Entanglement Renormalization and Two Dimensional String Theory
Javier Molina-Vilaplana
TL;DR
This paper explores how entanglement renormalization in a (1+1) free boson relates to two-dimensional string theory, revealing insights into emergent gravity from quantum entanglement.
Contribution
It formulates the entanglement renormalization flow as a path integral leading to a connection with non-critical string theory in two dimensions.
Findings
Effective theory resembles the dilaton term of 2D string theory
Provides a novel link between entanglement structure and emergent gravity
Offers insights into how gravity can emerge from quantum entanglement
Abstract
The entanglement renormalization flow of a (1+1) free boson is formulated as a path integral over some auxiliary scalar fields. The resulting effective theory for these fields amounts to the dilaton term of non-critical string theory in two spacetime dimensions. A connection between the scalar fields in the two theories is provided, allowing to acquire novel insights into how a theory of gravity emerges from the entanglement structure of another one without gravity.
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