Entanglement Renormalization and Two Dimensional String Theory

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.

20 pages. v3 minor corrections. Accepted for publication in Physics Letters B

References in corpus (2)

• Entanglement entropy in two dimensional string theory
• Duality constructions from quantum state manifolds

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