Level/rank duality and Chern-Simons-matter theories

Hsin, Po-Shen; Seiberg, Nathan

doi:10.1007/JHEP09(2016)095

Title: Level/rank duality and Chern-Simons-matter theories

Journal Article · Fri Sep 16 04:00:00 UTC 2016 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP09(2016)095 · OSTI ID:1434620

Hsin, Po-Shen ^[1]; Seiberg, Nathan ^[2]

Princeton Univ., NJ (United States); Princeton University, School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, USA
Princeton Univ., NJ (United States)

We discuss in detail level/rank duality in three-dimensional Chern-Simons theories and various related dualities in three-dimensional Chern-Simons-matter theories. We couple the dual Lagrangians to appropriate background fields (including gauge fields, spin c connections and the metric). The non-trivial maps between the currents and the line operators in the dual theories is accounted for by mixing of these fields. In order for the duality to be valid we must add finite counterterms depending on these background fields. This analysis allows us to resolve a number of puzzles with these dualities, to provide derivations of some of them, and to find new consistency conditions and relations between them. In addition, we find new level/rank dualities of topological Chern-Simons theories and new dualities of Chern-Simons-matter theories, including new boson/boson and fermion/fermion dualities.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009988

OSTI ID:: 1434620

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2016; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups Aharony, Ofer; Benini, Francesco; Hsin, Po-Shen arXiv https://doi.org/10.48550/arxiv.1611.07874	text	January 2016
Theta, Time Reversal, and Temperature Gaiotto, Davide; Kapustin, Anton; Komargodski, Zohar arXiv https://doi.org/10.48550/arxiv.1703.00501	text	January 2017
Symmetry and duality in bosonization of two-dimensional Dirac fermions Mross, David F.; Alicea, Jason; Motrunich, Olexei I. arXiv https://doi.org/10.48550/arxiv.1705.01106	text	January 2017
Duality between the deconfined quantum-critical point and the bosonic topological transition Qin, Yan Qi; He, Yuan-Yao; You, Yi-Zhuang arXiv https://doi.org/10.48550/arxiv.1705.10670	text	January 2017
A Symmetry Breaking Scenario for QCD$_3$ Komargodski, Zohar; Seiberg, Nathan arXiv https://doi.org/10.48550/arxiv.1706.08755	text	January 2017
The 3d Stress-Tensor Bootstrap Dymarsky, Anatoly; Kos, Filip; Kravchuk, Petr arXiv https://doi.org/10.48550/arxiv.1708.05718	text	January 2017
Embedding three-dimensional bosonization dualities into string theory Jensen, Kristan; Karch, Andreas arXiv https://doi.org/10.48550/arxiv.1709.07872	text	January 2017
Symmetry enriched U(1) quantum spin liquids Zou, Liujun; Wang, Chong; Senthil, T. arXiv https://doi.org/10.48550/arxiv.1710.00743	text	January 2017
Deconfined Quantum Critical Point on the Triangular Lattice Jian, Chao-Ming; Thomson, Alex; Rasmussen, Alex arXiv https://doi.org/10.48550/arxiv.1710.04668	text	January 2017
Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups Cordova, Clay; Hsin, Po-Shen; Seiberg, Nathan arXiv https://doi.org/10.48550/arxiv.1711.10008	text	January 2017
On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit Charan, V. Guru; Prakash, Shiroman arXiv https://doi.org/10.48550/arxiv.1711.11300	text	January 2017
Three-dimensional dualities with bosons and fermions Benini, Francesco arXiv https://doi.org/10.48550/arxiv.1712.00020	text	January 2017
A master bosonization duality Jensen, Kristan arXiv https://doi.org/10.48550/arxiv.1712.04933	text	January 2017
Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point Ma, Nvsen; Sun, Guang-Yu; You, Yi-Zhuang arXiv https://doi.org/10.48550/arxiv.1803.01180	text	January 2018
$\mathcal{N}{=}1$ dualities in 2+1 dimensions Benini, Francesco; Benvenuti, Sergio arXiv https://doi.org/10.48550/arxiv.1803.01784	text	January 2018
$QCD_3$ Dualities and the F-Theorem Sharon, Adar arXiv https://doi.org/10.48550/arxiv.1803.06983	text	January 2018
Master 3d Bosonization Duality with Boundaries Aitken, Kyle; Karch, Andreas; Robinson, Brandon arXiv https://doi.org/10.48550/arxiv.1803.08507	text	January 2018
The Conformal Bootstrap: Theory, Numerical Techniques, and Applications Poland, David; Rychkov, Slava; Vichi, Alessandro arXiv https://doi.org/10.48550/arxiv.1805.04405	text	January 2018
Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories Dey, Anshuman; Halder, Indranil; Jain, Sachin arXiv https://doi.org/10.48550/arxiv.1808.04415	text	January 2018
Living on the walls of super-QCD Bashmakov, Vladimir; Benini, Francesco; Benvenuti, Sergio arXiv https://doi.org/10.48550/arxiv.1812.04645	text	January 2018
Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d Hsin, Po-Shen; Lam, Ho Tat; Seiberg, Nathan arXiv https://doi.org/10.48550/arxiv.1812.04716	text	January 2018
Exceptional Chern-Simons-Matter Dualities Cordova, Clay; Hsin, Po-Shen; Ohmori, Kantaro arXiv https://doi.org/10.48550/arxiv.1812.11705	text	January 2018
Easy-plane QED$_3$'s in the large $N_f$ limit Benvenuti, Sergio; Khachatryan, Hrachya arXiv https://doi.org/10.48550/arxiv.1902.05767	text	January 2019
Emergent Symmetry and Conserved Current at a One Dimensional Incarnation of Deconfined Quantum Critical Point Huang, Rui-Zhen; Lu, Da-Chuan; You, Yi-Zhuang arXiv https://doi.org/10.48550/arxiv.1904.00021	text	January 2019
Phases of Flavor Broken QCD$_3$ Baumgartner, Andrew arXiv https://doi.org/10.48550/arxiv.1905.04267	text	January 2019
A UV perspective on mixed anomalies at critical points between bosonic symmetry-protected phases Bultinck, Nick arXiv https://doi.org/10.48550/arxiv.1905.05790	text	January 2019
Anomalies in the Space of Coupling Constants and Their Dynamical Applications I Cordova, Clay; Freed, Daniel S.; Lam, Ho Tat arXiv https://doi.org/10.48550/arxiv.1905.09315	text	January 2019
Anomalies in the Space of Coupling Constants and Their Dynamical Applications II Cordova, Clay; Freed, Daniel S.; Lam, Ho Tat arXiv https://doi.org/10.48550/arxiv.1905.13361	text	January 2019
New and Old Fermionic Dualities from 3d Bosonization Aitken, Kyle; Choi, Changha; Karch, Andreas arXiv https://doi.org/10.48550/arxiv.1909.04036	text	January 2019

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