On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
Abstract In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method. The super-$$BMS_3$$ BMS3 , the superconformal algebra and new infinite-dimensional superalgebras are obtained...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-019-7595-5 |
| _version_ | 1818453396741423104 |
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| author | Ricardo Caroca Patrick Concha Octavio Fierro Evelyn Rodríguez |
| author_facet | Ricardo Caroca Patrick Concha Octavio Fierro Evelyn Rodríguez |
| author_sort | Ricardo Caroca |
| collection | DOAJ |
| description | Abstract In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method. The super-$$BMS_3$$ BMS3 , the superconformal algebra and new infinite-dimensional superalgebras are obtained by expanding the super-Virasoro algebra. The new superalgebras obtained are supersymmetric extensions of the asymptotic algebras of the Maxwell and the $$\mathfrak {so}(2,2)\oplus \mathfrak {so}(2,1)$$ so(2,2)⊕so(2,1) gravity theories. We extend our results to the $$\mathcal {N}=2$$ N=2 and $$\mathcal {N}=4$$ N=4 cases and find that R-symmetry generators are required. We also show that the new infinite-dimensional structures are related through a flat limit $$\ell \rightarrow \infty $$ ℓ→∞ . |
| first_indexed | 2024-12-14T21:38:20Z |
| format | Article |
| id | doaj.art-1b5daf5805174c0ca8c6b82f2a77fb76 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-14T21:38:20Z |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-1b5daf5805174c0ca8c6b82f2a77fb762022-12-21T22:46:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-01-0180112310.1140/epjc/s10052-019-7595-5On the supersymmetric extension of asymptotic symmetries in three spacetime dimensionsRicardo Caroca0Patrick Concha1Octavio Fierro2Evelyn Rodríguez3Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónDepartamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo IbáñezAbstract In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method. The super-$$BMS_3$$ BMS3 , the superconformal algebra and new infinite-dimensional superalgebras are obtained by expanding the super-Virasoro algebra. The new superalgebras obtained are supersymmetric extensions of the asymptotic algebras of the Maxwell and the $$\mathfrak {so}(2,2)\oplus \mathfrak {so}(2,1)$$ so(2,2)⊕so(2,1) gravity theories. We extend our results to the $$\mathcal {N}=2$$ N=2 and $$\mathcal {N}=4$$ N=4 cases and find that R-symmetry generators are required. We also show that the new infinite-dimensional structures are related through a flat limit $$\ell \rightarrow \infty $$ ℓ→∞ .https://doi.org/10.1140/epjc/s10052-019-7595-5 |
| spellingShingle | Ricardo Caroca Patrick Concha Octavio Fierro Evelyn Rodríguez On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions European Physical Journal C: Particles and Fields |
| title | On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions |
| title_full | On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions |
| title_fullStr | On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions |
| title_full_unstemmed | On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions |
| title_short | On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions |
| title_sort | on the supersymmetric extension of asymptotic symmetries in three spacetime dimensions |
| url | https://doi.org/10.1140/epjc/s10052-019-7595-5 |
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