Chern-Simons gravity and PT Symmetry
arxiv(2024)
摘要
This paper considers a string inspired effective axion anomalously coupled to
Abelian gauge fields and gravity. By considering the renormalisation group
flows in the flat space limit it is observed that a Hermitian parity symmetric
phase of the theory can flow into a non-Hermitian parity-time symmetric phase.
This behavior has implications for Chern-Simons gravity. The repulsive nature
of gravity, usually attributed to the existence of a positive cosmological
constant, is reinterpreted at large scales as a flow from a Hermitian
(attractive) gravitational theory, to a PT-symmetric (repulsive) gravity in the
infrared. The discussion here is presented in the context of a Chern-Simons
gravitational theory but it may be valid more generally in gravity with
torsion. The validity of such a scenario in realistic theories might alleviate
the need for de Sitter phases in the current epoch of the cosmological
evolution, thus avoiding their associated conceptual and technical
complications.
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