Bootstrapping 3D fermions

Iliesiu, Luca; Kos, Filip; Poland, David; Pufu, Silviu S.; Simmons-Duffin, David; Yacoby, Ran

doi:10.1007/JHEP03(2016)120

Title: Bootstrapping 3D fermions

Abstract

We study the conformal bootstrap for a 4-point function of fermions <ψψψψ> in 3D. We first introduce an embedding formalism for 3D spinors and compute the conformal blocks appearing in fermion 4-point functions. Using these results, we find general bounds on the dimensions of operators appearing in the ψ × ψ OPE, and also on the central charge C_T. We observe features in our bounds that coincide with scaling dimensions in the GrossNeveu models at large N. Finally, we also speculate that other features could coincide with a fermionic CFT containing no relevant scalar operators.

Authors:

Iliesiu, Luca ^[1]; Kos, Filip ^[2]; Poland, David ^[2]; Pufu, Silviu S. ^[1]; Simmons-Duffin, David ^[3]; Yacoby, Ran ^[1]

Princeton Univ., NJ (United States). Joseph Henry Lab.
Yale Univ., New Haven, CT (United States). Dept. of Physics
Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences

Publication Date:: Thu Mar 17 00:00:00 EDT 2016

Research Org.:: Institute for Advanced Study, Princeton, NJ (United States); Princeton Univ., NJ (United States); Yale Univ., New Haven, CT (United States)

Sponsoring Org.:: USDOE; National Science Foundation (NSF)

OSTI Identifier:: 1326984

Grant/Contract Number:: SC0009988; PHY-1418069; PHY-1350180; PHY-1066293

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: 2016; Journal Issue: 3; 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; nonperturbative effects

Citation Formats


                    Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S., Simmons-Duffin, David, and Yacoby, Ran. Bootstrapping 3D fermions.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP03(2016)120.

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                    Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S., Simmons-Duffin, David, & Yacoby, Ran. Bootstrapping 3D fermions.  United States.  https://doi.org/10.1007/JHEP03(2016)120

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                    Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S., Simmons-Duffin, David, and Yacoby, Ran. Thu .  
"Bootstrapping 3D fermions".  United States.  https://doi.org/10.1007/JHEP03(2016)120.  https://www.osti.gov/servlets/purl/1326984.

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@article{osti_1326984,

  title        = {Bootstrapping 3D fermions},

  author       = {Iliesiu, Luca and Kos, Filip and Poland, David and Pufu, Silviu S. and Simmons-Duffin, David and Yacoby, Ran},

  abstractNote = {We study the conformal bootstrap for a 4-point function of fermions <ψψψψ> in 3D. We first introduce an embedding formalism for 3D spinors and compute the conformal blocks appearing in fermion 4-point functions. Using these results, we find general bounds on the dimensions of operators appearing in the ψ × ψ OPE, and also on the central charge CT. We observe features in our bounds that coincide with scaling dimensions in the GrossNeveu models at large N. Finally, we also speculate that other features could coincide with a fermionic CFT containing no relevant scalar operators.},

  doi          = {10.1007/JHEP03(2016)120},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 3,

  volume       = 2016,

  place        = {United States},

  year         = {Thu Mar 17 00:00:00 EDT 2016},

  month        = {Thu Mar 17 00:00:00 EDT 2016}

}

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