Massive spin-3/2 models in D=2+1
We have demonstrated that the fermionic part of the so called âNew Topologically Massive Supergravityâ, which is of third order in derivatives, is classically equivalent to self-dual models of lower order in derivatives, forming then a sequence of self-dual descriptions SD(i), with i=1,2,3 meaning t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317308742 |
| _version_ | 1830454734776958976 |
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| author | E.L. Mendonça A.L.R. dos Santos D.S. Lima |
| author_facet | E.L. Mendonça A.L.R. dos Santos D.S. Lima |
| author_sort | E.L. Mendonça |
| collection | DOAJ |
| description | We have demonstrated that the fermionic part of the so called âNew Topologically Massive Supergravityâ, which is of third order in derivatives, is classically equivalent to self-dual models of lower order in derivatives, forming then a sequence of self-dual descriptions SD(i), with i=1,2,3 meaning the order in derivatives of each description. We have connected all the models by symmetry arguments through a Noether Gauge Embedment approach. This is completely equivalent to what happens in the bosonic cases of spins 1, 2 and 3, so some discussion about the similarities is made along the work. An analogue version of the FierzâPauli theory is suggested. Then through the NGE approach a fourth order model is obtained, which in our point of view would be the analogue version of the linearized New Massive Gravity theory for spin-3/2 fermionic particles. |
| first_indexed | 2024-12-21T09:30:59Z |
| format | Article |
| id | doaj.art-dfc6224c07ca43ab8e00be68ca19e8e2 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-21T09:30:59Z |
| publishDate | 2017-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-dfc6224c07ca43ab8e00be68ca19e8e22022-12-21T19:08:45ZengElsevierPhysics Letters B0370-26932017-12-01775147151Massive spin-3/2 models in D=2+1E.L. Mendonça0A.L.R. dos Santos1D.S. Lima2Corresponding author.; UNESP - Campus de Guaratinguetá - DFQ, Av. Dr. Ariberto Pereira da Cunha, 333, CEP 12516-410, Guaratinguetá, SP, BrazilUNESP - Campus de Guaratinguetá - DFQ, Av. Dr. Ariberto Pereira da Cunha, 333, CEP 12516-410, Guaratinguetá, SP, BrazilUNESP - Campus de Guaratinguetá - DFQ, Av. Dr. Ariberto Pereira da Cunha, 333, CEP 12516-410, Guaratinguetá, SP, BrazilWe have demonstrated that the fermionic part of the so called âNew Topologically Massive Supergravityâ, which is of third order in derivatives, is classically equivalent to self-dual models of lower order in derivatives, forming then a sequence of self-dual descriptions SD(i), with i=1,2,3 meaning the order in derivatives of each description. We have connected all the models by symmetry arguments through a Noether Gauge Embedment approach. This is completely equivalent to what happens in the bosonic cases of spins 1, 2 and 3, so some discussion about the similarities is made along the work. An analogue version of the FierzâPauli theory is suggested. Then through the NGE approach a fourth order model is obtained, which in our point of view would be the analogue version of the linearized New Massive Gravity theory for spin-3/2 fermionic particles.http://www.sciencedirect.com/science/article/pii/S0370269317308742 |
| spellingShingle | E.L. Mendonça A.L.R. dos Santos D.S. Lima Massive spin-3/2 models in D=2+1 Physics Letters B |
| title | Massive spin-3/2 models in D=2+1 |
| title_full | Massive spin-3/2 models in D=2+1 |
| title_fullStr | Massive spin-3/2 models in D=2+1 |
| title_full_unstemmed | Massive spin-3/2 models in D=2+1 |
| title_short | Massive spin-3/2 models in D=2+1 |
| title_sort | massive spin 3 2 models in d 2 1 |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317308742 |
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