Scale-invariant supergravity theory in component formulation
We formulate N=1 supergravity theory in four-dimensions with local scale invariance in semi-on-shell component formulation in four dimensions. The algebra we adopt has the generators (Pm,Mmn,Qα,S) consisting of the generators in super-Poincaré algebra: (Pm,Mmn,Qα) with 4+6+4 components, and that of...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-11-01
|
| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269321005694 |
| _version_ | 1818952186774683648 |
|---|---|
| author | Hitoshi Nishino Subhash Rajpoot |
| author_facet | Hitoshi Nishino Subhash Rajpoot |
| author_sort | Hitoshi Nishino |
| collection | DOAJ |
| description | We formulate N=1 supergravity theory in four-dimensions with local scale invariance in semi-on-shell component formulation in four dimensions. The algebra we adopt has the generators (Pm,Mmn,Qα,S) consisting of the generators in super-Poincaré algebra: (Pm,Mmn,Qα) with 4+6+4 components, and that of local scale-transformation S with one additional component. Our field content consists of the on-shell multiplet of supergravity (eμm,ψμα), the tensor multiplet (Bμν,χα,φ) and the ‘Weylon multiplet’ (Sμ,ρα,Cμνρ), where Sμ is the Weylon that gauges local scale symmetry, ψμ,χ and ρ are Majorana spinors, while Cμνρ is a tensor auxiliary field. Similar to the non-supersymmetric case that has no minimal coupling between the Sμ-field and spin 1/2 field, the Weylon does not minimally couple to spin 3/2 gravitino field in our locally supersymmetric generalization. By going to the Einstein frame from the original Jordan frame, we show that our system is equivalent to a system with the gauged dilaton-shift symmetry. This implies that our system bypasses persistent dilaton-related problems, avoiding a long-distance force for a massless dilaton, a minimum value of its potential, or a run-away vacuum. |
| first_indexed | 2024-12-20T09:46:23Z |
| format | Article |
| id | doaj.art-93d203e2602a4a51b7846c64b3a6e957 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-20T09:46:23Z |
| publishDate | 2021-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-93d203e2602a4a51b7846c64b3a6e9572022-12-21T19:44:43ZengElsevierPhysics Letters B0370-26932021-11-01822136629Scale-invariant supergravity theory in component formulationHitoshi Nishino0Subhash Rajpoot1Department of Physics, College of Natural Sciences and Mathematics, California State University, 2345 E. San Ramon Avenue, M/S ST90, Fresno, CA 93740, United States of America; Corresponding author.Department of Physics & Astronomy, California State University, 1250 Bellflower Boulevard, Long Beach, CA 90840, United States of AmericaWe formulate N=1 supergravity theory in four-dimensions with local scale invariance in semi-on-shell component formulation in four dimensions. The algebra we adopt has the generators (Pm,Mmn,Qα,S) consisting of the generators in super-Poincaré algebra: (Pm,Mmn,Qα) with 4+6+4 components, and that of local scale-transformation S with one additional component. Our field content consists of the on-shell multiplet of supergravity (eμm,ψμα), the tensor multiplet (Bμν,χα,φ) and the ‘Weylon multiplet’ (Sμ,ρα,Cμνρ), where Sμ is the Weylon that gauges local scale symmetry, ψμ,χ and ρ are Majorana spinors, while Cμνρ is a tensor auxiliary field. Similar to the non-supersymmetric case that has no minimal coupling between the Sμ-field and spin 1/2 field, the Weylon does not minimally couple to spin 3/2 gravitino field in our locally supersymmetric generalization. By going to the Einstein frame from the original Jordan frame, we show that our system is equivalent to a system with the gauged dilaton-shift symmetry. This implies that our system bypasses persistent dilaton-related problems, avoiding a long-distance force for a massless dilaton, a minimum value of its potential, or a run-away vacuum.http://www.sciencedirect.com/science/article/pii/S0370269321005694N=1 supergravityLocal scale invariance non-Abelian tensorN=1 supersymmetryFour dimensionsWeylonProca-Stueckelberg formulation |
| spellingShingle | Hitoshi Nishino Subhash Rajpoot Scale-invariant supergravity theory in component formulation Physics Letters B N=1 supergravity Local scale invariance non-Abelian tensor N=1 supersymmetry Four dimensions Weylon Proca-Stueckelberg formulation |
| title | Scale-invariant supergravity theory in component formulation |
| title_full | Scale-invariant supergravity theory in component formulation |
| title_fullStr | Scale-invariant supergravity theory in component formulation |
| title_full_unstemmed | Scale-invariant supergravity theory in component formulation |
| title_short | Scale-invariant supergravity theory in component formulation |
| title_sort | scale invariant supergravity theory in component formulation |
| topic | N=1 supergravity Local scale invariance non-Abelian tensor N=1 supersymmetry Four dimensions Weylon Proca-Stueckelberg formulation |
| url | http://www.sciencedirect.com/science/article/pii/S0370269321005694 |
| work_keys_str_mv | AT hitoshinishino scaleinvariantsupergravitytheoryincomponentformulation AT subhashrajpoot scaleinvariantsupergravitytheoryincomponentformulation |