http://link.springer.com/article/10.1007/JHEP10(2019)023AdS-CFT CorrespondenceConformal and W SymmetryHigher Spin Gravity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Thomas Creutzig Yasuaki Hikida Takahiro Uetoko |
spellingShingle |
Thomas Creutzig Yasuaki Hikida Takahiro Uetoko Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs Journal of High Energy Physics AdS-CFT Correspondence Conformal and W Symmetry Higher Spin Gravity |
author_facet |
Thomas Creutzig Yasuaki Hikida Takahiro Uetoko |
author_sort |
Thomas Creutzig |
title |
Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs |
title_short |
Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs |
title_full |
Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs |
title_fullStr |
Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs |
title_full_unstemmed |
Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs |
title_sort |
rectangular w-algebras of types so(m) and sp(2m) and dual coset cfts |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-10-01 |
description |
Abstract We examine rectangular W-algebras with so(M) or sp(2M) symmetry, which can be realized as the asymptotic symmetry of higher spin gravities with restricted matrix extensions. We compute the central charges of the algebras and the levels of so(M) or sp(2M) affine subalgebras by applying the Hamiltonian reductions of so or sp type Lie algebras. For simple cases with generators of spin up to two, we obtain their operator product expansions by requiring the associativity. We further claim that the W-algebras can be realized as the symmetry algebras of dual coset CFTs and provide several strong supports. The analysis can be regarded as a check of extended higher spin holographies including full quantum corrections. We also extend the analysis by introducing N $$ \mathcal{N} $$ = 1 supersymmetry. |
topic |
AdS-CFT Correspondence Conformal and W Symmetry Higher Spin Gravity |
url |
http://link.springer.com/article/10.1007/JHEP10(2019)023 |
work_keys_str_mv |
AT thomascreutzig rectangularwalgebrasoftypessomandsp2manddualcosetcfts AT yasuakihikida rectangularwalgebrasoftypessomandsp2manddualcosetcfts AT takahirouetoko rectangularwalgebrasoftypessomandsp2manddualcosetcfts |
_version_ |
1724750694836076544 |