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Long-Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions in the Presence of a Discrete Spectrum
The long-time asymptotic behavior of solutions to the focusing nonlinear Schrödinger (NLS) equation on the line with symmetric, nonzero boundary...
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Probing de Sitter from the horizon
In a QFT on de Sitter background, one can study correlators between fields pushed to the future and past horizons of a comoving observer. This is a...
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Exploring the Quantum Spectral Curve for AdS3/CFT2
Despite the rich and fruitful history of the integrability approach to string theory on the AdS 3 × S 3 × T 4 background, it has not been possible to...
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Generalizations of the Model
This chapter further develops the concepts introduced in the previous chapter at a level suitable for a reader without prior knowledge of spontaneous...
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Anderson Localization in the Subwavelength Regime
In this paper, we use recent breakthroughs in the study of coupled subwavelength resonator systems to reveal new insight into the mechanisms...
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Resurgence and 1/N Expansion in Integrable Field Theories
In theories with renormalons the perturbative series is factorially divergent even after restricting to a given order in 1 /N , making the 1 /N ...
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On Phase Transitions in Coupled Map Lattices
Coupled map lattices are a paradigm for studying fundamental questions in spatially extended dynamical systems. Within this tutorial we focus on...
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On the black hole/string transition
We discuss aspects of the possible transition between small black holes and highly excited fundamental strings. We focus on the connection between...
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A solvable model of flat space holography
We propose an explicit realization of flat space holography in two dimensions where both sides of the duality are independently defined and the...
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On the Spectral Form Factor for Random Matrices
In the physics literature the spectral form factor (SFF), the squared Fourier transform of the empirical eigenvalue density, is the most common tool...
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Combined effect of AB-flux field and inverse square plus Yukawa potential on diatomic molecules placed at point-like global monopole
AbstractThis paper aims to investigate the combined effect of AB-flux field and inverse square plus Yukawa potential (ISPYP) on the bound state...
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Attractive (s)axions: cosmological trackers at the boundary of moduli space
We study the cosmological evolution of a FLRW universe dominated by the energy density of moduli close to asymptotic regions of moduli space. Due to...
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Krylov complexity in the IP matrix model
The IP matrix model is a simple large N quantum mechanical model made up of an adjoint harmonic oscillator plus a fundamental harmonic oscillator. It...
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Comments on the double cone wormhole
In this paper we revisit the double cone wormhole introduced by Saad, Shenker and Stanford (SSS), which was shown to reproduce the ramp in the...
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Supersymmetric localization: 𝒩 = (2, 2) theories on S2 and AdS2
Application of the supersymmetric localization method to theories on anti-de Sitter spacetime has received recent interest, yet still remains as a...
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Quantum Hamiltonians with Weak Random Abstract Perturbation. II. Localization in the Expanded Spectrum
We consider multi-dimensional Schrödinger operators with a weak random perturbation distributed in the cells of some periodic lattice. In every cell...
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Spectrum Analysis for the Vlasov–Poisson–Boltzmann System
By identifying a norm capturing the effect of the forcing governed by the Poisson equation, we give a detailed spectrum analysis on the linearized...
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On the conformal spin dependence of the perturbative QCD vacuum singularity
We study the four-gluon scattering amplitude in the high energy limit of QCD written in terms of its conformal expansion. We highlight the need to...