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Null Hamiltonian Yang–Mills theory: Soft Symmetries and Memory as Superselection
Null Hamiltonian Yang–Mills theory: Soft Symmetries and Memory as Superselection
Soft symmetries for Yang–Mills theory are shown to correspond to the residual Hamiltonian action of the gauge group ...
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...
Nodal Set Openings on Perturbed Rectangular Domains
Nodal Set Openings on Perturbed Rectangular Domains
We study the effects of perturbing the boundary of a rectangle on the nodal sets of eigenfunctions of the Laplacian. Namel...
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...
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...
Borel Summability of the $${\textrm{1}/N}$$ Expansion in Quartic $${\textrm{O}(N)}$$ -Vector Models
Borel Summability of the $${\textrm{1}/N}$$ Expansion in Quartic $${\textrm{O}(N)}$$ -Vector Models
We consider a quartic $$\textrm(N)$$ -vector model. Using the loop vertex expansion, we prove the Borel summability in 1/N...
Negative Curvature Constricts the Fundamental Gap of Convex Domains
Negative Curvature Constricts the Fundamental Gap of Convex Domains
We consider the Laplace–Beltrami operator with Dirichlet boundary conditions on convex domains in a Riemannian manif...
Higher Deformation Quantization for Kapustin–Witten Theories
Higher Deformation Quantization for Kapustin–Witten Theories
We pursue a uniform quantization of all twists of 4-dimensional $$\mathcal N=4$$ supersymmetric Yang–Mills theory, u...
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,...
Convergence of Dynamics on Inductive Systems of Banach Spaces
Convergence of Dynamics on Inductive Systems of Banach Spaces
Many features of physical systems, both qualitative and quantitative, become sharply defined or tractable only in some lim...
Limit Theorems for the Cubic Mean-Field Ising Model
Limit Theorems for the Cubic Mean-Field Ising Model
We study a mean-field spin model with three- and two-body interactions. The equilibrium measure for large volumes is shown...
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...
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...
Resurgent Asymptotics of Jackiw–Teitelboim Gravity and the Nonperturbative Topological Recursion
Resurgent Asymptotics of Jackiw–Teitelboim Gravity and the Nonperturbative Topological Recursion
Jackiw–Teitelboim dilaton quantum gravity localizes on a double-scaled random-matrix model, whose perturbative free ...
Shuffling Algorithm for Coupled Tilings of the Aztec Diamond
Shuffling Algorithm for Coupled Tilings of the Aztec Diamond
In this article, we define a generalization of the domino shuffling algorithm for tilings of the Aztec diamond to the inte...
Baxter Operators in Ruijsenaars Hyperbolic System III: Orthogonality and Completeness of Wave Functions
Baxter Operators in Ruijsenaars Hyperbolic System III: Orthogonality and Completeness of Wave Functions
In the previous paper, we showed that the wave functions of the quantum Ruijsenaars hyperbolic system diagonalize Baxter Q...
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...
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...
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...
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...
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...
$$L^2$$ -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...
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...
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...
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...
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...