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arXiv · 2503.16685

Renormalization Group flow in Schur quantization

Federico Ambrosino·Davide Gaiotto
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Abstract

We develop a general formalism to describe the Renormalization Group Flow of Schur indices and fusion algebras of BPS line defects in four-dimensional ${\cal N}=2$ 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 ${\mathcal N}=2$ gauge theories with matter in terms of the spectrum of pure ${\mathcal N}=2$ gauge theories. Applications to the theory of quantum groups and to the quantization of cluster varieties are also discussed.

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Federico Ambrosino, Davide Gaiotto. 2025-03-20. Renormalization Group flow in Schur quantization. https://arxiv.org/abs/2503.16685

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