Bootstrapping line defects with O(2) global symmetry

Autor: Aleix Gimenez-Grau, Edoardo Lauria, Pedro Liendo, Philine van Vliet
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of High Energy Physics
Journal of high energy physics 11(11), 18 (2022). doi:10.1007/JHEP11(2022)018
DOI: 10.1007/JHEP11(2022)018
Popis: Journal of high energy physics 11(11), 18 (2022). doi:10.1007/JHEP11(2022)018
We use the numerical bootstrap to study conformal line defects with $O(2)$ global symmetry. Our results are very general and capture in particular line defects originating from bulk CFTs with a global symmetry, which can either be preserved or partially broken by the presence of the defect. We begin with an agnostic approach and perform a systematic bootstrap study of correlation functions between two canonical operators on the defect: the displacement and the tilt. We then focus on two interesting theories: a monodromy line defect and a localized magnetic field line defect. To this end, we combine the numerical bootstrap with the $\varepsilon$-expansion, where we complement existing results in the literature with additional calculations. For the monodromy defect our numerical results are consistent with expectations, with known analytic solutions sitting inside our numerical bounds. For the localized magnetic field line defect our plots show a series of intriguing cusps which we explore.
Published by SISSA, [Trieste]
Databáze: OpenAIRE