On the Emergence of Exponential Decay from Discrete Spectra for Friedrichs HamiltoniansWe study a class of Friedrichs Hamiltonians, that is, operators describing an excited state coupled to a bath through a rank-one perturbation, in the case where the bath Hamiltonian has purely…Tamim Al-Qaiwani, Sören Petrat·Jul 31, 2026SaveLearn
Haantjes torsion and integrability: a proof of Bolsinov-Konyaev-Matveev's conjectureWe prove a conjecture formulated by Bolsinov, Konyaev and Matveev in [7] stating that, integrability of a system of hydrodynamic type ut=A( u) ux with gl-regular A…Alessandro Arsie, Paolo Lorenzoni·Jul 31, 2026SaveLearn
Realization embeddings of the rank two Racah algebra into the rank two Jacobi algebraWe construct an explicit embedding of the rank two Racah algebra R2 into the rank two Jacobi algebra J2. Working in the differential model of J2 on the…Nicolas Crampé, Sarah Post, Luc Vinet·Jul 31, 2026SaveLearn
Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its EigenvaluesThe author studies the inverse spectral problem of Sturm-Liouville operator on a star-like metric graph. At the vertex of this star-like graph, there are attached m edges that imposed with…Lung-Hui Chen·Jul 31, 2026SaveLearn
Vakonomic FluidsWe introduce a novel discretization of the incompressible Euler equations based on their interpretation as geodesic equations on the Lie group of volume-preserving diffeomorphisms. It is well known…Ritoban Roy-Chowdhury, Mohammad Sina Nabizadeh, Oliver Gross et al.·Jul 31, 2026SaveLearn
Mesoscopic Observables of the Dilute Fermi Gas at Low EnergyWe consider a dilute quantum gas of interacting spin-1/2 fermions in the thermodynamic limit. For a trial state that resolves the ground state energy to the precision of the Huang--Yang formula, we…Niels Benedikter, Emanuela L. Giacomelli, Asbjørn Bækgaard Lauritsen et al.·Jul 31, 2026SaveLearn
Free-energy variations for determinantal 2D plasmas with holesWe study the Gibbs equilibrium of a classical 2D Coulomb gas in the determinantal case β = 2. The external potential is the sum of a quadratic term and the potential generated by individual charges…Nicolas Rougerie·Jul 31, 2026SaveLearn
A Transmission Framework for Stark Operators with δ Interactions on a Compact Lipschitz InterfaceWe study an elliptic transmission problem associated with a Stark operator and a δ interaction on a compact Lipschitz interface in Rd. The background differential expression contains the…Masahiro Kaminaga·Jul 31, 2026SaveLearn
Free to Interacting Map for Crystalline SPT Phases: Equivariance vs Crystalline EquivalenceFreed and Hopkins developed an ansatz for classifying interacting SPT phases using invertible field theories with a natural Free to Interacting (FTI) map from free fermion phases. This ansatz has…Daniel Sheinbaum, Omar Antolín-Camarena·Jul 30, 2026SaveLearn
Redundant moments of non-melonic random tensor models: simplifying the tensor bootstrapWe prove the redundancy of a family (the so-called melonic family) of large-N moments in arbitrary tensor models. This reduces the number of independent entries in the positive semidefinite…Carlos I. Perez-Sanchez·Jul 30, 2026SaveLearn
Integrability in Asymptotic Symmetries of Spacetime: the BMS3 scenarioWe revisit the proof of a bms3-integrable hierarchy introduced in Fuentealba et al. (JHEP, 2018), using different structural methodologies. Specifically, from the variational complex on…Corentin Vitel·Jul 30, 2026SaveLearn
Consistent symmetry breaking and topological phasesOperators invariant under a symmetry group are also invariant under any finite-index subgroup. The equivariant indices of such operators must be consistent under symmetry breaking. We use this…Yuezhao Li, Guo Chuan Thiang·Jul 30, 2026SaveLearn
