Phases Of Adjoint QCD$$_3$$ And Dualities
Abstract
We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the theory as a function of the gauge group, the Chern-Simons level k , and the fermion mass. We propose an inherently quantum mechanical phase of adjoint QCD with small enough k , where the infrared is described by a certain Topological Quantum Field Theory (TQFT). For a special choice of the mass, the theory has {\cal N}=1 supersymmetry. There this TQFT is accompanied by a massless Majorana fermion – a Goldstino signaling spontaneous supersymmetry breaking. Our analysis leads us to conjecture a number of new infrared fermion-fermion dualities involving SU , SO , and Sp gauge theories. It also leads us to suggest a phase diagram of SO/Sp gauge theories with a fermion in the traceless symmetric/antisymmetric tensor representation of the gauge group.
- Authors:
-
- Perimeter Institute
- Weizmann Institute of Science, Stony Brook University
- Institute for Advanced Study, Princeton University
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1461211
- Grant/Contract Number:
- SC0009988
- Resource Type:
- Published Article
- Journal Name:
- SciPost Physics Proceedings
- Additional Journal Information:
- Journal Name: SciPost Physics Proceedings Journal Volume: 5 Journal Issue: 1; Journal ID: ISSN 2542-4653
- Publisher:
- Stichting SciPost
- Country of Publication:
- Netherlands
- Language:
- English
Citation Formats
Gomis, Jaume, Komargodski, Zohar, and Seiberg, Nathan. Phases Of Adjoint QCD$_3$ And Dualities. Netherlands: N. p., 2018.
Web. doi:10.21468/SciPostPhys.5.1.007.
Gomis, Jaume, Komargodski, Zohar, & Seiberg, Nathan. Phases Of Adjoint QCD$_3$ And Dualities. Netherlands. https://doi.org/10.21468/SciPostPhys.5.1.007
Gomis, Jaume, Komargodski, Zohar, and Seiberg, Nathan. Mon .
"Phases Of Adjoint QCD$_3$ And Dualities". Netherlands. https://doi.org/10.21468/SciPostPhys.5.1.007.
@article{osti_1461211,
title = {Phases Of Adjoint QCD$_3$ And Dualities},
author = {Gomis, Jaume and Komargodski, Zohar and Seiberg, Nathan},
abstractNote = {We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the theory as a function of the gauge group, the Chern-Simons level k k , and the fermion mass. We propose an inherently quantum mechanical phase of adjoint QCD with small enough k k , where the infrared is described by a certain Topological Quantum Field Theory (TQFT). For a special choice of the mass, the theory has {\cal N}=1 supersymmetry. There this TQFT is accompanied by a massless Majorana fermion – a Goldstino signaling spontaneous supersymmetry breaking. Our analysis leads us to conjecture a number of new infrared fermion-fermion dualities involving SU S U , SO S O , and Sp S p gauge theories. It also leads us to suggest a phase diagram of SO/Sp S O / S p gauge theories with a fermion in the traceless symmetric/antisymmetric tensor representation of the gauge group.},
doi = {10.21468/SciPostPhys.5.1.007},
journal = {SciPost Physics Proceedings},
number = 1,
volume = 5,
place = {Netherlands},
year = {2018},
month = {7}
}
https://doi.org/10.21468/SciPostPhys.5.1.007
Web of Science
Works referenced in this record:
Chern Simons duality with a fundamental boson and fermion
journal, November 2013
- Jain, Sachin; Minwalla, Shiraz; Yokoyama, Shuichi
- Journal of High Energy Physics, Vol. 2013, Issue 11
Bosonization and mirror symmetry
journal, October 2016
- Kachru, Shamit; Mulligan, Michael; Torroba, Gonzalo
- Physical Review D, Vol. 94, Issue 8
Theta, time reversal and temperature
journal, May 2017
- Gaiotto, Davide; Kapustin, Anton; Komargodski, Zohar
- Journal of High Energy Physics, Vol. 2017, Issue 5
Anomaly Indicators for Time-Reversal Symmetric Topological Orders
journal, September 2017
- Wang, Chenjie; Levin, Michael
