On phases of 3d N=2 Chern-Simons-matter theories

We investigate phases of 3d N=2 Chern-Simons-matter theories, extending to three dimensions the celebrated correspondence between 2d gauged Wess-Zumino-Witten (GWZW) models and non-linear sigma models (NLSMs) with geometric targets. We find that although the correspondence in 3d and 2d are closely r...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Wei Gu, Du Pei, Ming Zhang
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/782d80006b7848a68aacd318bc03c76e
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:782d80006b7848a68aacd318bc03c76e
record_format	dspace
spelling	oai:doaj.org-article:782d80006b7848a68aacd318bc03c76e2021-12-04T04:32:58ZOn phases of 3d N=2 Chern-Simons-matter theories0550-321310.1016/j.nuclphysb.2021.115604https://doaj.org/article/782d80006b7848a68aacd318bc03c76e2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0550321321003011https://doaj.org/toc/0550-3213We investigate phases of 3d N=2 Chern-Simons-matter theories, extending to three dimensions the celebrated correspondence between 2d gauged Wess-Zumino-Witten (GWZW) models and non-linear sigma models (NLSMs) with geometric targets. We find that although the correspondence in 3d and 2d are closely related by circle compactification, an important subtlety arises in this process, changing the phase structure of the 3d theory. Namely, the effective theory obtained from the circle compactification of a phase of a 3d N=2 gauge theory is, in general, different from the phase of the 3d N=2 theory on R2×S1, which means taking phases of a 3d gauge theory does not necessarily commute with compactification. We compute the Witten index of each effective theory to check this observation. Furthermore, when the matter fields have the same non-minimal charges, the 3d N=2 Chern-Simons-matter theory with a proper Chern-Simons level will decompose into several identical 2d gauged linear sigma models (GLSMs) for the same target upon reduction to 2d. To illustrate this phenomenon, we investigate how vacua of the 3d gauge theory for a weighted projective space WP[l,⋯,l] move on the field space when we change the radius of S1.Wei GuDu PeiMing ZhangElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 973, Iss , Pp 115604- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Wei Gu Du Pei Ming Zhang On phases of 3d N=2 Chern-Simons-matter theories
description	We investigate phases of 3d N=2 Chern-Simons-matter theories, extending to three dimensions the celebrated correspondence between 2d gauged Wess-Zumino-Witten (GWZW) models and non-linear sigma models (NLSMs) with geometric targets. We find that although the correspondence in 3d and 2d are closely related by circle compactification, an important subtlety arises in this process, changing the phase structure of the 3d theory. Namely, the effective theory obtained from the circle compactification of a phase of a 3d N=2 gauge theory is, in general, different from the phase of the 3d N=2 theory on R2×S1, which means taking phases of a 3d gauge theory does not necessarily commute with compactification. We compute the Witten index of each effective theory to check this observation. Furthermore, when the matter fields have the same non-minimal charges, the 3d N=2 Chern-Simons-matter theory with a proper Chern-Simons level will decompose into several identical 2d gauged linear sigma models (GLSMs) for the same target upon reduction to 2d. To illustrate this phenomenon, we investigate how vacua of the 3d gauge theory for a weighted projective space WP[l,⋯,l] move on the field space when we change the radius of S1.
format	article
author	Wei Gu Du Pei Ming Zhang
author_facet	Wei Gu Du Pei Ming Zhang
author_sort	Wei Gu
title	On phases of 3d N=2 Chern-Simons-matter theories
title_short	On phases of 3d N=2 Chern-Simons-matter theories
title_full	On phases of 3d N=2 Chern-Simons-matter theories
title_fullStr	On phases of 3d N=2 Chern-Simons-matter theories
title_full_unstemmed	On phases of 3d N=2 Chern-Simons-matter theories
title_sort	on phases of 3d n=2 chern-simons-matter theories
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/782d80006b7848a68aacd318bc03c76e
work_keys_str_mv	AT weigu onphasesof3dn2chernsimonsmattertheories AT dupei onphasesof3dn2chernsimonsmattertheories AT mingzhang onphasesof3dn2chernsimonsmattertheories
_version_	1718373038639022080

On phases of 3d N=2 Chern-Simons-matter theories

Ejemplares similares