Clifford-Appell formulation of a Dirac-type Kronig-Penney model in condensed matter physicsWe investigate the stationary Dirac equation associated with a generalized Kronig-Penney model in (N+1)-dimensional Clifford analysis. Away from the interaction sites, the free Dirac system is…L. Aceto, P. A. Grassi, H. Malonek·Jul 30, 2026SaveLearn
Hamiltonian reduction from particular integralsWe develop a geometric reduction mechanism generated by systems of particular integrals, namely, families of functions whose time derivatives close linearly on the family. Their common zero set is…R. Azuaje, A. M. Escobar-Ruiz, I. Gutierrez-Sagredo·Jul 30, 2026SaveLearn
Modeling of point charges with distributions, regularizations, and generalized functionsWe apply regularization and generalized function techniques to the classical electromagnetic field of a point-charge, following, extending and correcting a strategy by the physicist A.\ Gsponer…Guenther Hoermann, Nathalie Tassotti·Jul 30, 2026SaveLearn
Many-body localization for the random XXZ spin chain in fixed energy intervalsIt is shown that the infinite random Heisenberg XXZ spin-12 chain exhibits slow propagation of information (logarithmic light cone), a key signature of many-body localization (MBL), in any…Alexander Elgart, Abel Klein·Jul 30, 2026SaveLearn
Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase ApproximationWe analyse the momentum distribution of a three-dimensional Fermi gas in the mean-field scaling regime in a trial state that was recently proven to reproduce the Gell-Mann-Brueckner correlation…Niels Benedikter, Sascha Lill, Diwakar Naidu·Jul 30, 2026SaveLearn
Congruence of Dirac operators with applications to generalized MIT bag modelsWe highlight a simple congruence transform that shifts coupling parameters for Dirac operators with shell interactions. As one of the consequences, this leads to new observations concerning the…Joaquim Duran, Konstantin Pankrashkin·Jul 29, 2026SaveLearn
Representation--Symbol Correspondence for q-Hamiltonian Mechanics on the Quantum PlaneWe develop a representation--symbol correspondence for q-Hamiltonian mechanics on the quantum plane. The coordinate algebra and its covariant differential calculus are realized simultaneously on a…Xiaomei Yang, Zhiliang Deng·Jul 29, 2026SaveLearn
Towards First Quantisation Formalism for AKSZ TheoriesGiven an AKSZ theory T on a manifold M, with target a graded vector space Y, we formulate a 1-dimensional theory t on graphs (the ``first quantisation picture for…Leon Menger, Pavel Mnev·Jul 29, 2026SaveLearn
Symplectic Isomorphism Between Strong-Coupling Criticality and Finite-Strain BifurcationThe analytical determination of critical scaling in three-dimensional strongly coupled field theories is inherently restricted by the Borel non-summability of perturbative expansions. In this paper,…Yu-Xin Xie·Jul 29, 2026SaveLearn
Low energy resolvent estimates for slowly decaying attractive potentialsWe discuss the low energy resolvent estimates for the Schrödinger operator with slowly decaying attractive potential. The main results are Rellich's theorem, the limiting absorption principle and…Kenichi Ito, Tomoya Tagawa·Jul 29, 2026SaveLearn
On the solution of the harmonic-divgrad PDEs systemWe study a particular system of partial differential equations in which the Laplace--Beltrami, the divergence and the gradient operators of the unknown functions appear (harmonic-divgrad system).…Federico Manzoni·Jul 29, 2026SaveLearn
Nontrivial Riemann Zeros as SpectrumLet Λ(s) := Γ(s+1)\, (1-21-s) \, ζ(s) , and write its zero set as ZΛ:= Zζ Zp , where Zζ collects the nontrivial zeros of the…Enderalp Yakaboylu·Jul 29, 2026SaveLearn
Constrained Least Action and Quantum MechanicsRecent work shows that the Schroedinger equation can be solved exactly based only on classical least action. The computation is based on solving a HamiltonJacobi equation for the action computing the…Winfried Lohmiller, Jean-Jacques Slotine·Jul 29, 2026SaveLearn