323 papers
This paper rigorously proves that the adiabatic theorem remains valid for diagonalizable non-Hermitian quantum systems with real eigenvalues by employing the complex geometric phase, biorthogonal functional calculus, and the Grönwall inequality, thereby justifying the definition of a complex Berry phase in such systems.
This paper establishes the integrability of a family of SYK models with uniform -body interactions by deriving their exact spectra and demonstrating that their underlying R-matrix corresponds to that of the critical transverse-field Ising chain, thereby revealing a profound connection between quantum chaos and statistical mechanics.
This paper classifies the irreducible anyon sectors of Levin-Wen models over an arbitrary unitary fusion category by establishing a one-to-one correspondence with simple objects of the Drinfeld center and constructing explicit string operators via Drinfeld insertions to excite these anyons.
This paper establishes a geometric control framework for boundary-catalytic branching processes by utilizing a Steklov spectral problem to determine the critical absorption rates required to balance population growth and achieve a steady state, while identifying a threshold beyond which such control becomes impossible.
This paper addresses the previously unexamined issue of volume divergences in the measure for Quadratic Gravity, demonstrating that these divergences cancel in the extremal limit similar to General Relativity, while also reviewing the complexities of renormalization in curved space and the conditions under which non-invariant measures can be justified.
This paper extends self-dual nonlinear electrodynamics from four to $4p\mathsf{U}(1)(2p-1)$-forms, while introducing new theories where the energy-momentum tensor trace governs the flow with respect to a duality-invariant deformation parameter.
This paper establishes that biorthogonal ensembles with a specific derivative structure possess an explicit double contour integral correlation kernel, which serves as a foundation for asymptotic analysis and reveals two new classes of limit kernels: a deformed hard edge Bessel kernel and a kernel arising from Muttalib-Borodin type deformations.
This paper presents fast, linear-time solvers for the Reynolds equation on piecewise linear geometries using Schur complement inversion, which achieve second-order accuracy for non-linear heights and are validated by comparing their solutions against the Stokes equation to assess the limits of lubrication theory.
This paper introduces a hierarchical Lorentz mirror model to prove normal transport in dimensions and proposes a universal $2/3$ mean-variance law for conductance, supported by numerical evidence suggesting this ratio is a signature of normal transport across dimensions.
This paper extends PrvanoviÄ's coordinate-free formulation of the Einstein connection for almost Hermitian manifolds to almost contact metric manifolds satisfying an -torsion condition, providing explicit torsion formulas and analyzing special cases within the Gray-Hervella classification.
This paper presents an exact analytic solution to planar QCD by quantizing internal Majorana fermions on a rigid minimal surface, which reduces the theory to a confining twistor string that successfully predicts the meson spectrum and Regge trajectories through geometric localization and Catastrophe Theory.
This paper proposes group entropies as a unifying framework that defines universality classes of extensive entropies for strongly correlated systems, successfully deriving consistent thermodynamic laws and demonstrating that black holes naturally exhibit negative specific heat within this formalism.
This paper establishes that finite non-invertible symmetries in 3+1d without topological line operators necessarily act invertibly on local operators, leading to a decomposition of general non-invertible symmetries into invertible actions and gauging interfaces, and deriving necessary conditions for such symmetries to be anomaly-free.
This paper develops a hybrid Lagrangian-Hamiltonian framework that unifies the Noether correspondence between symmetries and conserved integrals, offering a modern formulation of Noether's theorem independent of explicit Lagrangians while clarifying symmetry types and enabling the determination of complete symmetry groups for locally Liouville integrable systems.
This paper introduces a spectral approach to the 3D Edwards-Anderson spin glass, demonstrating that the eigenvalue statistics of overlap matrices exhibit a q-Gaussian crossover from a Wigner semicircle to a Gaussian distribution at the critical temperature, thereby offering a robust and computationally efficient indicator of spin-glass criticality.
This paper presents an analytical pulse-response analysis of a reaction-advection-diffusion equation modeling a narrow reactor tube, demonstrating that the characteristics of a first-order irreversible reaction can be readily determined by comparing the exit flow curve with and without chemical activity.
This paper establishes a relationship between HOMFLY-PT and Kauffman polynomials for specific knot classes using Birman-Murakami-Wenzl algebra characters to prove a conjectured correspondence with Harer-Zagier factorisability for 3-strand knots, while demonstrating through 4-strand counterexamples that this correspondence does not hold universally for knots with higher braid indices.
This paper presents an explicit coordinate description of the dual cosmological polytope and derives its canonical form through two distinct triangulations based on maximal and almost maximal tubings of the underlying graph, the latter of which yields a novel expression for the form.
This paper investigates the classical translational dynamics of homonuclear diatomic molecules in a magnetic quadrupole trap, demonstrating through numerical and analytical methods that the system is non-integrable and exhibits chaotic behavior alongside periodic and quasi-periodic trajectories, with specific solutions expressible via Jacobi elliptic functions.
This paper establishes a unified canonical framework linking the Maximal Entropy Simple Symmetric Exclusion Process to both Unitary Dyson Brownian Motion and Free Unitary Brownian Motion by leveraging Schur polynomials and symmetric group characters to derive explicit spectral decompositions and hydrodynamic limits that reveal entropic forces and nonlinear transport equations.