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CFT driven cosmology and conformal higher spin fields | | Andrei O. Barvinsky
; | | Date: |
24 Nov 2015 | | Abstract: | Conformal higher spin (CHS) field theory, which is a solid part of recent
advanced checks of AdS/CFT correspondence, finds applications in cosmology.
Hidden sector of weakly interacting CHS fields suggests a resolution of the
hierarchy problem in the model of initial conditions for inflationary cosmology
driven by conformal field theory. These initial conditions are set by thermal
garland type cosmological instantons in the sub-planckian energy range for the
model of CHS fields with a large positive coefficient $eta$ of the
topological Gauss-Bonnet term in their total conformal anomaly. Negative values
of $eta$ in the models dominated by fermionic CHS fields generate the
so-called necklace type instantons which lead to a divergent intrinsically
inconsistent statistical sum for ensemble of cosmologies. Anomaly free models
of an infinite tower of CHS fields with $zeta$-function regularized $eta=0$
generate vacuum necklace instantons. They originate due to an exotic property
of these models -- their negative thermal energy caused by over-subtraction of
the spin sum divergences by the $zeta$-function regularization. These
instantons lead to the known infrared catastrophe of the cosmological
no-boundary state distribution infinitely peaked at the vanishing value of the
effective cosmological constant. These problems are discussed in context of
unitarity violation by higher-derivative actions of CHS fields. | | Source: | arXiv, 1511.7625 | | Services: | Forum | Review | PDF | Favorites | |
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