Non-compact gauge groups, tensor fields and Yang-Mills-Einstein amplitudes
Abstract Scattering amplitudes in Yang-Mills-Einstein theories have been investigated mostly for compact gauge groups. While non-compact gauge groups are not physically viable in Yang-Mills theory, non-compact gaugings feature prominently in the supergravity literature, where any choice of perturbat...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2024)007 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850129673773645824 |
|---|---|
| author | Marco Chiodaroli Murat Günaydin Henrik Johansson Radu Roiban |
| author_facet | Marco Chiodaroli Murat Günaydin Henrik Johansson Radu Roiban |
| author_sort | Marco Chiodaroli |
| collection | DOAJ |
| description | Abstract Scattering amplitudes in Yang-Mills-Einstein theories have been investigated mostly for compact gauge groups. While non-compact gauge groups are not physically viable in Yang-Mills theory, non-compact gaugings feature prominently in the supergravity literature, where any choice of perturbative vacuum spontaneously breaks the gauge group to a compact subgroup. In this paper, we formulate double-copy constructions for several five-dimensional N $$ \mathcal{N} $$ = 2 supergravities with non-compact gauge groups. On one side of the double copy, we employ amplitudes from a super-Yang-Mills theory with a massive hypermultiplet. On the other, we use amplitudes from particular non-supersymmetric Yang-Mills-scalar theories with massive fermions, chosen to obey constraints coming from color/kinematics duality. Supergravities with massive self-dual tensors in five dimensions are also considered, showing that tensors are straightforwardly realized as double copies of gauge-theory fermions with suitable choices of signs in the corresponding solutions of the Dirac equation. We present several examples of these constructions, noting in particular the appearance of Heisenberg groups in the supergravity gauge symmetry and, in some cases, the possibility of exotic tensor-vector matter couplings. |
| format | Article |
| id | doaj-art-f4e9263dc70d45cba71a64f96c7f20a7 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-f4e9263dc70d45cba71a64f96c7f20a72025-08-20T02:32:53ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024815210.1007/JHEP08(2024)007Non-compact gauge groups, tensor fields and Yang-Mills-Einstein amplitudesMarco Chiodaroli0Murat Günaydin1Henrik Johansson2Radu Roiban3Department of Physics and Astronomy, Uppsala UniversityInstitute for Gravitation and the Cosmos, The Pennsylvania State UniversityDepartment of Physics and Astronomy, Uppsala UniversityInstitute for Gravitation and the Cosmos, The Pennsylvania State UniversityAbstract Scattering amplitudes in Yang-Mills-Einstein theories have been investigated mostly for compact gauge groups. While non-compact gauge groups are not physically viable in Yang-Mills theory, non-compact gaugings feature prominently in the supergravity literature, where any choice of perturbative vacuum spontaneously breaks the gauge group to a compact subgroup. In this paper, we formulate double-copy constructions for several five-dimensional N $$ \mathcal{N} $$ = 2 supergravities with non-compact gauge groups. On one side of the double copy, we employ amplitudes from a super-Yang-Mills theory with a massive hypermultiplet. On the other, we use amplitudes from particular non-supersymmetric Yang-Mills-scalar theories with massive fermions, chosen to obey constraints coming from color/kinematics duality. Supergravities with massive self-dual tensors in five dimensions are also considered, showing that tensors are straightforwardly realized as double copies of gauge-theory fermions with suitable choices of signs in the corresponding solutions of the Dirac equation. We present several examples of these constructions, noting in particular the appearance of Heisenberg groups in the supergravity gauge symmetry and, in some cases, the possibility of exotic tensor-vector matter couplings.https://doi.org/10.1007/JHEP08(2024)007Extended SupersymmetryGauge SymmetryScattering AmplitudesSupergravity Models |
| spellingShingle | Marco Chiodaroli Murat Günaydin Henrik Johansson Radu Roiban Non-compact gauge groups, tensor fields and Yang-Mills-Einstein amplitudes Journal of High Energy Physics Extended Supersymmetry Gauge Symmetry Scattering Amplitudes Supergravity Models |
| title | Non-compact gauge groups, tensor fields and Yang-Mills-Einstein amplitudes |
| title_full | Non-compact gauge groups, tensor fields and Yang-Mills-Einstein amplitudes |
| title_fullStr | Non-compact gauge groups, tensor fields and Yang-Mills-Einstein amplitudes |
| title_full_unstemmed | Non-compact gauge groups, tensor fields and Yang-Mills-Einstein amplitudes |
| title_short | Non-compact gauge groups, tensor fields and Yang-Mills-Einstein amplitudes |
| title_sort | non compact gauge groups tensor fields and yang mills einstein amplitudes |
| topic | Extended Supersymmetry Gauge Symmetry Scattering Amplitudes Supergravity Models |
| url | https://doi.org/10.1007/JHEP08(2024)007 |
| work_keys_str_mv | AT marcochiodaroli noncompactgaugegroupstensorfieldsandyangmillseinsteinamplitudes AT muratgunaydin noncompactgaugegroupstensorfieldsandyangmillseinsteinamplitudes AT henrikjohansson noncompactgaugegroupstensorfieldsandyangmillseinsteinamplitudes AT raduroiban noncompactgaugegroupstensorfieldsandyangmillseinsteinamplitudes |