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Universality of Replica-Symmetry Breaking in the Transverse Field Sherrington–Kirkpatrick Model
The existence theorem for replica-symmetry breaking (RSB) in the transverse field Sherrington–Kirkpatrick (SK) model is extended to the model with a...
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Revisiting the Replica Trick: Competition Between Spin Glass and Conventional Order
There is an ambiguity in how to apply the replica trick to spin glass models which have additional order parameters unrelated to spin glass...
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Holographic quantum distances and replica trick
This paper gives concrete examples to exhibit how to use the replica trick to calculate the quantum (quasi-)distances holographically. First, we...
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Phase transition in von Neumann entropy from replica symmetry breaking
We study the entanglement transition in monitored Brownian SYK chains in the large- N limit. Without measurement the steady state n -th Rényi entropy...
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Replica Symmetry Breaking in Dense Hebbian Neural Networks
Understanding the glassy nature of neural networks is pivotal both for theoretical and computational advances in Machine Learning and Theoretical...
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Replica wormholes and holographic entanglement negativity
Recent work has shown how to understand the Page curve of an evaporating black hole from replica wormholes. However, more detailed information about...
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Replica wormholes from Liouville theory
The replica wormholes are a key to the existence of the islands that play a central role in a recent proposal for the resolution of the black hole...
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Replica wormholes and the black hole interior
Recent work has shown how to obtain the Page curve of an evaporating black hole from holographic computations of entanglement entropy. We show how...
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Complexity via replica trick
We consider the complexity of a single-sided AdS black hole as modelled by an end-of-the-world brane. In addition we present multi-boundary partition...
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Large and small corrections to the JLMS Formula from replica wormholes
The JLMS formula relates the bulk and boundary relative entropies and is fundamental to the holographic dictionary, providing justification for...
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Replica-Symmetry Breaking Transitions in the Large Deviations of the Ground-State of a Spherical Spin-Glass
We derive, within the replica formalism, a generalisation of the Crisanti–Sommers formula to describe the large deviation function (LDF)
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The O(N)-flavoured replica twist defect
Replica twist defects are of codimension two and enter in quantum information when finding the Rényi entropy. In particular, they generate n replicas...
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Strong Replica Symmetry in High-Dimensional Optimal Bayesian Inference
We consider generic optimal Bayesian inference, namely, models of signal reconstruction where the posterior distribution and all hyperparameters are...
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One-Step Replica Symmetry Breaking of Random Regular NAE-SAT II
Continuing our earlier work in Nam et al. (One-step replica symmetry breaking of random regular NAE-SAT I, ar**v:2011.14270 , 2020), we study the...
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Fluctuation Results for Multi-species Sherrington-Kirkpatrick Model in the Replica Symmetric Regime
We study the Replica Symmetric region of general multi-species Sherrington-Kirkpatrick (MSK) Model and answer some of the questions raised in...
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Entropy variations and light ray operators from replica defects
We study the defect operator product expansion (OPE) of displacement operators in free and interacting conformal field theories using replica...
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Replica wormholes and capacity of entanglement
We consider the capacity of entanglement as a probe of the Hawking radiation in a two-dimensional dilaton gravity coupled with conformal matter of...
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Holographic entanglement negativity and replica symmetry breaking
Since the work of Ryu and Takayanagi, deep connections between quantum entanglement and spacetime geometry have been revealed. The negative...
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Replica Symmetry and Replica Symmetry Breaking
In this chapter, we introduce underlying physics behind the concept of replica symmetry, and replica symmetry breaking, which plays an important role...