×

The monopole problem in holographic cosmology. (English) Zbl 1509.83048

Summary: In this letter we clarify that the monopole problem can always be solved in bosonic holographic cosmology, by the analogue of “dilution” in inflation, which is the fact that the electric current is an irrelevant operator in the dual field theory. We show that not only specific toy models solve the problem, but any purely bosonic member of the phenomenological class, of super-renormalizable, generalized conformal symmetric models.

MSC:

83F05 Relativistic cosmology
81V60 Mono-, di- and multipole moments (EM and other), gyromagnetic relations
83E05 Geometrodynamics and the holographic principle
83C50 Electromagnetic fields in general relativity and gravitational theory
53C18 Conformal structures on manifolds
37E20 Universality and renormalization of dynamical systems

References:

[1] Brout, R.; Englert, F.; Gunzig, E., The creation of the universe as a quantum phenomenon, Ann. Phys., 115, 78 (1978)
[2] Starobinsky, A. A., Spectrum of relict gravitational radiation and the early state of the universe, JETP Lett., 30, 682-685 (1979)
[3] Starobinsky, A. A., A new type of isotropic cosmological models without singularity, Adv. Ser. Astrophys. Cosmol., 3, 130-133 (1987)
[4] Sato, K., First order phase transition of a vacuum and expansion of the universe, Mon. Not. R. Astron. Soc., 195, 467-479 (1981)
[5] Guth, A. H., The inflationary universe: a possible solution to the horizon and flatness problems, Phys. Rev. D. Phys. Rev. D, Adv. Ser. Astrophys. Cosmol., 3, 139-356 (1987) · Zbl 1371.83202
[6] Linde, A. D., A new inflationary universe scenario: a possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems, Phys. Lett. B. Phys. Lett. B, Adv. Ser. Astrophys. Cosmol., 3, 149-393 (1987)
[7] Albrecht, A.; Steinhardt, P. J., Cosmology for grand unified theories with radiatively induced symmetry breaking, Phys. Rev. Lett.. Phys. Rev. Lett., Adv. Ser. Astrophys. Cosmol., 3, 158-1223 (1987)
[8] Maldacena, J. M., The large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.. Int. J. Theor. Phys., Adv. Theor. Math. Phys., 2, 23-1133 (1998)
[9] Nastase, H., Introduction to the ADS/CFT Correspondence (2015), Cambridge University Press: Cambridge University Press Cambridge
[10] Ammon, M.; Erdmenger, J., Gauge/Gravity Duality (2015), Cambridge University Press: Cambridge University Press Cambridge · Zbl 1327.81001
[11] McFadden, P.; Skenderis, K., Holography for cosmology, Phys. Rev. D, 81, Article 021301 pp. (2010)
[12] McFadden, P.; Skenderis, K., The holographic universe, J. Phys. Conf. Ser., 222, Article 012007 pp. (2010)
[13] Afshordi, N.; Coriano, C.; Delle Rose, L.; Gould, E.; Skenderis, K., From Planck data to Planck era: observational tests of holographic cosmology, Phys. Rev. Lett., 118, 4, Article 041301 pp. (2017)
[14] Afshordi, N.; Gould, E.; Skenderis, K., Constraining holographic cosmology using Planck data, Phys. Rev. D, 95, 12, Article 123505 pp. (2017)
[15] Nastase, H.; Skenderis, K., Holography for the very early Universe and the classic puzzles of Hot Big Bang cosmology, Phys. Rev. D, 101, 2, Article 021901 pp. (2020)
[16] Nastase, H., Holographic cosmology solutions of problems with pre-inflationary cosmology, J. High Energy Phys., 12, Article 026 pp. (2020)
[17] Nastase, H., Reheating in holographic cosmology and connecting to Λ-MSSM constructions for particle physics
[18] Zeldovich, Y.; Khlopov, M., On the concentration of relic magnetic monopoles in the universe, Phys. Lett. B, 79, 239-241 (1978)
[19] Weinberg, S., Cosmology (2008) · Zbl 1147.83002
[20] Witten, E., SL(2,Z) action on three-dimensional conformal field theories with Abelian symmetry · Zbl 1160.81457
[21] Herzog, C. P.; Kovtun, P.; Sachdev, S.; Son, D. T., Quantum critical transport, duality, and M-theory, Phys. Rev. D, 75, Article 085020 pp. (2007)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.