Work

Root systems and Minimal RG flows to c=1 CFTs

Year: 2026

Type: preprint

Abstract: We derive exact massless S-matrices from algebraic root-system geometry and derive thermodynamic Bethe ansatz (TBA) equations that generate minimal renormalization group (RG) flows. We show how P. Dorey's geometric construction, originally developed for massive S-matrices, can be extended to massless cases and prove that these new $S$-matrices straightforwardly satisfy the bootstrap equations. We focus on minimal D_n coset CFTs, which are c=1 free-boson CFTs with compactification radius \sqrt{n/2}, and find their UV completions by analyzing the TBA.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.08938

Authors: Ahn, Changrim, Kostadinovic, Sara, Ravanini, Francesco

Institutions: Ewha Womans University, Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, University of Bologna

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, National Research Foundation of Korea, NextGenerationEU

Awards: G5443090575, G7265236220, G743460029

OpenAlex ID: W7220963569

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