Bootstrapping the O(N) archipelago

doi:10.1007/JHEP11(2015)106

Title: Bootstrapping the O(N) archipelago

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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 Φ _i 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:

Kos, Filip ^[1]; Poland, David ^[1]; Simmons-Duffin, David ^[2]; Vichi, Alessandro ^[3]

Yale Univ., New Haven, CT (United States)
Institute for Advanced Study, Princeton, NJ (United States)
European Organization for Nuclear Research (CERN), Geneva (Switzerland)

Publication Date:: 2015-11-17

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.  doi: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.  doi: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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DOI: 10.1007/JHEP11(2015)106

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