SCI Abstract

search
+
Existence and Non-existence of Minimizers for a Multi-particle Model with Concave Nonlinearity
Existence and Non-existence of Minimizers for a Multi-particle Model with Concave Nonlinearity
We study a multi-particle model including a kinetic energy and a non linear local self-interaction, both in the bosonic an...
Modular Transformations of Tau Functions and Conformal Blocks on the Torus
Modular Transformations of Tau Functions and Conformal Blocks on the Torus
The connection problem for isomonodromic tau functions on the one-punctured torus concerns the ratio between the tau funct...
Exponential Suppression of Transport in Electric Quantum Walks
Exponential Suppression of Transport in Electric Quantum Walks
We establish exact scalings for the maximal group velocity of translation-invariant quantum walks in periodic electric fie...
The Moduli of the Universal Geometry of Heterotic Moduli
The Moduli of the Universal Geometry of Heterotic Moduli
We study the moduli of the universal geometry of $$d=4$$ $$N=1$$ heterotic vacua. Universal geometry refers to a family of...
The spectral characteristics of the Sturm Hamiltonian with eventually periodic type
The spectral characteristics of the Sturm Hamiltonian with eventually periodic type
In this paper, we consider the spectral characteristics of the Sturm Hamiltonian with eventually periodic-type frequencies...
Energy Field of Critical Ising Model and Examples of Singular Fields in QFT
Energy Field of Critical Ising Model and Examples of Singular Fields in QFT
The goal of this paper is to prove singularity of three natural fields in QFT with respect to their natural base measure. ...
Refined Invariants and Quantum Curves from Supersymmetric Localization
Refined Invariants and Quantum Curves from Supersymmetric Localization
We study an Aganagic–Vafa brane supported on a special Lagrangian submanifold $$\mathcal $$ in a non-compact toric C...
Universal Functions for Topological Correlators
Universal Functions for Topological Correlators
We consider correlation functions of topologically twisted, $$\mathcal =2$$ supersymmetric Yang–Mills theory with ga...
On Square-Zero Elements in the IIB Supersymmetry Algebra
On Square-Zero Elements in the IIB Supersymmetry Algebra
We describe the variety of square-zero elements in the (2,0) super Poincaré algebra in ten dimensions, together with ...
Classifying Isolated Symplectic Singularities via 3d $$\mathcal {N}=4$$ Coulomb Branches
Classifying Isolated Symplectic Singularities via 3d $$\mathcal {N}=4$$ Coulomb Branches
Based on the Decay and Fission Conjecture, we provide a classification of unitary quivers whose 3d $$\mathcal =4$$ Coulomb...
Boundedness and Decay of Waves on Spatially Flat Decelerated FLRW Spacetimes
Boundedness and Decay of Waves on Spatially Flat Decelerated FLRW Spacetimes
We study the linear wave equation on a class of spatially homogeneous and isotropic Friedmann–Lemaǐtre–Ro...
On the Heat Content of Compact Quantum Graphs
On the Heat Content of Compact Quantum Graphs
We study the heat content for Laplacians on compact, finite metric graphs with Dirichlet conditions imposed at the “...
Coupled Proca theories: Green-hyperbolicity, quantization and applications to polarization measurement
Coupled Proca theories: Green-hyperbolicity, quantization and applications to polarization measurement
The Proca field describes a massive relativistic spin-1 particle and was originally formulated in Minkowski spacetime. Her...
Propagation of Semiclassical Measures Between Two Topological Insulators
Propagation of Semiclassical Measures Between Two Topological Insulators
We study propagation in a system consisting of two topological insulators without a magnetic field, whose interface is a n...
Global Existence and Geometry of Constant Mass Aspect Function Foliation in Perturbed Schwarzschild Spacetime
Global Existence and Geometry of Constant Mass Aspect Function Foliation in Perturbed Schwarzschild Spacetime
The constant mass function foliation has proved useful for studying the null Penrose inequality on a null hypersurface due...
