Year: 2021
Type: article
Abstract: The $$ \mathcal{N} $$ N = 4 higher spin generators for general superspin s in terms of oscillators in the matrix generalization of AdS3 Vasiliev higher spin theory at nonzero μ (which is equivalent to the ’t Hooft-like coupling constant λ) were found previously. In this paper, by computing the (anti)commutators between these $$ \mathcal{N} $$ N = 4 higher spin generators for low spins s1 and s2 (s1 + s2 ≤ 11) explicitly, we determine the complete $$ \mathcal{N} $$ N = 4 higher spin algebra for generic μ. The three kinds of structure constants contain the linear combination of two different generalized hypergeometric functions. These structure constants remain the same under the transformation μ ↔ (1 − μ) up to signs. We have checked that the above $$ \mathcal{N} $$ N = 4 higher spin algebra contains the $$ \mathcal{N} $$ N = 2 higher spin algebra, as a subalgebra, found by Fradkin and Linetsky some time ago.
Source: Journal of High Energy Physics
Authors: Changhyun Ahn, Man Hea Kim
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G8779832742, G985693736
OpenAlex ID: W3084341969