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Title: Bootstrapping 3D fermions with global symmetries

Abstract

We study the conformal bootstrap for 4-point functions of fermions < ψ i ψ j ψ k ψ > in parity-preserving 3d CFTs, where ψ i transforms as a vector under an O(N ) global symmetry. We compute bounds on scaling dimensions and central charges, finding features in our bounds that appear to coincide with the O(N ) symmetric Gross-Neveu-Yukawa fixed points. Our computations are in perfect agreement with the 1/N expansion at large N and allow us to make nontrivial predictions at small N . For values of N for which the Gross-Neveu-Yukawa universality classes are relevant to condensed-matter systems, we compare our results to previous analytic and numerical results.

Authors:
 [1];  [2];  [3];  [1];  [4]
  1. Princeton Univ., NJ (United States). Joseph Henry Lab.
  2. Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics. Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
  3. Yale Univ., New Haven, CT (United States). Dept. of Physics
  4. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences; California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Inst. for Advanced Study, Princeton, NJ (United States); Princeton Univ., NJ (United States); Yale Univ., New Haven, CT (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF); Simons Foundation (United States)
OSTI Identifier:
1494081
Grant/Contract Number:  
AC02-05CH11231; SC0009988; PHY-1418069; PHY-1350180; 488653; 488651; 488657
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: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N expansion; conformal and W symmetry; conformal field theory; global symmetries

Citation Formats

Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S., and Simmons-Duffin, David. Bootstrapping 3D fermions with global symmetries. United States: N. p., 2018. Web. doi:10.1007/jhep01(2018)036.
Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S., & Simmons-Duffin, David. Bootstrapping 3D fermions with global symmetries. United States. doi:10.1007/jhep01(2018)036.
Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S., and Simmons-Duffin, David. Tue . "Bootstrapping 3D fermions with global symmetries". United States. doi:10.1007/jhep01(2018)036. https://www.osti.gov/servlets/purl/1494081.
@article{osti_1494081,
title = {Bootstrapping 3D fermions with global symmetries},
author = {Iliesiu, Luca and Kos, Filip and Poland, David and Pufu, Silviu S. and Simmons-Duffin, David},
abstractNote = {We study the conformal bootstrap for 4-point functions of fermions < ψ i ψ j ψ k ψ ℓ > in parity-preserving 3d CFTs, where ψ i transforms as a vector under an O(N ) global symmetry. We compute bounds on scaling dimensions and central charges, finding features in our bounds that appear to coincide with the O(N ) symmetric Gross-Neveu-Yukawa fixed points. Our computations are in perfect agreement with the 1/N expansion at large N and allow us to make nontrivial predictions at small N . For values of N for which the Gross-Neveu-Yukawa universality classes are relevant to condensed-matter systems, we compare our results to previous analytic and numerical results.},
doi = {10.1007/jhep01(2018)036},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2018,
place = {United States},
year = {2018},
month = {1}
}

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