Matches in SemOpenAlex for { <https://semopenalex.org/work/W3210542319> ?p ?o ?g. }
- W3210542319 abstract "A bstract The entanglement entropy corresponding to a smooth region in general three-dimensional CFTs contains a constant universal term, − F ⊂ S EE . For a disk region, F | disk ≡ F 0 coincides with the free energy on 𝕊 3 and provides an RG-monotone for general theories. As opposed to the analogous quantity in four dimensions, the value of F generally depends in a complicated (and non-local) way on the geometry of the region and the theory under consideration. For small geometric deformations of the disk in general CFTs as well as for arbitrary regions in holographic theories, it has been argued that F is precisely minimized by disks. Here, we argue that F is globally minimized by disks with respect to arbitrary regions and for general theories. The proof makes use of the strong subadditivity of entanglement entropy and the geometric fact that one can always place an osculating circle within a given smooth entangling region. For topologically non-trivial entangling regions with n B boundaries, the general bound can be improved to F ≥ n B F 0 . In addition, we provide accurate approximations to F valid for general CFTs in the case of elliptic regions for arbitrary values of the eccentricity which we check against lattice calculations for free fields. We also evaluate F numerically for more general shapes in the so-called “Extensive Mutual Information model”, verifying the general bound." @default.
- W3210542319 created "2021-11-08" @default.
- W3210542319 creator A5009939994 @default.
- W3210542319 creator A5072678939 @default.
- W3210542319 creator A5080615327 @default.
- W3210542319 creator A5082489532 @default.
- W3210542319 date "2021-10-21" @default.
- W3210542319 modified "2023-09-27" @default.
- W3210542319 title "Disks globally maximize the entanglement entropy in 2 + 1 dimensions" @default.
- W3210542319 cites W1521797664 @default.
- W3210542319 cites W1565112435 @default.
- W3210542319 cites W1590232364 @default.
- W3210542319 cites W1603841902 @default.
- W3210542319 cites W1846387892 @default.
- W3210542319 cites W1955559887 @default.
- W3210542319 cites W1969706687 @default.
- W3210542319 cites W1970479743 @default.
- W3210542319 cites W1971593785 @default.
- W3210542319 cites W1977928007 @default.
- W3210542319 cites W1983107978 @default.
- W3210542319 cites W1990045935 @default.
- W3210542319 cites W2006892161 @default.
- W3210542319 cites W2018194981 @default.
- W3210542319 cites W2032834828 @default.
- W3210542319 cites W2050368830 @default.
- W3210542319 cites W2081265834 @default.
- W3210542319 cites W2084787359 @default.
- W3210542319 cites W2099042699 @default.
- W3210542319 cites W2110283120 @default.
- W3210542319 cites W2118748251 @default.
- W3210542319 cites W2139275006 @default.
- W3210542319 cites W2143018662 @default.
- W3210542319 cites W2148545876 @default.
- W3210542319 cites W2157171215 @default.
- W3210542319 cites W2301808531 @default.
- W3210542319 cites W2330098160 @default.
- W3210542319 cites W2415978884 @default.
- W3210542319 cites W2604578214 @default.
- W3210542319 cites W2611918742 @default.
- W3210542319 cites W2734648335 @default.
- W3210542319 cites W2735331758 @default.
- W3210542319 cites W2794380457 @default.
- W3210542319 cites W2810941494 @default.
- W3210542319 cites W2963618607 @default.
- W3210542319 cites W2980821150 @default.
- W3210542319 cites W3005568555 @default.
- W3210542319 cites W3036193711 @default.
- W3210542319 cites W3093180436 @default.
- W3210542319 cites W3098603053 @default.
- W3210542319 cites W3098796491 @default.
- W3210542319 cites W3098991820 @default.
- W3210542319 cites W3099457722 @default.
- W3210542319 cites W3099819644 @default.
- W3210542319 cites W3100147527 @default.
- W3210542319 cites W3100437125 @default.
- W3210542319 cites W3100613786 @default.
- W3210542319 cites W3101412679 @default.
- W3210542319 cites W3103270992 @default.
- W3210542319 cites W3103688923 @default.
- W3210542319 cites W3104808098 @default.
- W3210542319 cites W3113154017 @default.
- W3210542319 cites W3121236311 @default.
- W3210542319 cites W3124121582 @default.
- W3210542319 cites W3125830317 @default.
- W3210542319 cites W3165248976 @default.
- W3210542319 cites W3203973223 @default.
- W3210542319 doi "https://doi.org/10.1007/jhep10(2021)179" @default.
- W3210542319 hasPublicationYear "2021" @default.
- W3210542319 type Work @default.
- W3210542319 sameAs 3210542319 @default.
- W3210542319 citedByCount "6" @default.
- W3210542319 countsByYear W32105423192022 @default.
- W3210542319 countsByYear W32105423192023 @default.
- W3210542319 crossrefType "journal-article" @default.
- W3210542319 hasAuthorship W3210542319A5009939994 @default.
- W3210542319 hasAuthorship W3210542319A5072678939 @default.
- W3210542319 hasAuthorship W3210542319A5080615327 @default.
- W3210542319 hasAuthorship W3210542319A5082489532 @default.
- W3210542319 hasBestOaLocation W32105423191 @default.
- W3210542319 hasConcept C106301342 @default.
- W3210542319 hasConcept C114614502 @default.
- W3210542319 hasConcept C121040770 @default.
- W3210542319 hasConcept C121332964 @default.
- W3210542319 hasConcept C134306372 @default.
- W3210542319 hasConcept C19220575 @default.
- W3210542319 hasConcept C202444582 @default.
- W3210542319 hasConcept C2524010 @default.
- W3210542319 hasConcept C2834757 @default.
- W3210542319 hasConcept C33332235 @default.
- W3210542319 hasConcept C33923547 @default.
- W3210542319 hasConcept C62520636 @default.
- W3210542319 hasConcept C77553402 @default.
- W3210542319 hasConcept C84114770 @default.
- W3210542319 hasConceptScore W3210542319C106301342 @default.
- W3210542319 hasConceptScore W3210542319C114614502 @default.
- W3210542319 hasConceptScore W3210542319C121040770 @default.
- W3210542319 hasConceptScore W3210542319C121332964 @default.
- W3210542319 hasConceptScore W3210542319C134306372 @default.
- W3210542319 hasConceptScore W3210542319C19220575 @default.
- W3210542319 hasConceptScore W3210542319C202444582 @default.