Renormalization Group Flow in Schur quantization
A bstract We develop a general formalism to describe the Renormalization Group Flow of Schur indices and fusion algebras of BPS line defects in four-dimensional 𝒩 = 2 Supersymmetric Quantum Field Theories. The formalism includes and extends known results about the Seiberg-Witten description of these structures. Another application of the formalism is to describe the spectrum of BPS partices of 𝒩 = 2 gauge theories with matter in terms of the spectrum of pure 𝒩 = 2 gauge theories. Applications to the theory of quantum groups and to the quantization of cluster varieties are also discussed.
Authors
- Davide Gaiotto (ORCID: https://orcid.org/0000-0003-3077-3509)
- Federico Ambrosino (ORCID: https://orcid.org/0000-0002-5617-5446)
Institutions
- Perimeter Institute (CA)
- Deutsches Elektronen-Synchrotron DESY (DE)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2026-02-04
- DOI
- https://doi.org/10.1007/jhep02(2026)057
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Innovation, Science and Economic Development Canada
- Government of Canada
- Deutsche Forschungsgemeinschaft
- Krembil Foundation
- Institut Périmètre de physique théorique
- Ministry of Colleges and Universities
- Natural Sciences and Engineering Research Council of Canada