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DC Field | Value | Language |
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dc.contributor.author | Chatterjee, Saikat | en_US |
dc.contributor.author | Chaudhuri, Adittya | en_US |
dc.contributor.author | KOUSHIK, PRAPHULLA | en_US |
dc.date.accessioned | 2022-06-24T10:26:15Z | |
dc.date.available | 2022-06-24T10:26:15Z | |
dc.date.issued | 2022-06 | en_US |
dc.identifier.citation | Journal of Geometry and Physics, 176, 104509. | en_US |
dc.identifier.issn | 0393-0440 | en_US |
dc.identifier.issn | 1879-1662 | en_US |
dc.identifier.uri | https://doi.org/10.1016/j.geomphys.2022.104509 | en_US |
dc.identifier.uri | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7160 | |
dc.description.abstract | In this paper, we introduce a notion of a principal 2-bundle over a Lie groupoid. For such principal 2-bundles, we have produced a short exact sequence of VB-groupoids, namely, the Atiyah sequence. Two notions of connection structures viz. strict connections and semi-strict connections on a principal 2-bundle arising respectively, from a retraction of the Atiyah sequence and a retraction up to a natural isomorphism have been introduced. We have constructed a class of principal -bundles and connections from a given principal -bundle over with connection. An existence criterion for the connections on a principal 2-bundle over a proper, étale Lie groupoid is proposed. We have studied the action of the 2-group of gauge transformations on the category of strict and semi-strict connections. Finally, we have observed an extended symmetry of the category of semi-strict connections. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier B.V. | en_US |
dc.subject | Principal 2-bundles | en_US |
dc.subject | Atiyah sequence | en_US |
dc.subject | Connections | en_US |
dc.subject | Gauge transformations | en_US |
dc.subject | Lie groupoids | en_US |
dc.subject | 2022-JUN-WEEK5 | en_US |
dc.subject | TOC-JUN-2022 | en_US |
dc.subject | 2022 | en_US |
dc.title | Atiyah sequence and gauge transformations of a principal 2-bundle over a Lie groupoid | en_US |
dc.type | Article | en_US |
dc.contributor.department | Dept. of Mathematics | en_US |
dc.identifier.sourcetitle | Journal of Geometry and Physics | en_US |
dc.publication.originofpublisher | Foreign | en_US |
Appears in Collections: | JOURNAL ARTICLES |
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