Short, Quantitative Construction of the IIC in Planar PercolationThe classical definitions of the Incipient Infinite Cluster (IIC) of percolation consist in conditioning the origin on being connected to radius n and letting n go to infinity. We provide a short…Malo Hillairet·May 28, 2026SaveLearn
On two families of Nekrasov-Okounkov type formulasIn this paper, we use the vacuum expectation value formula of the topological vertex and its rotation symmetry to derive two families of Nekrasov-Okounkov type formulas. Each family of formulas…Chenglang Yang·May 28, 2026SaveLearn
A remark on certain restricted plane partitions and crystal melting modelIn this paper, we provide formulas to calculate the partition functions of two types of plane partitions using the crystal melting model introduced by Okounkov, Reshetikhin and Vafa. As applications,…Chenglang Yang·May 28, 2026SaveLearn
Purified Projection Method and Uhlmann Fidelity for Mixed Hartree DynamicsWe give a purification and fidelity formulation of the projection method for mixed Hartree data. For the mean-field evolution of N-particle density matrices, we prove quantitative propagation of…Hao Liang, Zhenfu Wang·May 27, 2026SaveLearn
Electron-photon interaction: Feynman diagrams and contact pointsIn this note, we formulate the notions of the direct and inverse problems and contact points for the Feynman diagrams. For the electron-photon interaction case, the solutions of these direct and…Lev Sakhnovich·May 27, 2026SaveLearn
Dissipative Spectral Form Factor of the Complex Elliptic Ginibre Ensemble across Various Non-Hermiticity RegimesWe study the dissipative spectral form factor (DSFF) at complex time T eiθ for the complex elliptic Ginibre ensemble with non-Hermiticity parameter τ∈ [0,1). As the matrix dimension $N …Gernot Akemann, Sung-Soo Byun, Seungjoon Oh·May 27, 2026SaveLearn
Stationary Measures and Mean Flux Depending on Multiple Conserved Quantities in a Stochastic Cellular AutomatonWe analyze a stochastic 5-neighbor cellular automaton with several conserved quantities, including the particle density. By examining the eigenvalue problem of the associated transition matrix, we…Kazushige Endo, Shinsuke Iwao, Hidetomo Nagai et al.·May 27, 2026SaveLearn
Two-parameter classes of exactly solvable quantum systemsWe introduce two-parameter classes of exactly-solvable novel systems whose Hamiltonian operators could be represented by tridiagonal symmetric matrices in some orthogonal bases. The associated…A. D. Alhaidari·May 27, 2026SaveLearn
Second Quantization for the Kepler ProblemThe Kepler problem concerns a point particle in an attractive inverse square force. After a brief review of the classical and quantum versions of this problem, focused on their hidden $SU(2)…John C. Baez·May 27, 2026SaveLearn
Lie symmetries and ghost-free representations of the Pais-Uhlenbeck modelWe investigate the Pais-Uhlenbeck (PU) model, a paradigmatic example of a higher time-derivative theory, by identifying the Lie symmetries of its associated fourth-order dynamical equation.…Alexander Felski, Andreas Fring, Bethan Turner·May 27, 2026SaveLearn
Exact solution for a periodically driven magnetic multilayer systemPeriodic driving serves as an effective method for controlling the properties of physical systems. Called "Floquet engineering," it is a broad field of theoretical and experimental activity.…P. I. Naumkin, A. V. Nikolaev, L. L. Tao et al.·May 26, 2026SaveLearn
WKB Spectral Asymptotics for a One-Dimensional Dirac Operator with a Slowly Varying Mass ProfileWe study the semiclassical spectral theory of a one-dimensional Dirac operator describing waves at the interface between topologically distinct media. We derive a modified Bohr-Sommerfeld…Owen Sutton, Alexander B. Watson·May 26, 2026SaveLearn
