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Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence

Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence
Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence

We provide a proof for the conjectured equality of the generating function of integrated Higgs and Coulomb branch topological operators in 3d N ≥ 4 gauge theories and the three sphere partition function deformed by mass or FI parameters. The equality is the result of cohomological equivalence and applies to all theories in this class, including ABJM and other generalized Gaiotto-Witten models, and those without an explicit supersymmetric Lagrangian.

Extended Supersymmetry, Supersymmetric Gauge Theory
1126-6708
Guerrini, Luigi
005d7ae6-905e-4d35-99d4-1b70bcbe1272
Penati, Silvia
72c4b885-a3fa-47d0-ab5c-53fb9a2a006e
Yaakov, Itamar
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
Guerrini, Luigi
005d7ae6-905e-4d35-99d4-1b70bcbe1272
Penati, Silvia
72c4b885-a3fa-47d0-ab5c-53fb9a2a006e
Yaakov, Itamar
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e

Guerrini, Luigi, Penati, Silvia and Yaakov, Itamar (2022) Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence. Journal of High Energy Physics, 2022 (4), [171]. (doi:10.1007/JHEP04(2022)171).

Record type: Article

Abstract

We provide a proof for the conjectured equality of the generating function of integrated Higgs and Coulomb branch topological operators in 3d N ≥ 4 gauge theories and the three sphere partition function deformed by mass or FI parameters. The equality is the result of cohomological equivalence and applies to all theories in this class, including ABJM and other generalized Gaiotto-Witten models, and those without an explicit supersymmetric Lagrangian.

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More information

Accepted/In Press date: 5 April 2022
Published date: 27 April 2022
Keywords: Extended Supersymmetry, Supersymmetric Gauge Theory

Identifiers

Local EPrints ID: 473218
URI: http://eprints.soton.ac.uk/id/eprint/473218
ISSN: 1126-6708
PURE UUID: 01ebfa68-b2a1-4433-970e-883707bcb726
ORCID for Itamar Yaakov: ORCID iD orcid.org/0000-0002-4924-2970

Catalogue record

Date deposited: 12 Jan 2023 18:02
Last modified: 17 Mar 2024 04:17

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Contributors

Author: Luigi Guerrini
Author: Silvia Penati
Author: Itamar Yaakov ORCID iD

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