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Three-Receiver Quantum Broadcast Channels: Classical Communication with Quantum Non-unique Decoding
Three-Receiver Quantum Broadcast Channels: Classical Communication with Quantum Non-unique Decoding
In network communication, it is common in broadcasting scenarios for there to exist a hierarchy among receivers based on i...
Scaling of the Lyapunov Exponent at a Balanced Hyperbolic Critical Point
Scaling of the Lyapunov Exponent at a Balanced Hyperbolic Critical Point
In both the random hopping model and at topological phase transitions in one-dimensional chiral systems, the Lyapunov expo...
Linear Response and Resonances in Adiabatic Time-Dependent Density Functional Theory
Linear Response and Resonances in Adiabatic Time-Dependent Density Functional Theory
We consider the electrons of a molecule in the adiabatic time-dependent density functional theory approximation. We establ...
Limit Shapes and Fluctuations for $$(GL_{n},GL_{k})$$ Skew Howe Duality
Limit Shapes and Fluctuations for $$(GL_{n},GL_{k})$$ Skew Howe Duality
We consider the probability measures on Young diagrams in the $$n\times k$$ rectangle obtained by specializations with par...
Symmetry Topological Field Theory and Non-Abelian Kramers–Wannier Dualities of Generalised Ising Models
Symmetry Topological Field Theory and Non-Abelian Kramers–Wannier Dualities of Generalised Ising Models
For a class of two-dimensional Euclidean lattice field theories admitting topological lines encoded into a spherical fusio...
Modular Features of Superstring Scattering Amplitudes: Generalised Eisenstein Series and Theta Lifts
Modular Features of Superstring Scattering Amplitudes: Generalised Eisenstein Series and Theta Lifts
In previous papers, it has been shown that the coefficients of terms in the large-N expansion of a certain integrated four...
Linking Disks, Spinning Vortices and Exponential Networks of Augmentation Curves
Linking Disks, Spinning Vortices and Exponential Networks of Augmentation Curves
We propose a mirror derivation of the quiver description of open topological strings known as the knots-quivers correspond...
Toward Optimal Convergence Rates for the Quantum Central Limit Theorem
Toward Optimal Convergence Rates for the Quantum Central Limit Theorem
The quantum central limit theorem for bosonic quantum systems states that the sequence of states $$\rho ^$$ obtained from ...
Long-Time Quantum–Classical Correspondence for Open Systems in Trace Norm
Long-Time Quantum–Classical Correspondence for Open Systems in Trace Norm
We consider a frictionless system coupled to an external Markovian environment. The quantum and classical evolution of suc...
Boundary Structure of the Standard Model Coupled to Gravity
Boundary Structure of the Standard Model Coupled to Gravity
In this article a description of the reduced phase space of the standard model coupled to gravity is given. For space or t...
The Asymptotic Expansion of the Spacetime Metric at the Event Horizon
The Asymptotic Expansion of the Spacetime Metric at the Event Horizon
Hawking’s local rigidity theorem, proven in the smooth setting by Alexakis-Ionescu-Klainerman, says that the event h...
A Construction of Approximately Self-Similar Naked Singularities for the Spherically Symmetric Einstein-Scalar Field System
A Construction of Approximately Self-Similar Naked Singularities for the Spherically Symmetric Einstein-Scalar Field System
In this work, we identify stable perturbations of k-self-similar naked singularities, in the full parameter range $$k^2 \i...
A Lower Semicontinuous Time Separation Function for $$C^0$$ Spacetimes
A Lower Semicontinuous Time Separation Function for $$C^0$$ Spacetimes
The time separation function (or Lorentzian distance function) is a fundamental tool used in Lorentzian geometry. For smoo...
A New Gauge for Gravitational Perturbations of Kerr Spacetimes I: The Linearised Theory
A New Gauge for Gravitational Perturbations of Kerr Spacetimes I: The Linearised Theory
We propose a new geometric framework to address the stability of the Kerr solution to gravitational perturbations in the f...
Perturbative BF Theory in Axial, Anosov Gauge
Perturbative BF Theory in Axial, Anosov Gauge
The twisted Ruelle zeta function of a contact, Anosov vector field, is shown to be equal, as a meromorphic function of the...
