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000481733 0247_ $$2arXiv$$aarXiv:2208.11715
000481733 0247_ $$2datacite_doi$$a10.3204/PUBDB-2022-04552
000481733 037__ $$aPUBDB-2022-04552
000481733 041__ $$aEnglish
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000481733 088__ $$2arXiv$$aarXiv:2208.11715
000481733 1001_ $$0P:(DE-H253)PIP1086631$$aGimenez-Grau, Aleix$$b0
000481733 245__ $$aBootstrapping line defects with $O(2)$ global symmetry
000481733 260__ $$c2022
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000481733 500__ $$a54 pages, 11 figures
000481733 520__ $$aWe use the numerical bootstrap to study conformal line defects with $O(2)$ global symmetry. Our results are very general and capture in particular line defects originating from bulk CFTs with a global symmetry, which can either be preserved or partially broken by the presence of the defect. We begin with an agnostic approach and perform a systematic bootstrap study of correlation functions between two canonical operators on the defect: the displacement and the tilt. We then focus on two interesting theories: a monodromy line defect and a localized magnetic field line defect. To this end, we combine the numerical bootstrap with the $\varepsilon$-expansion, where we complement existing results in the literature with additional calculations. For the monodromy defect our numerical results are consistent with expectations, with known analytic solutions sitting inside our numerical bounds. For the localized magnetic field line defect our plots show a series of intriguing cusps which we explore.
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000481733 650_7 $$2INSPIRE$$asymmetry, global
000481733 650_7 $$2INSPIRE$$afield theory, conformal
000481733 650_7 $$2INSPIRE$$adefect
000481733 650_7 $$2INSPIRE$$abootstrap
000481733 650_7 $$2INSPIRE$$amagnetic field
000481733 650_7 $$2INSPIRE$$amonodromy
000481733 650_7 $$2INSPIRE$$aO(2)
000481733 650_7 $$2INSPIRE$$acapture
000481733 650_7 $$2INSPIRE$$acorrelation function
000481733 650_7 $$2INSPIRE$$anumerical calculations
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000481733 7001_ $$0E.Lauria.1$$aLauria, Edoardo$$b1
000481733 7001_ $$0P:(DE-H253)PIP1031480$$aLiendo, Pedro$$b2
000481733 7001_ $$0P:(DE-H253)PIP1090382$$avan Vliet, Philine$$b3$$eCorresponding author$$udesy
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000481733 9141_ $$y2022
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