2548 papers
Mathematical physics sits at the fascinating intersection where abstract equations meet the fundamental laws of our universe. This field uses rigorous mathematical tools to model everything from the behavior of subatomic particles to the curvature of spacetime, turning complex theories into testable predictions. It is the language through which physicists describe reality, bridging the gap between pure mathematics and physical observation.
On Gist.Science, we process every new preprint published in this category on arXiv to make these dense studies accessible to everyone. Whether you are a specialist or a curious reader, you will find both plain-language overviews and detailed technical summaries for each paper. Below are the latest mathematical physics papers from arXiv, curated to help you explore the cutting edge of theoretical science.
This paper demonstrates that relaxing the conventional constraint of rank-one encoders to allow intrinsic encoding randomness significantly improves optimal entanglement fidelity in approximate quantum error correction, proving that mapping pure logical states to mixed code states can yield arbitrarily better recovery performance even under small noise perturbations.
This paper reformulates the type-I seesaw mechanism as a relativistic fermionic proximity effect to derive exact nonlocal self-energies, establish rigorous positivity constraints and matrix inequalities between lepton-number-conserving and violating spectral moments, and provide a framework for reconstructing sterile-sector parameters from effective field theory data.
This paper demonstrates that superselction sectors describing single nonabelian anyons violate Haag duality and its associated quantum information principles, thereby disproving the conjecture that all gapped ground states satisfy this condition.
This paper proves the Virasoro constraints for the relative Gromov–Witten theory of all smooth projective effective orbifold curves with relative conditions at ordinary points, thereby establishing the absolute Jiang–Tseng Virasoro conjecture for such curves as a corollary.
This paper introduces a novel geometric representation for general classical spin models based on coupled percolation configurations, which is then used to prove that Pfaffian relations imply planarity in Ising models and to establish the sharpness of phase transitions for a broad class of spin systems.
Motivated by mirror symmetry, this paper establishes that exponential sums over the -points of the Coulomb branch are governed by polynomial Gauss sums, thereby providing a geometric realization of Selberg character sums and yielding explicit formulas for these sums as products of classical Gauss sums via Evans's evaluation.
This paper demonstrates that one- and two-point functions of inverse characteristic polynomials in three specific -deformed matrix models (Chern-Simons, -Laguerre, and -Gaussian) can be interpreted as quantizations of Lagrangian subvarieties in and , respectively, utilizing superintegrability and anti-symplectic birational involutions to establish a new geometric framework for analyzing their semiclassical expansions.
This paper establishes an algebraic framework characterizing the regularisation and irreducibility properties of Gaussian quantum Markov semigroups on continuous-variable systems, revealing that irreducibility is strictly stronger than regularisation and connecting these properties to quantum controllability and decoherence-free subsystems.
This paper identifies and classifies 97 pairs of hyperbolic Lie algebras and their "superized" almost affine Lie superalgebra counterparts that share identical Weyl chambers, thereby revealing a hidden supersymmetry where the tracks of cosmological billiards remain invariant despite the transition from bosonic to supersymmetric structures.
This paper constructs spherical harmonics as superpositions of Gaussian beams with poles forming well-separated point configurations, demonstrating that equidistributed configurations yield quantum ergodicity while the supremum norms are governed by the maximal clustering of poles near great circles.