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Holographic Duality with a View Toward Many-Body Physics
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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We analytically study the quasinormal modes of a scalar perturbation around a rotating BTZ-like black hole in the Einstein-bumblebee gravity. We observe that the Lorentz symmetry breaking parameter imprints only in the imaginary parts of the quasinormal ...
Chengjia Chen, Qiyuan Pan, Jiliang Jing
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Holographic R\'enyi entropy in AdS$_3$/LCFT$_2$ correspondence [PDF]
The recent study in AdS$_3$/CFT$_2$ correspondence shows that the tree level contribution and 1-loop correction of holographic R\'enyi entanglement entropy (HRE) exactly match the direct CFT computation in the large central charge limit.
Chen, Bin, Song, Feng-yan, Zhang, Jia-ju
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Spinors and the AdS/CFT correspondence [PDF]
We consider a free massive spinor field in Euclidean Anti-de Sitter space. The usual Dirac action in bulk is supplemented by a certain boundary term. The boundary conditions of the field are parametrized by a spinor on the boundary, subject to a projection. We calculate the dependence of the partition function on this boundary spinor. The result agrees
Henningson, M, Sfetsos, K
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Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields [PDF]
We use the AdS/CFT correspondence to calculate CFT correlation functions of vector and spinor fields. The connection between the AdS and boundary fields is properly treated via a Dirichlet boundary value problem.Comment: 14 pages, LaTeX2e with amsmath ...
B. Allen+17 more
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Imaging black holes through the AdS/CFT correspondence
Thermal states in some quantum field theories (QFTs) correspond to black holes in asymptotically AdS spacetime in the $\mathrm{AdS}/\mathrm{CFT}$ correspondence.
K. Hashimoto+2 more
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Information geometry encoded in bulk geometry
We study how information geometry is described by bulk geometry in the gauge/gravity correspondence. We consider a quantum information metric that measures the distance between the ground states of a CFT and a theory obtained by perturbing the CFT.
Asato Tsuchiya, Kazushi Yamashiro
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Two-Boundaries AdS/CFT Correspondence in Dilatonic Gravity [PDF]
We discuss dilatonic gravity (bulk theory) from the point of view of (generalized) AdS/CFT correspondence. Self-consistent dilatonic background is considered.
Behrndt+12 more
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The magnon kinematics of the AdS/CFT correspondence [PDF]
The planar dilatation operator of N=4 supersymmetric Yang-Mills is the hamiltonian of an integrable spin chain whose length is allowed to fluctuate. We will identify the dynamics of length fluctuations of planar N=4 Yang-Mills with the existence of an abelian Hopf algebra Z symmetry with non-trivial co-multiplication and antipode.
Cesar Gomez+2 more
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From path integrals to tensor networks for the AdS/CFT correspondence [PDF]
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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