Existence of nonrelativistic - and multi--boson stars and their radial stabilityUsing direct methods of the calculus of variations we establish the existence of an infinite class of spherically-symmetric solutions to the multi-field Schrödinger-Poisson system. This is achieved…Emmanuel Chávez Nambo, Olivier Sarbach·May 26, 2026SaveLearn
Bounds on relative modular Hamiltonians in general QFTThe relative entropy between two states is a key concept in quantum information theory and quantum field theory. In the setting of quantum field theory, its computation requires the handling of…Adriano Chialastri, Christoph Minz, Ko Sanders·May 26, 2026SaveLearn
Partial theta-series and branching rules for the (3) parabolic Verma modulesThe monodromy of the (3) Casimir flat connection around root hyperplanes is studied. For the computation of the traces of the root monodromy operators, acting on the parabolic Verma modules, we…Dotsenko Egor·May 26, 2026SaveLearn
Laplace's law for sharp and diffuse interfacesWe study both diffuse and sharp liquid-vapor interfaces. The equilibrium equation of fluids is derived by using the principle of virtual work in a domain including the interfaces. For diffuse…Sergey L. Gavrilyuk, Henri Gouin·May 26, 2026SaveLearn
Generalized Minkowski Theorem for Tetrahedra in dS3 and AdS3We formulate and prove a constant-curvature, holonomy-valued Lorentzian analogue of Minkowski theorem for generalized tetrahedra in the constant-curvature Lorentzian spaces dS3 and $…Hongguang Liu, Qiaoyin Pan·May 26, 2026SaveLearn
AKLT State is Indeed the Observation Process of a causal Hidden quantum Markov ModelWe present a rigorous formulation of the spin-1 Affleck--Kennedy--Lieb--Tasaki (AKLT) state within the framework of hidden quantum Markov models (HQMMs). We show that the AKLT ground state admits a…Abdessatar Souissi, Amenallah Andolsi·May 26, 2026SaveLearn
Cocycle Actions on Hidden Quantum Markov Models: Symmetry Protection and Topological OrderWe develop a symmetry action framework for hidden quantum Markov models (HQMMs) tailored to one-dimensional quantum spin systems and symmetry-protected topological (SPT) phases. In our setting, a…Abdessatar Souissi, Abdessatar Barhoumi·May 26, 2026SaveLearn
Gauging the Schwarzian ActionIn this work, we promote the global SL(2,R) symmetry of the Schwarzian derivative to a local gauge symmetry. To achieve this, we develop a procedure that potentially can be generalized…A. Pinzul, A. Stern, Chuang Xu·May 26, 2026SaveLearn
Field theory of su(n): the absence of non-zero scatteringsWe inspect su(n) forms, providing greater detail for n=2,3, as a toy model for a field theory in finite dimensions and with gauge symmetries. Relying on homological perturbation…Eugenia Boffo, Ján Pulmann, Ľuboš Ravas·May 25, 2026SaveLearn
Chern numbers in quantum graphsQuantum graphs provide an analytically tractable setting for the study of Chern numbers and band degeneracies in periodic systems. We study the Chern numbers of energy bands in a two-dimensional…Or Swartzberg, Omri Gat, Boris Gutkin·May 25, 2026SaveLearn
Derivation of the focusing Φ61 measure in the optimal mass regime from many-body quantum Gibbs statesWe derive the focusing Φ61 measure on the torus T as the high-temperature/mean-field limit of many-body quantum Gibbs states with an attractive three-body interaction. The main…Lin Lü, Phan Thành Nam, Rongchan Zhu·May 25, 2026SaveLearn
Compactified imaginary Toda theoryBased on the work of Guillarmou, Kupiainen, and Rhodes, we construct compactified imaginary Toda theory on closed Riemann surfaces, extending the rank-one construction to the higher-rank setting.…Yi-An Yao·May 25, 2026SaveLearn
Haantjes algebras, Zernike system and separation of variablesThe generalized Zernike family H(N) = p12 + p22 + Σn=1N γn\,(q1 p1 + q2 p2)n is a parametric family of two-dimensional superintegrable Hamiltonians, admitting N integrals of…Ondřej Kubů, Danilo Latini·May 25, 2026SaveLearn