Tests of Seiberg-like dualities in three dimensions

Kapustin, Anton; Willett, Brian; Yaakov, Itamar

doi:10.1007/jhep08(2020)114

Tests of Seiberg-like dualities in three dimensions

Journal Article · Mon Aug 24 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2020)114· OSTI ID:1800768

Kapustin, Anton ^[1]; Willett, Brian ^[2]; Yaakov, Itamar ^[2]

California Institute of Technology (CalTech), Pasadena, CA (United States); Hebrew Univ. of Jerusalem (Israel). Inst. for Advanced Studies; OSTI
California Institute of Technology (CalTech), Pasadena, CA (United States)

We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality. We compare the partition functions of dual theories deformed by real mass terms and FI parameters. We find that Seiberg-like duality for N = 3 Chern-Simons gauge theories proposed by Giveon and Kutasov holds on the level of partition functions and is closely related to level-rank duality in pure Chern-Simons theory. We also clarify the relationship between the Giveon-Kutasov duality and a duality in theories of fractional M2 branes and propose a generalization of the latter. Our analysis also confirms previously known results concerning decoupled free sectors in N = 4 gauge theories realized by monopole operators.

Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-92ER40701

OSTI ID:: 1800768

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2020; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (13)

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Supersymmetry enhancement by monopole operators Bashkirov, Denis; Kapustin, Anton Journal of High Energy Physics, Vol. 2011, Issue 5 https://doi.org/10.1007/JHEP05(2011)015	journal	May 2011
Nonperturbative tests of three-dimensional dualities Kapustin, Anton; Willett, Brian; Yaakov, Itamar Journal of High Energy Physics, Vol. 2010, Issue 10 https://doi.org/10.1007/JHEP10(2010)013	journal	October 2010
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Non-Perturbative Schwinger-Dyson Equations for 3d ${\cal N} = 4$ Gauge Theories Haouzi, Nathan arXiv https://doi.org/10.48550/arxiv.2009.08989	preprint	January 2020

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