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Kac–Ward Solution of the 2D Classical and 1D Quantum Ising Models
Kac–Ward Solution of the 2D Classical and 1D Quantum Ising Models
We give a rigorous derivation of the free energy of (i) the classical Ising model on the triangular lattice with translati...
Schur Function Expansion in Non-Hermitian Ensembles and Averages of Characteristic Polynomials
Schur Function Expansion in Non-Hermitian Ensembles and Averages of Characteristic Polynomials
We study k-point correlators of characteristic polynomials in non-Hermitian ensembles of random matrices, focusing on the ...
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...
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,...
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...
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...
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...
Supergroups, q-Series and 3-Manifolds
Supergroups, q-Series and 3-Manifolds
We introduce supergroup analogs of 3-manifold invariants $$}$$ , also known as homological blocks, which were previously c...
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...
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...
Circuit Equation of Grover Walk
Circuit Equation of Grover Walk
We consider the Grover walk on the infinite graph in which an internal finite subgraph receives the inflow from the outsid...
Global Existence and Long-Time Behavior in the 1 + 1-Dimensional Principal Chiral Model with Applications to Solitons
Global Existence and Long-Time Behavior in the 1 + 1-Dimensional Principal Chiral Model with Applications to Solitons
In this paper, we consider the 1 + 1-dimensional vector-valued principal chiral field model (PCF) obtain...
Frobenius Algebras Associated with the $$\alpha $$ -Induction for Equivariantly Braided Tensor Categories
Frobenius Algebras Associated with the $$\alpha $$ -Induction for Equivariantly Braided Tensor Categories
Let G be a group. We give a categorical definition of the G-equivariant $$\alpha $$ -induction associated with a given G-e...
On the Convergence to the Non-equilibrium Steady State of a Langevin Dynamics with Widely Separated Time Scales and Different Temperatures
On the Convergence to the Non-equilibrium Steady State of a Langevin Dynamics with Widely Separated Time Scales and Different Temperatures
We study the solution of the two-temperature Fokker–Planck equation and rigorously analyse its convergence towards a...
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