Universality between vectorlike and chiral quiver gauge theories: anomalies and domain walls
Abstract
We study lowenergy dynamics of [SU(N )] ^{K} chiral quiver gauge theories in connection with N = 1 super YangMills (SYM) theory, and quantum chromodynamics with bifundamental 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 lowenergy 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 1form 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 doubletrace deformation. Symmetry and anomaly of oddK theories are the same as those of the N = 1 SYM, and the onesmore »
 Authors:

 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:
 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 10298479
 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 vectorlike 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 vectorlike 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 vectorlike 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 vectorlike and chiral quiver gauge theories: anomalies and domain walls},
author = {Sulejmanpasic, Tin and Tanizaki, Yuya and Ünsal, Mithat},
abstractNote = {We study lowenergy dynamics of [SU(N )]K chiral quiver gauge theories in connection with N = 1 super YangMills (SYM) theory, and quantum chromodynamics with bifundamental 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 lowenergy 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 1form 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 doubletrace deformation. Symmetry and anomaly of oddK theories are the same as those of the N = 1 SYM, and the ones of evenK theories are same as those of QCD(BF). We unveil why there exists universality between vectorlike 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 = {10298479},
number = 6,
volume = 2020,
place = {United States},
year = {2020},
month = {6}
}
Works referenced in this record:
(De)Constructing Dimensions
journal, May 2001
 ArkaniHamed, Nima; Cohen, Andrew G.; Georgi, Howard
 Physical Review Letters, Vol. 86, Issue 21
Braves and the dynamics of QCD
journal, December 1997
 Witten, Edward
 Nuclear Physics B, Vol. 507, Issue 3
An L2Index Theorem for Dirac Operators on S1×R3
journal, October 2000
 Nye, Tom M. W.; Singer, Michael A.
 Journal of Functional Analysis, Vol. 177, Issue 1
Selfconjugate QCD
journal, October 2019
 Anber, Mohamed M.
 Journal of High Energy Physics, Vol. 2019, Issue 10
Parity Conservation in Quantum Chromodynamics
journal, August 1984
 Vafa, Cumrun; Witten, Edward
 Physical Review Letters, Vol. 53, Issue 6
Global aspects of current algebra
journal, August 1983
 Witten, Edward
 Nuclear Physics B, Vol. 223, Issue 2
Strings, monopoles, and gauge fields
journal, December 1974
 Nambu, Y.
 Physical Review D, Vol. 10, Issue 12
Dynamical generation of supersymmetry
journal, March 1984
 Kaplan, David B.
 Physics Letters B, Vol. 136, Issue 3