Structure of the $$\mathcal{N}=4$$ chiral algebra
A bstract The chiral algebra of 4D $$\mathcal{N}=4$$ SU( N ) super-Yang-Mills theory is an $$\mathcal{N}=4$$ superconformal vertex operator algebra. We analyse the structure of this algebra by studying recursively the constraints that are required by the associativity of the operator product expansion. We find that the algebra is uniquely characterized by the central charge (which can take an arbitrary value), without any additional free parameter. Furthermore, the truncation pattern of the OPE coefficients suggests that the algebra cannot arise from the symmetric orbifold.
Authors
- Matthias R. Gaberdiel (ORCID: https://orcid.org/0000-0002-6472-9402)
- Wei Li (ORCID: https://orcid.org/0000-0001-8400-8074)
Institutions
- University of Science and Technology of China (CN)
- Chinese Academy of Sciences (CN)
- ETH Zurich (CH)
- University of Chinese Academy of Sciences (CN)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-11-20
- DOI
- https://doi.org/10.1007/jhep11(2025)124
- Citations
- 1
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- National Science Foundation
- National Centres of Competence in Research SwissMAP
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- National Natural Science Foundation of China
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara