Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs

Creutzig T, Hikida Y, Uetoko T (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Journal of High Energy Physics Springer Verlag (Germany) / Institute of Physics / Scuola Internazionale Superiore di Studi Avanzati (SISSA)

Book Volume: 2019

Article Number: 23

Journal Issue: 10

DOI: 10.1007/JHEP10(2019)023

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 = 1 supersymmetry.

Involved external institutions

University of Alberta CA Canada (CA) Kyoto University / 京都大学 Kyōto daigaku JP Japan (JP) Ritsumeikan University / 立命館大学 JP Japan (JP)

How to cite

APA:

Creutzig, T., Hikida, Y., & Uetoko, T. (2019). Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs. Journal of High Energy Physics, 2019(10). https://doi.org/10.1007/JHEP10(2019)023

MLA:

Creutzig, Thomas, Yasuaki Hikida, and Takahiro Uetoko. "Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs." Journal of High Energy Physics 2019.10 (2019).

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