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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 $$ -algebras
The C*-algebraic construction of QFT by Buchholz and one of us relies on the causal structure of space-time and a classica...
Recurrence Relations and General Solution of the Exceptional Hermite Equation
Recurrence Relations and General Solution of the Exceptional Hermite Equation
Exceptional orthogonal Hermite polynomials have been linked to the k-step extension of the harmonic oscillator. The except...
Differences Between Robin and Neumann Eigenvalues on Metric Graphs
Differences Between Robin and Neumann Eigenvalues on Metric Graphs
We consider the Laplacian on a metric graph, equipped with Robin ( $$\delta $$ -type) vertex condition at some of the grap...
The Rotation Number for Almost Periodic Potentials with Jump Discontinuities and $$\delta $$ -Interactions
The Rotation Number for Almost Periodic Potentials with Jump Discontinuities and $$\delta $$ -Interactions
We consider one-dimensional Schrödinger operators with generalized almost periodic potentials with jump discontinuiti...
Rademacher Expansion of a Siegel Modular Form for $${{\mathcal {N}}}= 4$$ Counting
Rademacher Expansion of a Siegel Modular Form for $${{\mathcal {N}}}= 4$$ Counting
The degeneracies of 1/4 BPS states with unit torsion in heterotic string theory compactified on a six torus are given in t...
$$L^2$$ -Decay Rate for Special Solutions to Critical Dissipative Nonlinear Schrödinger Equations
$$L^2$$ -Decay Rate for Special Solutions to Critical Dissipative Nonlinear Schrödinger Equations
We consider the Cauchy problem of one-dimensional dissipative nonlinear Schrödinger equations with a critical power n...
Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model
Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model
We use cluster expansion methods to establish local the indistiguishability of the finite volume ground states for the AKL...
Local Hölder Stability in the Inverse Steklov and Calderón Problems for Radial Schrödinger Operators and Quantified Resonances
Local Hölder Stability in the Inverse Steklov and Calderón Problems for Radial Schrödinger Operators and Quantified Resonances
We obtain Hölder stability estimates for the inverse Steklov and Calderón problems for Schrödinger operator...
Robustness of Flat Bands on the Perturbed Kagome and the Perturbed Super-Kagome Lattice
Robustness of Flat Bands on the Perturbed Kagome and the Perturbed Super-Kagome Lattice
We study spectral properties of perturbed discrete Laplacians on two-dimensional Archimedean tilings. The perturbation man...
The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals
The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals
We discuss the meromorphic continuation of certain hypergeometric integrals modeled on the Selberg integral, including the...
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