On Recursion Operators for Full-Fledged Nonlocal Symmetries of the Reduced Quasi-classical Self-dual Yang–Mills Equation
On Recursion Operators for Full-Fledged Nonlocal Symmetries of the Reduced Quasi-classical Self-dual Yang–Mills Equation
We introduce the idea of constructing recursion operators for full-fledged nonlocal symmetries and apply it to the reduced...
Analytic States in Quantum Field Theory on Curved Spacetimes
Analytic States in Quantum Field Theory on Curved Spacetimes
We discuss high energy properties of states for (possibly interacting) quantum fields in curved spacetimes. In particular,...
An Index for Quantum Cellular Automata on Fusion Spin Chains
An Index for Quantum Cellular Automata on Fusion Spin Chains
Interpreting the GNVW index for 1D quantum cellular automata (QCA) in terms of the Jones index for subfactors leads to a g...
Universality of Graph Homomorphism Games and the Quantum Coloring Problem
Universality of Graph Homomorphism Games and the Quantum Coloring Problem
We show that quantum graph parameters for finite, simple, undirected graphs encode winning strategies for all possible syn...
Symmetric Functions from the Six-Vertex Model in Half-Space
Symmetric Functions from the Six-Vertex Model in Half-Space
We study the stochastic six-vertex model in half-space with generic integrable boundary weights, and define two families o...
Magnetic Response Properties of Twisted Bilayer Graphene
Magnetic Response Properties of Twisted Bilayer Graphene
In this article, we analyze the Bistritzer–MacDonald model (also known as the continuum model) of twisted bilayer gr...
Lightcone Modular Bootstrap and Tauberian Theory: A Cardy-Like Formula for Near-Extremal Black Holes
Lightcone Modular Bootstrap and Tauberian Theory: A Cardy-Like Formula for Near-Extremal Black Holes
We show that for a unitary modular invariant 2D CFT with central charge $$c>1$$ and having a nonzero twist gap in t...
Flux Quantization on Phase Space
Flux Quantization on Phase Space
While it has become widely appreciated that (higher) gauge theories need, besides their variational phase space data, to b...
Dually Weighted Multi-matrix Models as a Path to Causal Gravity-Matter Systems
Dually Weighted Multi-matrix Models as a Path to Causal Gravity-Matter Systems
We introduce a dually-weighted multi-matrix model that for a suitable choice of weights reproduce two-dimensional Causal D...
Energy in Fourth-Order Gravity
Energy in Fourth-Order Gravity
In this paper we make a detailed analysis of conservation principles in the context of a family of fourth-order gravitatio...
Free Energy Fluctuations of the Bipartite Spherical SK Model at Critical Temperature
Free Energy Fluctuations of the Bipartite Spherical SK Model at Critical Temperature
The spherical Sherrington–Kirkpatrick (SSK) model and its bipartite analog both exhibit the phenomenon that their fr...
Stochastic Quantization of Two-Dimensional $$P(\Phi )$$ Quantum Field Theory
Stochastic Quantization of Two-Dimensional $$P(\Phi )$$ Quantum Field Theory
We give a simple and self-contained construction of the $$P(\Phi )$$ Euclidean quantum field theory in the plane and verif...
Strong Cosmic Censorship for the Spherically Symmetric Einstein–Maxwell-Charged-Klein–Gordon System with Positive $$\Lambda $$ : Stability of the Cauchy Horizon and $$H^1$$ Extensions
Strong Cosmic Censorship for the Spherically Symmetric Einstein–Maxwell-Charged-Klein–Gordon System with Positive $$\Lambda $$ : Stability of the Cauchy Horizon and $$H^1$$ Extensions
We investigate the interior of a dynamical black hole as described by the Einstein–Maxwell-charged-Klein–Gordo...
Convergence of operators with deficiency indices (k, k) and of their self-adjoint extensions
Convergence of operators with deficiency indices (k, k) and of their self-adjoint extensions
We consider an abstract sequence $$\_^\infty $$ of closed symmetric operators on a separable Hilbert space $$}$$ . It is a...
Unitary, Anomalous Master Ward Identity and its Connections to the Wess–Zumino Condition, BV Formalism and $$L_\infty $$ -algebras
Unitary, Anomalous Master Ward Identity and its Connections to the Wess–Zumino Condition, BV Formalism and $$L_\infty $$ -algebras
The C*-algebraic construction of QFT by Buchholz and one of us relies on the causal structure of space-time and a classica...
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