Bootstrapping line defects with $O(2)$ global symmetry

Gimenez-Grau, Aleix; van Vliet, Philine; Lauria, Edoardo; Liendo, Pedro

Preprint

PUBDB-2022-04552

Bootstrapping line defects with $O(2)$ global symmetry

Gimenez-Grau, A.DESY* ; Lauria, E. ; Liendo, P.DESY* ; van Vliet, P. (Corresponding author)DESY*

2022

[10.3204/PUBDB-2022-04552]

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Please use a persistent id in citations: doi:10.3204/PUBDB-2022-04552

Report No.: DESY-22-142; arXiv:2208.11715

Abstract: 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.

Keyword(s): symmetry, global ; field theory, conformal ; defect ; bootstrap ; magnetic field ; monodromy ; O(2) ; capture ; correlation function ; numerical calculations