https://doi.org/10.1140/epjc/s10052-023-12160-z
Regular Article - Theoretical Physics
Supersymmetric higher-derivative models in quantum cosmology
Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, 4 Sur 104, 72000, Puebla, Puebla, Mexico
a
nephtali.martinezper@alumno.buap.mx
Received:
11
August
2023
Accepted:
16
October
2023
Published online:
4
November
2023
We study the quantum cosmology of supersymmetric, homogeneous and isotropic, higher derivative models. We recall superfield actions obtained in previous works and give classically equivalent actions leading to second order equations for the bosons, and first order for the fermions. Upon quantization, the algebra of fermions leads to a multi-component state, which is annihilated by the Hamiltonian and supersymmetric constraint operators. We obtain asymptotic wave functions of the oscillatory type, whose classical limit corresponds to inflationary evolution, and exact exponential wave functions. We use the latter to derive probability distributions of the initial curvature that are compatible with those obtained using the non-supersymmetric model.
Nephtalí Eliceo Martínez-Pérez and Cupatitzio Ramírez contributed equally to this work.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.