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Holographic codes from hyperinvariant tensor networks [PDF]
Nature Communications, 2023 Holographic quantum-error correcting codes are models of bulk/boundary dualities such as the anti-de Sitter/conformal field theory (AdS/CFT) correspondence, where a higher-dimensional bulk geometry is associated with the code’s logical degrees of freedom.
Matthew Steinberg +2 more
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Holographic Duality with a View Toward Many-Body Physics [PDF]
Advances in High Energy Physics, 2010 These are notes based on a series of lectures given at the KITP workshop Quantum Criticality and the AdS/CFT Correspondence in July, 2009. The goal of the lectures was to introduce condensed matter physicists to the AdS/CFT correspondence.
John McGreevy
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Tensor network and (p-adic) AdS/CFT
Journal of High Energy Physics, 2018 We use the tensor network living on the Bruhat-Tits tree to give a concrete realization of the recently proposed p-adic AdS/CFT correspondence (a holographic duality based on the p-adic number field ℚ p ).
Arpan Bhattacharyya +3 more
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AdS/CFT correspondence in operator formalism [PDF]
Journal of High Energy Physics, 2018 In this paper we study the AdS/CFT correspondence in the operator formalism without assuming the GKPW relation. We explicitly show that the low energy spectrum of the large N limit of CFT, which is realized by a strong coupling gauge theory, is identical
Seiji Terashima
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Fermions in non-relativistic AdS/CFT correspondence [PDF]
Physical Review D, 2009 We extend the non-relativistic AdS/CFT correspondence to the fermionic fields. In particular we study the two point function of a fermionic operator in non-relativistic CFTs by making use of a massive fermion propagating in geometries with Schrodinger ...
Ali Davody +6 more
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Supersymmetry in the AdS/CFT Correspondence [PDF]
Physics Letters B, 1998 We study how local symmetry transformations of (p, q) anti de Sitter supergravities in three dimensions act on fields on the two-dimensional boundary. The boundary transformation laws are shown to be the same as those of two-dimensional (p, q) conformal ...
Achúcarro +9 more
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AdS/CFT correspondence and Geometry [PDF]
, 2004 In the first part of this paper we provide a short introduction to the AdS/CFT correspondence and to holographic renormalization. We discuss how QFT correlation functions, Ward identities and anomalies are encoded in the bulk geometry. In the second part
Papadimitriou, Ioannis +1 more
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Discrete gravity on random tensor network and holographic Rényi entropy
Journal of High Energy Physics, 2017 In this paper we apply the discrete gravity and Regge calculus to tensor networks and Anti-de Sitter/conformal field theory (AdS/CFT) correspondence. We construct the boundary many-body quantum state |Ψ〉 using random tensor networks as the holographic ...
Muxin Han, Shilin Huang
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Holographic duality between local Hamiltonians from random tensor networks
Journal of High Energy Physics, 2022 The AdS/CFT correspondence realises the holographic principle where information in the bulk of a space is encoded at its border. We are yet a long way from a full mathematical construction of AdS/CFT, but toy models in the form of holographic quantum ...
Harriet Apel, Tamara Kohler, Toby Cubitt
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Tensor network models of AdS/qCFT [PDF]
Quantum, 2022 The study of critical quantum many-body systems through conformal field theory (CFT) is one of the pillars of modern quantum physics. Certain CFTs are also understood to be dual to higher-dimensional theories of gravity via the anti-de Sitter/conformal ...
Alexander Jahn +2 more
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