Chatzistavrakidis, Athanasios; Deser, Andreas; Jonke, Larisa; Strobl, Thomas (2017) Gauging as constraining: the universal generalised geometry action in two dimensions. In: Proceedings of Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity : PoS(CORFU2016), vol. 292. .
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Abstract
One of the central concepts in modern theoretical physics, gauge symmetry, is typically realised by lifting a finite-dimensional global symmetry group of a given functional to an infinite-dimensional local one by extending the functional to include gauge fields. In this contribution we review the construction of gauged actions for two-dimensional sigma models, considering a more general notion to be gauged, namely that of a (possibly singular) foliation. In particular, the original action does not need to have any global symmetry for this purpose. Moreover, reformulating the ungauged theory by means of auxiliary 1-form fields taking values in the generalised tangent bundle over the target, all possible such gauge theories result from restriction of these fields to take values in (possibly small) Dirac structures. This turns all the remaining 1-form fields into gauge fields and leads to the presence of a local symmetry. We recall all needed mathematical notions, those of (higher) Lie algebroids, Courant algebroids, and Dirac structures.
| Item Type: | Conference or workshop item published in conference proceedings (UNSPECIFIED) | ||||||||||||
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| Uncontrolled Keywords: | Sigma-models ; Gauge theories ; Lie algebroids | ||||||||||||
| Subjects: | NATURAL SCIENCES > Mathematics NATURAL SCIENCES > Physics |
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| Divisions: | Theoretical Physics Division | ||||||||||||
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| Depositing User: | Larisa Jonke | ||||||||||||
| Date Deposited: | 12 Sep 2022 11:25 | ||||||||||||
| URI: | http://fulir.irb.hr/id/eprint/7555 | ||||||||||||
| DOI: | 10.22323/1.292.0087 |
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