Reflected multi-entropy and its holographic dual

TL;DR

This paper introduces reflected multi-entropy, a new mixed-state entanglement measure, and proposes its holographic dual, with calculations confirming the duality at large central charge and various temperatures.

Contribution

It defines reflected multi-entropy via canonical purification and establishes its holographic dual, supported by field-theoretical and holographic calculations.

Findings

Field-theoretical and holographic results agree at large c

Results hold at both zero and finite temperature

Supports the holographic conjecture of the new measure

Abstract

We introduce a mixed-state generalization of the multi-entropy through the canonical purification, which we call reflected multi-entropy. We propose the holographic dual of this measure. For the tripartite case, a field-theoretical calculation is performed using a six-point function of twist operators at large $c$ limit. At both zero and finite temperature, the field-theoretical results match the holographic results, supporting our holographic conjecture of this new measure.