Supersymmetric algebra of the massive supermembrane
In this paper, we obtain the explicit expression of the supersymmetric algebra associated with the recently proposed massive supermembrane including all surface terms. We formulate the theory as the limit of a supermembrane on a genus-two compact Riemann surface when one of the handles becomes a str...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-04-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269323000886 |
| _version_ | 1797867672930615296 |
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| author | M.P. Garcia del Moral P. León A. Restuccia |
| author_facet | M.P. Garcia del Moral P. León A. Restuccia |
| author_sort | M.P. Garcia del Moral |
| collection | DOAJ |
| description | In this paper, we obtain the explicit expression of the supersymmetric algebra associated with the recently proposed massive supermembrane including all surface terms. We formulate the theory as the limit of a supermembrane on a genus-two compact Riemann surface when one of the handles becomes a string attached to a torus. The formulation reduces to a supermembrane on a punctured torus with a “string spike” (in the sense of [1]), attached to it. In this limit, we identify all surface terms of the algebra and give the explicit expression of the Hamiltonian in agreement with the previous formulation of it. The symmetry under area preserving diffeomorphisms, connected and nonconnected to the identity, is also discussed. Only parabolic Sl(2,Z) discrete symmetries are preserved. |
| first_indexed | 2024-04-09T23:44:59Z |
| format | Article |
| id | doaj.art-8e858eab9e4142a09ebfe661df779c42 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-09T23:44:59Z |
| publishDate | 2023-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-8e858eab9e4142a09ebfe661df779c422023-03-18T04:39:53ZengElsevierPhysics Letters B0370-26932023-04-01839137754Supersymmetric algebra of the massive supermembraneM.P. Garcia del Moral0P. León1A. Restuccia2Área de Física, Departamento de Química, Universidad de la Rioja, La Rioja 26006, Spain; Departamento de Física, Universidad de Antofagasta, Aptdo 02800, ChileDepartamento de Física, Universidad de Antofagasta, Aptdo 02800, Chile; Corresponding author.Departamento de Física, Universidad de Antofagasta, Aptdo 02800, ChileIn this paper, we obtain the explicit expression of the supersymmetric algebra associated with the recently proposed massive supermembrane including all surface terms. We formulate the theory as the limit of a supermembrane on a genus-two compact Riemann surface when one of the handles becomes a string attached to a torus. The formulation reduces to a supermembrane on a punctured torus with a “string spike” (in the sense of [1]), attached to it. In this limit, we identify all surface terms of the algebra and give the explicit expression of the Hamiltonian in agreement with the previous formulation of it. The symmetry under area preserving diffeomorphisms, connected and nonconnected to the identity, is also discussed. Only parabolic Sl(2,Z) discrete symmetries are preserved.http://www.sciencedirect.com/science/article/pii/S0370269323000886SupermembraneSupersymmetric algebraSingularities |
| spellingShingle | M.P. Garcia del Moral P. León A. Restuccia Supersymmetric algebra of the massive supermembrane Physics Letters B Supermembrane Supersymmetric algebra Singularities |
| title | Supersymmetric algebra of the massive supermembrane |
| title_full | Supersymmetric algebra of the massive supermembrane |
| title_fullStr | Supersymmetric algebra of the massive supermembrane |
| title_full_unstemmed | Supersymmetric algebra of the massive supermembrane |
| title_short | Supersymmetric algebra of the massive supermembrane |
| title_sort | supersymmetric algebra of the massive supermembrane |
| topic | Supermembrane Supersymmetric algebra Singularities |
| url | http://www.sciencedirect.com/science/article/pii/S0370269323000886 |
| work_keys_str_mv | AT mpgarciadelmoral supersymmetricalgebraofthemassivesupermembrane AT pleon supersymmetricalgebraofthemassivesupermembrane AT arestuccia supersymmetricalgebraofthemassivesupermembrane |