Gauged D = 4 N = 4 supergravity

0576642 - FZÚ 2024 RIV DE eng J - Journal Article
Dall'Agata, G. - Liatsos, N. - Noris, Ruggero - Trigiante, M.
Gauged D = 4 N = 4 supergravity.
Journal of High Energy Physics. Roč. 2023, č. 9 (2023), č. článku 71. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR(CZ) GX20-25775X
Institutional support: RVO:68378271
Keywords : extended supersymmetry * supergravity models * superspaces
OECD category: Particles and field physics
Impact factor: 5.4, year: 2022
Method of publishing: Open access

We present the full Lagrangian and supersymmetry transformation rules for the gauged D = 4, NN = 4 (half-maximal) supergravity coupled to an arbitrary number of vector multiplets. Using the embedding tensor formulation, the final results are universal and valid in arbitrary symplectic frames. We also analyze the conditions for the critical points of the scalar potential and specify the full spectrum of the quadratic fluctuations about Minkowski vacua. This allows us also to exclude the appearance of quadratic divergences in the 1-loop corrections to the scalar potential for any Minkowski vacuum fully breaking supersymmetry. We also provide some interesting byproducts of our analysis, like the field equations and the quadratic constraints for the fermion shifts characterizing the gauging (also known as T-tensor identities).
Permanent Link: https://hdl.handle.net/11104/0350033