Reflected Multientropy and Its Holographic Dual

We introduce a mixed-state generalization of the multientropy through the canonical purification, which we call “reflected multientropy.” 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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>c</a:mi></a:math> limit. At both zero and finite temperature, the field-theoretical results match the holographic results, supporting our holographic conjecture of this new measure.