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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
Ioannis Papadimitriou, Kostas Skenderis
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The AdS/CFT correspondence [PDF]
Classical and Quantum Gravity, 2014 We give a brief review of the AdS/CFT correspondence, which posits the equivalence between a certain gravitational theory and a lower-dimensional non-gravitational one.
V. Hubeny
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From AdS/CFT correspondence to hydrodynamics [PDF]
Journal of High Energy Physics, 2002 We compute the correlation functions of R-charge currents and components of the stress-energy tensor in the strongly coupled large-N finite-temperature = 4 supersymmetric Yang-Mills theory, following a recently formulated minkowskian AdS/CFT prescription.
G. Policastro, D. Son, A. Starinets
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From path integrals to tensor networks for the AdS/CFT correspondence [PDF]
, 2016 In this paper, we discuss tensor network descriptions of $\mathrm{AdS}/\mathrm{CFT}$ from two different viewpoints. First, we start with a Euclidean path-integral computation of ground state wave functions with a UV cutoff.
Masamichi Miyaji +2 more
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p-adic CFT is a holographic tensor network
Journal of High Energy Physics, 2019 The p-adic AdS/CFT correspondence relates a CFT living on the p-adic numbers to a system living on the Bruhat-Tits tree. Modifying our earlier proposal [1] for a tensor network realization of p-adic AdS/CFT, we prove that the path integral of a p-adic ...
Ling-Yan Hung +2 more
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Spin Matrix theory: a quantum mechanical model of the AdS/CFT correspondence [PDF]
, 2014 A bstractWe introduce a new quantum mechanical theory called Spin Matrix theory (SMT). The theory is interacting with a single coupling constant g and is based on a Hilbert space of harmonic oscillators with a spin index taking values in a Lie (super ...
T. Harmark, M. Orselli
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Asymptotic perfect fluid dynamics as a consequence of AdS/CFT correspondence [PDF]
, 2005 We study the dynamics of strongly interacting gauge-theory matter (modelling quark-gluon plasma) in a boost-invariant setting using the AdS/CFT correspondence.
R. Janik, R. Peschanski
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Pressure and Compressibility of Conformal Field Theories from the AdS/CFT Correspondence [PDF]
Entropy, 2016 The equation of state associated with ${\cal N}=4$ supersymmetric Yang-Mills in 4 dimensions, for $SU(N)$ in the large $N$ limit, is investigated using the AdS/CFT correspondence.
B. Dolan
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Linearized field equations of gauge fields from the entanglement first law
Journal of High Energy Physics, 2019 In the context of the AdS/CFT correspondence linearized field equations of vector and antisymmetric tensor gauge fields around an AdS background are obtained from the entanglement first law of CFTs. The holographic charged entanglement entropy contains a
Kenta Hasegawa, Yoshiaki Tanii
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AdS / CFT correspondence and topological field theory [PDF]
, 1998 In = 4 super Yang-Mills theory on a four-manifold M, one can specify a discrete magnetic flux valued in H2(M,N). This flux is encoded in the AdS/CFT correspondence in terms of a five-dimensional topological field theory with Chern-Simons action.
E. Witten
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