Wave Function of a Supersymmetric FRW Model with Vector Fields

Moniz, Paulo Vargas

doi:10.1142/s0218271897000273

Cited by 11 publications

(1 citation statement)

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“…Nevertheless, we think they are intriguing and provide motivation for subsequent research works. Possible extensions to test the zeta function regularization may include supersymmetric quantum cosmology with vector fields [53,54], the far more rich and elegant SU(2) ansatz in [21], quantum cosmology with fermionic matter field [55], or full infinite-dimensional superspace [56].…”

Section: Discussionmentioning

confidence: 99%

Resolution of challenging problems in quantum cosmology with electromagnetic radiation

Jalalzadeh

2022

Preprint

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We investigate the quantum cosmology of a closed spatially homogeneous and isotropic Friedmann-Lemaître-Robertson-Walker (FLRW) minisuperspace model with electromagnetic radiation as matter content. We solve the corresponding Wheeler-DeWitt equation by utilizing Riemann's zeta function regularization method. We demonstrate that the regularized vacuum energy of the electromagnetic field can overcome factor ordering, boundary conditions, and singularity problems.

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Section: Discussionmentioning

confidence: 99%

Resolution of challenging problems in quantum cosmology with electromagnetic radiation

Jalalzadeh

2022

Preprint

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FRW minisuperspace with local N=4 supersymmetry and self‐interacting scalar field

Moniz

2003

Annalen der Physik

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A supersymmetric FRW model with a scalar supermultiplet and generic superpotential is analysed from a quantum cosmological perspective. The corresponding Lorentz and supersymmetry constraints allow to establish a system of first order partial differential equations from which solutions can be obtained. We show that this is possible when the superpotential is expanded in powers of a parameter λ≪1. At order λ0 we find the general class of solutions, which include in particular quantum states reported in the current literature. New solutions are partially obtained at order λ1, where the dependence on the superpotential is manifest. These classes of solutions can be employed to find states for higher orders in λ. Our analysis further points to the following: (i) supersymmetric wave functions can only be found when the superpotential has either an exponential behaviour, an effective cosmological constant form or is zero; (ii) If the superpotential behaves differently during other periods, the wave function is trivial ( = 0, i.e., no supersymmetric states). We conclude this paper discussing how our FRW minisuperspace (with N = 4 supersymmetry and invariance under time‐reparametrization) can be relevant concerning the issue of supersymmetry breaking.

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Moniz

2010

Quantum Cosmology - The Supersymmetric Perspective - Vol. 2

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Wave Function of a Supersymmetric FRW Model with Vector Fields

Cited by 11 publications

References 35 publications

Resolution of challenging problems in quantum cosmology with electromagnetic radiation

Resolution of challenging problems in quantum cosmology with electromagnetic radiation

FRW minisuperspace with local N=4 supersymmetry and self‐interacting scalar field

More Routes Beyond the Borders

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