Rectangular W algebras and superalgebras and their representations
Creutzig T, Hikida Y (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 100
Article Number: 086008
Journal Issue: 8
DOI: 10.1103/PhysRevD.100.086008
Abstract
We study W algebras obtained by quantum Hamiltonian reduction of sl(Mn) associated to the sl(2) embedding of rectangular type. The algebra can be realized as the asymptotic symmetry of higher spin gravity with M×M matrix valued fields. In our previous work, we examined the basic properties of the W algebra and claimed that the algebra can be realized as the symmetry of Grassmannian-like coset even with finite central charge based on a proposal of holography. In this paper, we extend the analysis in the following ways. First, we compute the operator product expansions among low spin generators removing the restriction of n=2. Second, we investigate the degenerate representations in several ways, and see the relations to the coset spectrum and the conical defect geometry of the higher spin gravity. For these analyses, we mainly set M=n=2. Finally, we extend the previous analysis by introducing N=2 supersymmetry.
Involved external institutions
Canada (CA)
Japan (JP)How to cite
APA:
Creutzig, T., & Hikida, Y. (2019). Rectangular W algebras and superalgebras and their representations. Physical Review D, 100(8). https://doi.org/10.1103/PhysRevD.100.086008
MLA:
Creutzig, Thomas, and Yasuaki Hikida. "Rectangular W algebras and superalgebras and their representations." Physical Review D 100.8 (2019).
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