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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 » 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.« less

Authors:
 [1]; ORCiD logo [2];  [3]
  1. Durham Univ. (United Kingdom). Dept. of Mathematical Sciences
  2. Kyoto Univ. (Japan). Yukawa Inst. for Theoretical Physics; North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics
  3. North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics
Publication Date:
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.
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
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.
@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:

(De)Constructing Dimensions
journal, May 2001


Braves and the dynamics of QCD
journal, December 1997


An L2-Index Theorem for Dirac Operators on S1×R3
journal, October 2000


Self-conjugate QCD
journal, October 2019


Parity Conservation in Quantum Chromodynamics
journal, August 1984


Global aspects of current algebra
journal, August 1983


Strings, monopoles, and gauge fields
journal, December 1974


Dynamical generation of supersymmetry
journal, March 1984