Carrollian and non-relativistic Jackiw–Teitelboim supergravity
Abstract We present non- and ultra-relativistic Jackiw–Teitelboim (JT) supergravity as metric BF theories based on the extended Newton–Hooke and extended AdS Carroll superalgebras in two spacetime dimensions, respectively. The extended Newton–Hooke structure, and, in particular, the invariant metric...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11239-x |
| _version_ | 1797853691551678464 |
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| author | Lucrezia Ravera Utku Zorba |
| author_facet | Lucrezia Ravera Utku Zorba |
| author_sort | Lucrezia Ravera |
| collection | DOAJ |
| description | Abstract We present non- and ultra-relativistic Jackiw–Teitelboim (JT) supergravity as metric BF theories based on the extended Newton–Hooke and extended AdS Carroll superalgebras in two spacetime dimensions, respectively. The extended Newton–Hooke structure, and, in particular, the invariant metric necessary for the BF construction of non-relativistic JT supergravity, is obtained by performing an expansion of the $$\mathcal {N}=2$$ N = 2 AdS $$_2$$ 2 superalgebra. Subsequently, we introduce the extended AdS $$_2$$ 2 Carroll superalgebra, and the associated invariant metric, as a suitable redefinition of the extended Newton–Hooke superalgebra. The mapping involved can be seen as the supersymmetric extension of the duality existing at the purely bosonic level between the extended Newton–Hooke algebra with (positive) negative cosmological constant and the extended (A)dS Carroll algebra in two dimensions. Finally, we provide the Carrollian JT supergravity action in the BF formalism. Moreover, we show that both the non-relativistic and the ultra-relativistic theories presented can also be obtained by direct expansion of $$\mathcal {N}=2$$ N = 2 JT supergravity. |
| first_indexed | 2024-04-09T19:53:43Z |
| format | Article |
| id | doaj.art-fa01c283c93e4156b1557cbbc6ff8c63 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-09T19:53:43Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-fa01c283c93e4156b1557cbbc6ff8c632023-04-03T05:37:34ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-02-0183211310.1140/epjc/s10052-023-11239-xCarrollian and non-relativistic Jackiw–Teitelboim supergravityLucrezia Ravera0Utku Zorba1DISAT, Politecnico di TorinoPhysics Department, Boğaziçi UniversityAbstract We present non- and ultra-relativistic Jackiw–Teitelboim (JT) supergravity as metric BF theories based on the extended Newton–Hooke and extended AdS Carroll superalgebras in two spacetime dimensions, respectively. The extended Newton–Hooke structure, and, in particular, the invariant metric necessary for the BF construction of non-relativistic JT supergravity, is obtained by performing an expansion of the $$\mathcal {N}=2$$ N = 2 AdS $$_2$$ 2 superalgebra. Subsequently, we introduce the extended AdS $$_2$$ 2 Carroll superalgebra, and the associated invariant metric, as a suitable redefinition of the extended Newton–Hooke superalgebra. The mapping involved can be seen as the supersymmetric extension of the duality existing at the purely bosonic level between the extended Newton–Hooke algebra with (positive) negative cosmological constant and the extended (A)dS Carroll algebra in two dimensions. Finally, we provide the Carrollian JT supergravity action in the BF formalism. Moreover, we show that both the non-relativistic and the ultra-relativistic theories presented can also be obtained by direct expansion of $$\mathcal {N}=2$$ N = 2 JT supergravity.https://doi.org/10.1140/epjc/s10052-023-11239-x |
| spellingShingle | Lucrezia Ravera Utku Zorba Carrollian and non-relativistic Jackiw–Teitelboim supergravity European Physical Journal C: Particles and Fields |
| title | Carrollian and non-relativistic Jackiw–Teitelboim supergravity |
| title_full | Carrollian and non-relativistic Jackiw–Teitelboim supergravity |
| title_fullStr | Carrollian and non-relativistic Jackiw–Teitelboim supergravity |
| title_full_unstemmed | Carrollian and non-relativistic Jackiw–Teitelboim supergravity |
| title_short | Carrollian and non-relativistic Jackiw–Teitelboim supergravity |
| title_sort | carrollian and non relativistic jackiw teitelboim supergravity |
| url | https://doi.org/10.1140/epjc/s10052-023-11239-x |
| work_keys_str_mv | AT lucreziaravera carrollianandnonrelativisticjackiwteitelboimsupergravity AT utkuzorba carrollianandnonrelativisticjackiwteitelboimsupergravity |