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Title: Bootstrapping the O(N) archipelago

Abstract

We study 3d CFTs with an O(N) global symmetry using the conformal bootstrap for a system of mixed correlators. Specifically, we consider all nonvanishing scalar four-point functions containing the lowest dimension O(N) vector Φi and the lowest dimension O(N) singlet s, assumed to be the only relevant operators in their symmetry representations. The constraints of crossing symmetry and unitarity for these four-point functions force the scaling dimensions (Δ Φ , Δ s ) to lie inside small islands. Here, we also make rigorous determinations of current two-point functions in the O(2) and O(3) models, with applications to transport in condensed matter systems.

Authors:
 [1];  [1];  [2];  [3]
+ Show Author Affiliations
  1. Yale Univ., New Haven, CT (United States)
  2. Institute for Advanced Study, Princeton, NJ (United States)
  3. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Publication Date:
Research Org.:
Yale Univ., New Haven, CT (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1435150
Grant/Contract Number:  
SC0009988
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal and W Symmetry; Global Symmetries

Citation Formats

Kos, Filip, Poland, David, Simmons-Duffin, David, and Vichi, Alessandro. Bootstrapping the O(N) archipelago. United States: N. p., 2015. Web. doi:10.1007/JHEP11(2015)106.
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Kos, Filip, Poland, David, Simmons-Duffin, David, & Vichi, Alessandro. Bootstrapping the O(N) archipelago. United States. https://doi.org/10.1007/JHEP11(2015)106
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Kos, Filip, Poland, David, Simmons-Duffin, David, and Vichi, Alessandro. Tue . "Bootstrapping the O(N) archipelago". United States. https://doi.org/10.1007/JHEP11(2015)106. https://www.osti.gov/servlets/purl/1435150.
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@article{osti_1435150,
title = {Bootstrapping the O(N) archipelago},
author = {Kos, Filip and Poland, David and Simmons-Duffin, David and Vichi, Alessandro},
abstractNote = {We study 3d CFTs with an O(N) global symmetry using the conformal bootstrap for a system of mixed correlators. Specifically, we consider all nonvanishing scalar four-point functions containing the lowest dimension O(N) vector Φi and the lowest dimension O(N) singlet s, assumed to be the only relevant operators in their symmetry representations. The constraints of crossing symmetry and unitarity for these four-point functions force the scaling dimensions (Δ Φ , Δ s ) to lie inside small islands. Here, we also make rigorous determinations of current two-point functions in the O(2) and O(3) models, with applications to transport in condensed matter systems.},
doi = {10.1007/JHEP11(2015)106},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2015,
place = {United States},
year = {2015},
month = {11}
}
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https://doi.org/10.1007/JHEP11(2015)106
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Critical exponents of the 3d Ising and related models from Conformal Bootstrap
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Universality of Long-Distance AdS Physics from the CFT Bootstrap
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Bootstrapping Mixed Correlators in the 3D Ising Model
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Bounds on OPE Coefficients in 4D Conformal Field Theories
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Lessons from crossing symmetry at large N
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Bootstrapping the Three-Dimensional Supersymmetric Ising Model
text, January 2015

Universal anomalous dimensions at large spin and large twist
text, January 2015

Eikonalization of Conformal Blocks
text, January 2015

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