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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| Format: | Article |
| Language: | English |
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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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| author | Ariana Muñoz Gustavo Rubio Sebastián Salgado |
| author_facet | Ariana Muñoz Gustavo Rubio Sebastián Salgado |
| author_sort | Ariana Muñoz |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-71ca2fbe39c54aabaaa993752f82782c |
| institution | DOAJ |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-71ca2fbe39c54aabaaa993752f82782c2025-08-20T03:06:13ZengElsevierNuclear Physics B0550-32132025-05-01101411688510.1016/j.nuclphysb.2025.116885Extended Bargmann FDA and non-relativistic gravityAriana Muñoz0Gustavo Rubio1Sebastián Salgado2Departamento de Óptica, Facultad de Física, Universidad Complutense, 28040 Madrid, Spain; Facultad de Ingenierıa, Universidad Autónoma de Chile, 5 Poniente 1670, Talca, ChileFacultad de Ingenierıa, Universidad Autónoma de Chile, 5 Poniente 1670, Talca, ChileInstituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile; Corresponding author.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.http://www.sciencedirect.com/science/article/pii/S055032132500094X |
| spellingShingle | Ariana Muñoz Gustavo Rubio Sebastián Salgado Extended Bargmann FDA and non-relativistic gravity Nuclear Physics B |
| title | Extended Bargmann FDA and non-relativistic gravity |
| title_full | Extended Bargmann FDA and non-relativistic gravity |
| title_fullStr | Extended Bargmann FDA and non-relativistic gravity |
| title_full_unstemmed | Extended Bargmann FDA and non-relativistic gravity |
| title_short | Extended Bargmann FDA and non-relativistic gravity |
| title_sort | extended bargmann fda and non relativistic gravity |
| url | http://www.sciencedirect.com/science/article/pii/S055032132500094X |
| work_keys_str_mv | AT arianamunoz extendedbargmannfdaandnonrelativisticgravity AT gustavorubio extendedbargmannfdaandnonrelativisticgravity AT sebastiansalgado extendedbargmannfdaandnonrelativisticgravity |