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

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

doi:10.1007/JHEP11(2022)018

Journal Article

PUBDB-2022-07227

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

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

2022
SISSA [Trieste]

Journal of high energy physics 11(11), 18 (2022) [10.1007/JHEP11(2022)018]

This record in other databases:

Please use a persistent id in citations: doi:10.1007/JHEP11(2022)018 doi:10.3204/PUBDB-2022-07227

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 ; Boundary Quantum Field Theory ; Renormalization Group ; Scale and Conformal Symmetries

Classification:

ddc:530

Note: 54 pages, 11 figures

Contributing Institute(s):

Theorie-Gruppe (T)

Research Program(s):

Experiment(s):

No specific instrument

Appears in the scientific report 2022

Database coverage:
Medline

;

;

;

;

; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; Nationallizenz