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 establishes a systematic framework using (3+1)d Dijkgraaf-Witten Symmetry Topological Field Theories and generalized "club sandwich" interfaces to classify and construct gapless phases with non-invertible categorical symmetries, including intrinsically gapless SPTs and symmetry-breaking phases, by extending known phase transitions of smaller symmetries.
This paper constructs explicit Tachyon-Chern-Simons terms in the holographic V-QCD model for generic complex tachyon fields to ensure flavor anomaly consistency, demonstrating that baryon number equals the topological instanton number and that the resulting effective pion action reproduces the chiral Lagrangian with Skyrme and Wess-Zumino-Witten terms.
This paper derives blow-up equations to resum singular instanton expansions of Nekrasov--Shatashvili functions in four-dimensional gauge theories at resonant loci, thereby revealing the analytic structure of Heun functions and constructing finite periodic, antiperiodic, and logarithmic solutions that describe spectral gap edges and semisimple monodromy.
This paper introduces and proves that a specific family of quadratic invariants in Pauli expectation values constitutes a state-independent characterization of pure n-qubit states, generalizing previously known two-qubit "pentagon identities" to arbitrary system sizes through novel structural insights into complementarity and mutual unbiasedness.
This paper establishes that observables associated with the n-qubit Pauli group, including degenerate ones, exhibit maximal complementarity by deriving criteria for their compatibility, linking maximal sets to informational pure state complementarity equalities and mutually unbiased bases, and demonstrating that these sets entail strong entropic uncertainty relations.
This paper proposes an efficient strong-form phase-field solver that integrates the Gradient Smoothing Method with a hierarchical adaptive moving mesh to achieve near-linear computational scaling and high accuracy for large-scale interface evolution problems by localizing fine resolution to narrow interfacial regions while maintaining coarse discretization in bulk domains.
This paper proposes a quantum electrodynamics model for massive dyons based on a gauge group that abandons the Dirac quantization condition, and rigorously demonstrates its quantum consistency by proving it is free of anomalies and multiplicatively renormalizable at all orders using BRS algebraic renormalization and the BPHZL procedure.
This paper demonstrates that primitive canonical graph integrals coincide with specific position-space integrals from deformation quantization, thereby proving that these integrals evaluate to single-valued multiple zeta values and that every such value can be expressed as a rational linear combination of Feynman periods.
This paper constructs an open enumerative theory for a specific two-dimensional Landau-Ginzburg model, establishing an open mirror symmetry theorem with all descendents and characterizing the wall-crossing phenomena of the resulting invariants through a dedicated LG wall-crossing group.
This paper establishes a finite-energy locality principle for geometrically local bosonic open systems that enables efficient simulation and learning of polynomial Hamiltonians with explicit error bounds, achieving sample complexity and scaling comparable to the best-known finite-dimensional qubit methods.