Path Integral Complexity and Kasner singularities
- URL: http://arxiv.org/abs/2111.04405v1
- Date: Mon, 8 Nov 2021 12:15:18 GMT
- Title: Path Integral Complexity and Kasner singularities
- Authors: Pawel Caputa, Diptarka Das, Sumit R. Das
- Abstract summary: We consider boundary theories with time dependent couplings which are dual to Kasner-AdS metrics in the bulk with a time dependent dilaton.
We show that holographic path integral complexity decreases as we approach the singularity, consistent with earlier results from holographic complexity conjectures.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We explore properties of path integral complexity in field theories on time
dependent backgrounds using its dual description in terms of Hartle-Hawking
wavefunctions. In particular, we consider boundary theories with time dependent
couplings which are dual to Kasner-AdS metrics in the bulk with a time
dependent dilaton. We show that holographic path integral complexity decreases
as we approach the singularity, consistent with earlier results from
holographic complexity conjectures. Furthermore, we find examples where the
complexity becomes universal i.e., independent of the Kasner exponents, but the
properties of the path integral tensor networks depend sensitively on this
data.
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