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New exact supersymmetric wave functions for a massless scalar field and axion–dilaton string cosmology in a FRWL metric

Abstract

We study the quantum cosmology of the 2D Hawking–Page massless scalar-field model and the homogeneous and isotropic dilaton–axion string cosmology. For both models, we find new exact solutions for the Wheeler–DeWitt equation and for the supersymmetric wave function equations. We show that the Wheeler-DeWitt equations for the Hawking–Page model and the axion–dilaton string cosmology are invariant under a one-parameter and two-parameter squeezed transformations, respectively. These results allow to find new solutions for the wave functions of these systems at the quantum cosmology level. Also, we apply the same squeezed transformations to solve the supersymmetric wave equations and find new supersymmetric solutions for the 2D Hawking–Page massless scalar-field model and the homogeneous and isotropic dilation–axion fields. Besides, for the former case, with the help of separation of variables we find new supersymmetric wave functions.

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Acknowledgements

This work was partially supported by SNI-México, COFAA-IPN, EDI-IPN, SIP-IPN 20180741 and 20195330 number projects.

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Correspondence to R. D. Mota.

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Cordero, R., Mota, R.D. New exact supersymmetric wave functions for a massless scalar field and axion–dilaton string cosmology in a FRWL metric. Eur. Phys. J. Plus 135, 78 (2020). https://doi.org/10.1140/epjp/s13360-020-00114-3

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