Monotonicity conjecture for multi-party entanglement. Part I

Gadde, Abhijit; Jain, Shraiyance; Krishna, Vineeth; Kulkarni, Harshal; Sharma, Trakshu

doi:10.1007/jhep02(2024)025

Cited by 1 publication

(2 citation statements)

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“…Furthermore, the argument leading up to (42) remain unchanged so that κ is the same for all choices of boundary region (see figure 6). Generalizations of these relationships to q > 3 have already been considered in [21] (see figure 7). Now comparing with the boundary proposal and specializing to q = 3 we have…”

Section: R E 2 D 3 T 1 Z / 6 C J W L G S 2 I Y H D 2 X P W 4 P Y J M ...mentioning

confidence: 98%

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Multi-entropy at low Renyi index in 2d CFTs

Harper,

Takayanagi,

Tsuda

2024

SciPost Phys.

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For a static time slice of AdS_33 we describe a particular class of minimal surfaces which form trivalent networks of geodesics. Through geometric arguments we provide evidence that these surfaces describe a measure of multipartite entanglement. By relating these surfaces to Ryu-Takayanagi surfaces it can be shown that this multipartite contribution is related to the angles of intersection of the bulk geodesics. A proposed boundary dual [Phys. Rev. D 106, 126001 (2022), J. High Energy Phys. 08, 202 (2023), J. High Energy Phys. 05, 008 (2023)], the multi-entropy, generalizes replica trick calculations involving twist operators by considering monodromies with finite group symmetry beyond the cyclic group used for the computation of entanglement entropy. We make progress by providing explicit calculations of Renyi multi-entropy in two dimensional CFTs and geometric descriptions of the replica surfaces for several cases with low genus. We also explore aspects of the free fermion and free scalar CFTs. For the free fermion CFT we examine subtleties in the definition of the twist operators used for the calculation of Renyi multi-entropy. In particular the standard bosonization procedure used for the calculation of the usual entanglement entropy fails and a different treatment is required.

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Section: R E 2 D 3 T 1 Z / 6 C J W L G S 2 I Y H D 2 X P W 4 P Y J M ...mentioning

confidence: 98%

“…where the last sign corresponds to the sign of iε, and the other signs to the choice of replica sheets, as in Fig. (21). We take ε > 0 to be an infinitesimally small.…”

Section: Locally Excited Statesmentioning

confidence: 99%