Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls

doi:https://doi.org/10.1007/JHEP06(2020)173

Title: Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls

Abstract

We study low-energy dynamics of [SU(N )] ^K chiral quiver gauge theories in connection with N = 1 super Yang-Mills (SYM) theory, and quantum chromodynamics with bi-fundamental fermions (QCD(BF)). These theories can be obtained by $$\mathbb Z$$K orbifold projections of N = 1 SU(N K ) SYM theory, but the perturbative planar equivalence does not extend nonperturbatively for K ≥ 3. In order to study low-energy behaviors, we analyze these systems using ’t Hooft anomaly matching and reliable semiclassics on $$\mathbb R$$ ³× S1. Thanks to ’t Hooft anomaly that involves 1-form center symmetry and discrete chiral symmetry, we predict that chiral symmetry must be spontaneously broken in the confinement phase, and there exist N vacua. Theories with even K possess a physical θ angle despite the presence of massless fermions, and we further predict the N -branch structure associated with it; the number of vacua is enhanced to 2N at θ = π due to spontaneous C P breaking. Both of these predictions are explicitly confirmed by reliable semiclassics on $$\mathbb R$$ ³× S ¹ with the double-trace deformation. Symmetry and anomaly of odd-K theories are the same as those of the N = 1 SYM, and the onesmore »« less

Authors:

Sulejmanpasic, Tin ^[1];

^[2]; Ünsal, Mithat ^[3]

Durham Univ. (United Kingdom). Dept. of Mathematical Sciences
Kyoto Univ. (Japan). Yukawa Inst. for Theoretical Physics; North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics
North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics

Publication Date:: 2020-06-29

Research Org.:: North Carolina State Univ., Raleigh, NC (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1646642

Grant/Contract Number:: SC0013036

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Volume: 2020; Journal Issue: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Sulejmanpasic, Tin, Tanizaki, Yuya, and Ünsal, Mithat. Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls.  United States: N. p., 2020. 
        Web.  doi:10.1007/JHEP06(2020)173.

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                    Sulejmanpasic, Tin, Tanizaki, Yuya, & Ünsal, Mithat. Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls.  United States.  https://doi.org/10.1007/JHEP06(2020)173

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                    Sulejmanpasic, Tin, Tanizaki, Yuya, and Ünsal, Mithat. Mon .  
        "Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls".  United States.  https://doi.org/10.1007/JHEP06(2020)173.  https://www.osti.gov/servlets/purl/1646642.

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@article{osti_1646642,

  title        = {Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls},

  author       = {Sulejmanpasic, Tin and Tanizaki, Yuya and Ünsal, Mithat},

  abstractNote = {We study low-energy dynamics of [SU(N )]K chiral quiver gauge theories in connection with N = 1 super Yang-Mills (SYM) theory, and quantum chromodynamics with bi-fundamental fermions (QCD(BF)). These theories can be obtained by $\mathbb Z$K orbifold projections of N = 1 SU(N K ) SYM theory, but the perturbative planar equivalence does not extend nonperturbatively for K ≥ 3. In order to study low-energy behaviors, we analyze these systems using ’t Hooft anomaly matching and reliable semiclassics on $\mathbb R$3× S1. Thanks to ’t Hooft anomaly that involves 1-form center symmetry and discrete chiral symmetry, we predict that chiral symmetry must be spontaneously broken in the confinement phase, and there exist N vacua. Theories with even K possess a physical θ angle despite the presence of massless fermions, and we further predict the N -branch structure associated with it; the number of vacua is enhanced to 2N at θ = π due to spontaneous C P breaking. Both of these predictions are explicitly confirmed by reliable semiclassics on $\mathbb R$3× S1 with the double-trace deformation. Symmetry and anomaly of odd-K theories are the same as those of the N = 1 SYM, and the ones of even-K theories are same as those of QCD(BF). We unveil why there exists universality between vector-like and chiral quiver theories, and conjecture that their ground states can be continuously deformed without quantum phase transitions. We briefly discuss anomaly inflow on the domain walls connecting the vacua of the theory and possible anomaly matching scenarios.},

  doi          = {10.1007/JHEP06(2020)173},

  url          = {https://www.osti.gov/biblio/1646642},
  journal      = {Journal of High Energy Physics (Online)},

  issn         = {1029-8479},

  number       = 6,

  volume       = 2020,

  place        = {United States},

  year         = {2020},

  month        = {6}

}

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Works referenced in this record:

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Self-conjugate QCD
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Anber, Mohamed M.
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Title: Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls

Abstract

Citation Formats

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journal, August 1983

Strings, monopoles, and gauge fields
journal, December 1974

Dynamical generation of supersymmetry
journal, March 1984