On the off-shell superfield Lagrangian formulation of 4D, N=1 supersymmetric infinite spin theory
We develop a complete off-shell Lagrangian description of the free 4D,N=1 supersymmetric theory of infinite spin. Bosonic and fermionic fields are formulated in terms of spin-tensor fields with dotted and undotted indices. The corresponding Lagrangians for bosonic and fermionic infinite spin fields...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322002738 |
| _version_ | 1811252251992260608 |
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| author | I.L. Buchbinder S.A. Fedoruk A.P. Isaev V.A. Krykhtin |
| author_facet | I.L. Buchbinder S.A. Fedoruk A.P. Isaev V.A. Krykhtin |
| author_sort | I.L. Buchbinder |
| collection | DOAJ |
| description | We develop a complete off-shell Lagrangian description of the free 4D,N=1 supersymmetric theory of infinite spin. Bosonic and fermionic fields are formulated in terms of spin-tensor fields with dotted and undotted indices. The corresponding Lagrangians for bosonic and fermionic infinite spin fields entering into the on-shell supersymmetric model are derived within the BRST method. Lagrangian for this supersymmetric model is written in terms of the complex infinite spin bosonic field and infinite spin fermionic Weyl field subject to supersymmetry transformations. The fields involved into the on-shell supersymmetric Lagrangian can be considered as components of six infinite spin chiral and antichiral multiplets. These multiplets are extended to the corresponding infinite spin chiral and antichiral superfields so that two chiral and antichiral superfields contain among the components the basic fields of an infinite spin supermultiplet and extra four chiral and antichiral superfields containing only the auxiliary fields needed for the Lagrangian formulation. The superfield Lagrangian is constructed in terms of these six chiral and antichiral supefields, and we show that the component form of this superfield Lagrangian exactly coincides with the previously found component supersymmetric Lagrangian after eliminating the component fields added to construct (anti)chiral superfields. |
| first_indexed | 2024-04-12T16:32:01Z |
| format | Article |
| id | doaj.art-70280be9c3ec4c5da3e2f514935bdaee |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-12T16:32:01Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-70280be9c3ec4c5da3e2f514935bdaee2022-12-22T03:25:07ZengElsevierPhysics Letters B0370-26932022-06-01829137139On the off-shell superfield Lagrangian formulation of 4D, N=1 supersymmetric infinite spin theoryI.L. Buchbinder0S.A. Fedoruk1A.P. Isaev2V.A. Krykhtin3Center of Theoretical Physics, Tomsk State Pedagogical University, 634041 Tomsk, Russia; National Research Tomsk State University, 634050 Tomsk, Russia; Lab of Theor. Cosmology, International Center of Gravity and Cosmos, Tomsk State University of Control Systems and Radioelectronics, (TUSUR), 634050, Tomsk, Russia; Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia; St. Petersburg Department of Steklov Mathematical Institute of RAS, Fontanka 27, 191023 St. Petersburg, RussiaCenter of Theoretical Physics, Tomsk State Pedagogical University, 634041 Tomsk, Russia; National Research Tomsk State University, 634050 Tomsk, Russia; Corresponding author.We develop a complete off-shell Lagrangian description of the free 4D,N=1 supersymmetric theory of infinite spin. Bosonic and fermionic fields are formulated in terms of spin-tensor fields with dotted and undotted indices. The corresponding Lagrangians for bosonic and fermionic infinite spin fields entering into the on-shell supersymmetric model are derived within the BRST method. Lagrangian for this supersymmetric model is written in terms of the complex infinite spin bosonic field and infinite spin fermionic Weyl field subject to supersymmetry transformations. The fields involved into the on-shell supersymmetric Lagrangian can be considered as components of six infinite spin chiral and antichiral multiplets. These multiplets are extended to the corresponding infinite spin chiral and antichiral superfields so that two chiral and antichiral superfields contain among the components the basic fields of an infinite spin supermultiplet and extra four chiral and antichiral superfields containing only the auxiliary fields needed for the Lagrangian formulation. The superfield Lagrangian is constructed in terms of these six chiral and antichiral supefields, and we show that the component form of this superfield Lagrangian exactly coincides with the previously found component supersymmetric Lagrangian after eliminating the component fields added to construct (anti)chiral superfields.http://www.sciencedirect.com/science/article/pii/S0370269322002738SupersymmetryInfinite spin particlesSuperfield theoryBRST symmetry |
| spellingShingle | I.L. Buchbinder S.A. Fedoruk A.P. Isaev V.A. Krykhtin On the off-shell superfield Lagrangian formulation of 4D, N=1 supersymmetric infinite spin theory Physics Letters B Supersymmetry Infinite spin particles Superfield theory BRST symmetry |
| title | On the off-shell superfield Lagrangian formulation of 4D, N=1 supersymmetric infinite spin theory |
| title_full | On the off-shell superfield Lagrangian formulation of 4D, N=1 supersymmetric infinite spin theory |
| title_fullStr | On the off-shell superfield Lagrangian formulation of 4D, N=1 supersymmetric infinite spin theory |
| title_full_unstemmed | On the off-shell superfield Lagrangian formulation of 4D, N=1 supersymmetric infinite spin theory |
| title_short | On the off-shell superfield Lagrangian formulation of 4D, N=1 supersymmetric infinite spin theory |
| title_sort | on the off shell superfield lagrangian formulation of 4d n 1 supersymmetric infinite spin theory |
| topic | Supersymmetry Infinite spin particles Superfield theory BRST symmetry |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322002738 |
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