- Physical Review Letters, Vol. 119, Issue 13
Baryons, monopoles and dualities in Chern-Simons-matter theories
journal, February 2016
- Aharony, Ofer
- Journal of High Energy Physics, Vol. 2016, Issue 2
The “parity” anomaly on an unorientable manifold
journal, November 2016
- Witten, Edward
- Physical Review B, Vol. 94, Issue 19
Parity Conservation in Quantum Chromodynamics
journal, August 1984
- Vafa, Cumrun; Witten, Edward
- Physical Review Letters, Vol. 53, Issue 6
Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions
journal, February 2016
- Hsieh, Chang-Tse; Cho, Gil Young; Ryu, Shinsei
- Physical Review B, Vol. 93, Issue 7
Generalized global symmetries
journal, February 2015
- Gaiotto, Davide; Kapustin, Anton; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2015, Issue 2
The Chern-Simons coefficient in supersymmetric Yang-Mills Chern-Simons theories
journal, April 1996
- Kao, Hsien-Chung; Lee, Kimyeong; Lee, Taejin
- Physics Letters B, Vol. 373, Issue 1-3
Duality and bosonization of -dimensional Majorana fermions
journal, May 2017
- Metlitski, Max A.; Vishwanath, Ashvin; Xu, Cenke
- Physical Review B, Vol. 95, Issue 20
Fermion path integrals and topological phases
journal, July 2016
- Witten, Edward
- Reviews of Modern Physics, Vol. 88, Issue 3
Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions
journal, January 2018
- Gaiotto, Davide; Komargodski, Zohar; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2018, Issue 1
Embedding three-dimensional bosonization dualities into string theory
journal, December 2017
- Jensen, Kristan; Karch, Andreas
- Journal of High Energy Physics, Vol. 2017, Issue 12
Topological mass term for gravity induced by matter
journal, October 1986
- Van Der Bij, J. J.; Pisarski, Robert D.; Rao, Sumathi
- Physics Letters B, Vol. 179, Issue 1-2
Microscopic Theory of Surface Topological Order for Topological Crystalline Superconductors
journal, January 2018
- Cheng, Meng
- Physical Review Letters, Vol. 120, Issue 3
Contact terms, unitarity, and F -maximization in three-dimensional superconformal theories
journal, October 2012
- Closset, Cyril; Dumitrescu, Thomas T.; Festuccia, Guido
- Journal of High Energy Physics, Vol. 2012, Issue 10
Comments on Chern-Simons contact terms in three dimensions
journal, September 2012
- Closset, Cyril; Dumitrescu, Thomas T.; Festuccia, Guido
- Journal of High Energy Physics, Vol. 2012, Issue 9
Coupling a QFT to a TQFT and duality
journal, April 2014
- Kapustin, Anton; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2014, Issue 4
Fermionic symmetry protected topological phases and cobordisms
journal, December 2015
- Kapustin, Anton; Thorngren, Ryan; Turzillo, Alex
- Journal of High Energy Physics, Vol. 2015, Issue 12
Gauge Noninvariance and Parity Nonconservation of Three-Dimensional Fermions
journal, January 1984
- Redlich, A. N.
- Physical Review Letters, Vol. 52, Issue 1
Particle-vortex duality in topological insulators and superconductors
journal, May 2017
- Murugan, Jeff; Nastase, Horatiu
- Journal of High Energy Physics, Vol. 2017, Issue 5
Gapped boundary phases of topological insulators via weak coupling
journal, November 2016
- Seiberg, Nathan; Witten, Edward
- Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12
On time-reversal anomaly of 2+1d topological phases
journal, March 2017
- Tachikawa, Yuji; Yonekura, Kazuya
- Progress of Theoretical and Experimental Physics, Vol. 2017, Issue 3
Naturality in conformal field theory
journal, January 1989
- Moore, Gregory; Seiberg, Nathan
- Nuclear Physics B, Vol. 313, Issue 1
On SUSY breaking and χSB from string duals
journal, March 2002
- Gomis, Jaume
- Nuclear Physics B, Vol. 624, Issue 1-2
Parity violation and gauge noninvariance of the effective gauge field action in three dimensions
journal, May 1984
- Redlich, A. N.