Oscillatory Spacelike Singularities: The Bianchi Type $$\textrm{VI}_{-1/9}$$ Vacuum Models
Oscillatory Spacelike Singularities: The Bianchi Type $$\textrm{VI}_{-1/9}$$ Vacuum Models
The Bianchi type $$\textrm_$$ , $$\textrm$$ and $$\textrm$$ vacuum models all have 4-dimensional Hubble-normalized state s...
Asymptotic Purification of Quantum Trajectories under Disordered Generalized Measurements
Asymptotic Purification of Quantum Trajectories under Disordered Generalized Measurements
We develop a general framework to study quantum trajectories resulting from repeated random measurements subject to statio...
Semi-classical Limit of the Massive Klein–Gordon–Maxwell System Toward the Relativistic Pressureless Euler–Maxwell System via an Adapted Modulated Energy Method
Semi-classical Limit of the Massive Klein–Gordon–Maxwell System Toward the Relativistic Pressureless Euler–Maxwell System via an Adapted Modulated Energy Method
We show that the momentum, the density, and the electromagnetic field associated with the massive Klein–Gordon–...
A Mathematical Foundation for Self-testing: Lifting Common Assumptions
A Mathematical Foundation for Self-testing: Lifting Common Assumptions
In this work, we study the phenomenon of self-testing from the first principles, aiming to place this versatile concept on...
Belavkin–Staszewski Quantum Markov Chains
Belavkin–Staszewski Quantum Markov Chains
It is well known that the conditional mutual information of a quantum state is zero if, and only if, the quantum state is ...
B-brane Transport in Nonabelian GLSMs for $$K_{Gr(2,N)}$$
B-brane Transport in Nonabelian GLSMs for $$K_{Gr(2,N)}$$
We study the properties of B-branes in a class of nonabelian GLSMs realizing the canonical line bundle $$K_$$ in their geo...
A New Construction of $$c=1$$ Virasoro Blocks
A New Construction of $$c=1$$ Virasoro Blocks
We introduce a nonabelianization map for conformal blocks, which relates $$c=1$$ Virasoro blocks on a Riemann surface C to...
Exponentially Fast Selection of Sectors for Quantum Trajectories Beyond Non-demolition Measurements
Exponentially Fast Selection of Sectors for Quantum Trajectories Beyond Non-demolition Measurements
We show that, in long-time, quantum trajectories select an invariant subspace of the Hilbert space of the system being ind...
Refined Painlevé/Gauge Theory Correspondence and Quantum Tau Functions
Refined Painlevé/Gauge Theory Correspondence and Quantum Tau Functions
In this paper we study strong coupling asymptotic expansions of $$\mathcal =2$$ four-dimensional SU(2) gauge theory partit...
Large Scale Response of Gapless 1 and Quasi-1 Systems
Large Scale Response of Gapless 1 and Quasi-1 Systems
We consider the transport properties of non-interacting, gapless one-dimensional quantum systems and of the edge modes of ...
On the Initial Boundary Value Problem for the Einstein Vacuum Equations in the Maximal Gauge
On the Initial Boundary Value Problem for the Einstein Vacuum Equations in the Maximal Gauge
We consider the initial boundary value problem for the Einstein vacuum equations in the maximal gauge, or more generally, ...
The Rank Two Jacobi Algebra
The Rank Two Jacobi Algebra
The quadratic rank two Jacobi algebra is identified from the relations obeyed by the bispectral operators of the two-varia...
Dynamical Phase Diagram of the REM Under Independent Spin-Flips
Dynamical Phase Diagram of the REM Under Independent Spin-Flips
We study the energy landscape of the random energy model (REM) integrated along trajectories of the simple random walk on ...
Propagators in Curved Spacetimes from Operator Theory
Propagators in Curved Spacetimes from Operator Theory
We discuss two distinct operator-theoretic settings useful for describing (or defining) propagators associated with a scal...
Ground State Energy of Dilute Bose Gases with Two-Body and Three-Body Interactions
Ground State Energy of Dilute Bose Gases with Two-Body and Three-Body Interactions
We study dilute Bose gases in the thermodynamic limit interacting via two-body and three-body interaction potentials. We p...
Load More
format_indent_increase