Extended Bargmann FDA and non-relativistic gravity
In this paper we consider the construction of a free differential algebra as an extension of the extended Bargmann algebra in arbitrary dimensions. This is achieved by introducing a new Maurer-Cartan equation for a three-form gauge multiplet in the adjoint representation of the extended Bargmann alg...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-05-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032132500094X |
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| Summary: | In this paper we consider the construction of a free differential algebra as an extension of the extended Bargmann algebra in arbitrary dimensions. This is achieved by introducing a new Maurer-Cartan equation for a three-form gauge multiplet in the adjoint representation of the extended Bargmann algebra. The new Maurer-Cartan equation is provided of non-triviality by means of the introduction of a four-form cocycle, representative of a Chevalley-Eilenberg cohomology class. We derive the corresponding dual L∞ algebra and, by using the formalism of non-linear realizations, propose a five-dimensional gauge invariant action principle. Then, we derive the corresponding equations of motion and study how the presence of the three-form gauge fields and the four-cocycle modify the corresponding non-relativistic dynamics. |
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| ISSN: | 0550-3213 |