- Physical Review D, Vol. 29, Issue 10
A symmetry breaking scenario for QCD3
journal, January 2018
- Komargodski, Zohar; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2018, Issue 1
More Abelian dualities in 2 + 1 dimensions
journal, January 2017
- Karch, Andreas; Robinson, Brandon; Tong, David
- Journal of High Energy Physics, Vol. 2017, Issue 1
The supergravity dual of a theory with dynamical supersymmetry breaking
journal, September 2001
- Maldacena, Juan; Nastase, Horatiu
- Journal of High Energy Physics, Vol. 2001, Issue 09
Derivation of the Time-Reversal Anomaly for ( )-Dimensional Topological Phases
journal, September 2017
- Tachikawa, Yuji; Yonekura, Kazuya
- Physical Review Letters, Vol. 119, Issue 11
Comments on global symmetries, anomalies, and duality in (2 + 1)d
journal, April 2017
- Benini, Francesco; Hsin, Po-Shen; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2017, Issue 4
Interacting topological phases and modular invariance
journal, June 2012
- Ryu, Shinsei; Zhang, Shou-Cheng
- Physical Review B, Vol. 85, Issue 24
A duality web in dimensions and condensed matter physics
journal, November 2016
- Seiberg, Nathan; Senthil, T.; Wang, Chong
- Annals of Physics, Vol. 374
Symmetry enforced non-Abelian topological order at the surface of a topological insulator
journal, April 2014
- Chen, Xie; Fidkowski, Lukasz; Vishwanath, Ashvin
- Physical Review B, Vol. 89, Issue 16
Level/rank duality and Chern-Simons-matter theories
journal, September 2016
- Hsin, Po-Shen; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2016, Issue 9
Nonsupersymmetric Dualities from Mirror Symmetry
journal, January 2017
- Kachru, Shamit; Mulligan, Michael; Torroba, Gonzalo
- Physical Review Letters, Vol. 118, Issue 1
Erratum: Interacting fermionic topological insulators/superconductors in three dimensions [Phys. Rev. B 89 , 195124 (2014)]
journal, June 2015
- Wang, Chong; Senthil, T.
- Physical Review B, Vol. 91, Issue 23
State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter
journal, April 2017
- Bhardwaj, Lakshya; Gaiotto, Davide; Kapustin, Anton
- Journal of High Energy Physics, Vol. 2017, Issue 4
Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model
journal, November 2013
- Fidkowski, Lukasz; Chen, Xie; Vishwanath, Ashvin
- Physical Review X, Vol. 3, Issue 4
Interacting fermionic topological insulators/superconductors in three dimensions
journal, May 2014
- Wang, Chong; Senthil, T.
- Physical Review B, Vol. 89, Issue 19
Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
journal, January 2018
- Cordova, Clay; Hsin, Po-Shen; Seiberg, Nathan
- SciPost Physics, Vol. 4, Issue 4
Braiding statistics approach to symmetry-protected topological phases
journal, September 2012
- Levin, Michael; Gu, Zheng-Cheng
- Physical Review B, Vol. 86, Issue 11
Taming the conformal zoo
journal, April 1989
- Moore, Gregory; Seiberg, Nathan
- Physics Letters B, Vol. 220, Issue 3
Bosonizing three-dimensional quiver gauge theories
journal, November 2017
- Jensen, Kristan; Karch, Andreas
- Journal of High Energy Physics, Vol. 2017, Issue 11
3d dualities from 4d dualities for orthogonal groups
journal, August 2013
- Aharony, Ofer; Razamat, Shlomo S.; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2013, Issue 8
Particle-Vortex Duality from 3D Bosonization
journal, September 2016
- Karch, Andreas; Tong, David
- Physical Review X, Vol. 6, Issue 3
Spin structures in string theory
journal, October 1986
- Seiberg, N.; Witten, E.
- Nuclear Physics B, Vol. 276, Issue 2
Axial-Anomaly-Induced Fermion Fractionization and Effective Gauge-Theory Actions in Odd-Dimensional Space-Times
journal, December 1983
- Niemi, A. J.; Semenoff, G. W.
- Physical Review Letters, Vol. 51, Issue 23
Non-abelian 3D bosonization and quantum Hall states
journal, December 2016
- Radičević, Ðorđe; Tong, David; Turner, Carl
- Journal of High Energy Physics, Vol. 2016, Issue 12
Chern-Simons-matter dualities with SO and USp gauge groups
journal, February 2017
- Aharony, Ofer; Benini, Francesco; Hsin, Po-Shen
- Journal of High Energy Physics, Vol. 2017, Issue 2