Fusion of conformal defects in four dimensions

Söderberg, Alexander

doi:10.1007/jhep04(2021)087

Cited by 11 publications

(7 citation statements)

References 24 publications

(46 reference statements)

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“…Other works focused on symmetry (twist) defects [27][28][29][30][31] (which are not genuine line defects, since they are attached to a nontrivial topological surface). Finally, we note that correlation functions with two insertions of the line defect (1.3) were recently considered in [32] for a free bulk theory and, after an earlier version of this work appeared, in [33] for the bulk interacting theory.…”

Section: Jhep02(2022)134mentioning

confidence: 93%

Localized magnetic field in the O(N) model

Cuomo

Komargodski

2022

J. High Energ. Phys.

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We consider the critical O(N) model in the presence of an external magnetic field localized in space. This setup can potentially be realized in quantum simulators and in some liquid mixtures. The external field can be understood as a relevant perturbation of the trivial line defect, and thus triggers a defect Renormalization Group (RG) flow. In agreement with the g-theorem, the external localized field leads at long distances to a stable nontrivial defect CFT (DCFT) with g < 1. We obtain several predictions for the corresponding DCFT data in the epsilon expansion and in the large N limit. The analysis of the large N limit involves a new saddle point and, remarkably, the study of fluctuations around it is enabled by recent progress in AdS loop diagrams. Our results are compatible with results from Monte Carlo simulations and we make several predictions that can be tested in the future.

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Section: Jhep02(2022)134mentioning

confidence: 93%

Localized magnetic field in the O(N) model

Cuomo

Komargodski

2022

J. High Energ. Phys.

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“…It would also be interesting to analyze in a semiclassical expansion the fusion of two line defects[115,116],maybe along the lines of earlier studies of OPE coefficients of large charge operators[117]. See[118,119] and references therein for some results on the fusion of defects in similar models.…”

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confidence: 99%

Spin Impurities, Wilson Lines and Semiclassics

Cuomo,

Komargodski,

Mezei

et al. 2022

Preprint

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We consider line defects with large quantum numbers in conformal field theories. First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher O(3) model. For the free scalar triplet, we find a rich phase diagram that includes a perturbative fixed point, a new nonperturbative fixed point, and runaway regimes. To obtain these results, we develop a new semiclassical approach. For the Wilson-Fisher model, we propose an alternative description, which becomes weakly coupled in the large spin limit. This allows us to chart the phase diagram and obtain numerous rigorous predictions for large spin impurities in 2 + 1 dimensional magnets. Finally, we also study 1/2-BPS Wilson lines in large representations of the gauge group in rank-1 N = 2 superconformal field theories. We contrast the results with the qualitative behavior of large spin impurities in magnets.

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“…(34) In this appendix we describe the derivation of (34). The starting point is (33). The first integral corresponds to the bulk contribution, and can be borrowed from [19]…”

Section: A Further Details On the Integrals A1 Fourier Transform Form...mentioning

confidence: 99%

A Scaling Limit for Line and Surface Defects

Rodriguez-Gomez

2022

Preprint

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We study symmetry-breaking line defects in the Wilson-Fisher theory with O(2N + 1) global symmetry near four dimensions and symmetry-preserving surface defects in a cubic model with O(2N ) global symmetry near six dimensions. We introduce a scaling limit inspired by the large charge expansion in Conformal Field Theory. Using this, we compute the beta function for the defect coupling which allows to identify the corresponding Defect Conformal Field Theories. We also compute the correlation function of two parallel defects as well as correlation functions of certain defect operators with large charge under the surviving symmetry.

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Fusion of conformal defects in four dimensions

Cited by 11 publications

References 24 publications

Localized magnetic field in the O(N) model

Localized magnetic field in the O(N) model

Spin Impurities, Wilson Lines and Semiclassics

A Scaling Limit for Line and Surface Defects

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