Bootstrapping 3D fermions with global symmetries

doi:10.1007/jhep01(2018)036

Title: Bootstrapping 3D fermions with global symmetries

Full Record
Other Related Research

Abstract

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.

Authors:

Iliesiu, Luca ^[1]; Kos, Filip ^[2]; Poland, David ^[3]; Pufu, Silviu S. ^[1]; Simmons-Duffin, David ^[4]

Princeton Univ., NJ (United States). Joseph Henry Lab.
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
Yale Univ., New Haven, CT (United States). Dept. of Physics
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:: 2018-01-09

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.

Copy to clipboard


                    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.

Copy to clipboard


                    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.

Copy to clipboard


                    
@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}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

DOI: 10.1007/jhep01(2018)036

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 17 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Bootstrapping 3D fermions

Journal Article Iliesiu, Luca ; Kos, Filip ; Poland, David ; ... - Journal of High Energy Physics (Online)

We study the conformal bootstrap for a 4-point function of fermions 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.
Cited by 38
DOI: 10.1007/JHEP03(2016)120

Full Text Available
Bootstrapping mixed correlators in the 3D Ising model

Journal Article Kos, Filip ; Poland, David ; Simmons-Duffin, David - Journal of High Energy Physics (Online)

We study the conformal bootstrap for systems of correlators involving nonidentical operators. The constraints of crossing symmetry and unitarity for such mixed correlators can be phrased in the language of semidefinite programming. We apply this formalism to the simplest system of mixed correlators in 3D CFTs with a Z ₂ global symmetry. For the leading Z ₂-odd operator σ and Z ₂-even operator ϵ, we obtain numerical constraints on the allowed dimensions (Δ _σ , Δ _ϵ ) assuming that σ and ϵ are the only relevant scalars in the theory. These constraints yield a small closed region in (Δmore »« less
Cited by 110
DOI: 10.1007/JHEP11(2014)109

Full Text Available
Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries

Journal Article Son, Jun Ho ; Chen, Jing -Yuan ; Raghu, S. - Journal of High Energy Physics (Online)

We generalize our previous lattice construction of the abelian bosonization duality in 2 + 1 dimensions to the entire web of dualities as well as the N_f = 2 self-duality, via the lattice implementation of a set of modular transformations in the theory space. The microscopic construction provides explicit operator mappings, and allows the manifestation of some hidden symmetries. It also exposes certain caveats and implicit assumptions beneath the usual application of the modular transformations to generate the web of dualities. Lastly, we make brief comments on the non-relativistic limit of the dualities.
DOI: 10.1007/jhep06(2019)038

Full Text Available
Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography

Journal Article Grozdanov, Sašo ; Poovuttikul, Napat - Physical Review D

In this work, we show how states with conserved numbers of dynamical defects (strings, domain walls, etc.) can be understood as possessing generalized global symmetries even when the microscopic origins of these symmetries are unknown. Using this philosophy, we build an effective theory of a 2 + 1 -dimensional fluid state with two perpendicular sets of immersed elastic line defects. When the number of defects is independently conserved in each set, then the state possesses two one-form symmetries. Normally, such viscoelastic states are described as fluids coupled to Goldstone bosons associated with spontaneous breaking of translational symmetry caused by themore »« less
Cited by 1
DOI: 10.1103/physrevd.97.106005

Full Text Available
Generalized global symmetries

Journal Article Gaiotto, Davide ; Kapustin, Anton ; Seiberg, Nathan ; ... - Journal of High Energy Physics (Online)

A q-form global symmetry is a global symmetry for which the charged operators are of space-time dimension q; e.g. Wilson lines, surface defects, etc., and the charged excitations have q spatial dimensions; e.g. strings, membranes, etc. Many of the properties of ordinary global symmetries (q = 0) apply here. They lead to Ward identities and hence to selection rules on amplitudes. Such global symmetries can be coupled to classical background fields and they can be gauged by summing over these classical fields. These generalized global symmetries can be spontaneously broken (either completely or to a sub-group). They can also havemore »« less
Cited by 105
DOI: 10.1007/JHEP02(2015)172

Full Text Available

Similar Records