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dc.contributor.author
Bueno, Pablo
dc.contributor.author
Casini, Horacio German
dc.date.available
2021-09-15T17:52:20Z
dc.date.issued
2020-05
dc.identifier.citation
Bueno, Pablo; Casini, Horacio German; Reflected entropy, symmetries and free fermions; Springer; Journal of High Energy Physics; 2020; 5; 5-2020; 1-29
dc.identifier.issn
1126-6708
dc.identifier.uri
http://hdl.handle.net/11336/140416
dc.description.abstract
Exploiting the split property of quantum field theories (QFTs), a notion of von Neumann entropy associated to pairs of spatial subregions has been recently proposed both in the holographic context — where it has been argued to be related to the entanglement wedge cross section — and for general QFTs. We argue that the definition of this “reflected entropy” can be canonically generalized in a way which is particularly suitable for orbifold theories — those obtained by restricting the full algebra of operators to those which are neutral under a global symmetry group. This turns out to be given by the full-theory reflected entropy minus an entropy associated to the expectation value of the “twist” operator implementing the symmetry operation. Then we show that the reflected entropy for Gaussian fermion systems can be simply written in terms of correlation functions and we evaluate it numerically for two intervals in the case of a two-dimensional Dirac field as a function of the conformal cross-ratio. Finally, we explain how the aforementioned twist operators can be constructed and we compute the corresponding expectation value and reflected entropy numerically in the case of the ℤ2 bosonic subalgebra of the Dirac field.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/
dc.subject
CONFORMAL FIELD THEORY
dc.subject
GLOBAL SYMMETRIES
dc.subject.classification
Física de Partículas y Campos
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Reflected entropy, symmetries and free fermions
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-09-06T20:14:28Z
dc.journal.volume
2020
dc.journal.number
5
dc.journal.pagination
1-29
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Bueno, Pablo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
dc.description.fil
Fil: Casini, Horacio German. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
dc.journal.title
Journal of High Energy Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/JHEP05(2020)103
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP05%282020%29103
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