AI contributions to analytical derivations and substantive numerical calculations in physical models, including particle theory, gravity, statistical mechanics, quantum many-body systems, and string theory.
11 records · Includes focused interests · How we rate progress
Butbaia and collaborators report normalized Yukawa-coupling calculations in specified standard-embedding heterotic compactifications, comparing geometric and period-integral methods with calculations using a machine-learned approximate Ricci-flat metric and harmonic representatives.
Read original source Original physical Yukawa-coupling study v2arxiv.org
Original report: 2024-01-26Viteritti, Rende, Parola, Goldt and Becca report numerical evidence for an intermediate gapless spin-liquid phase in the two-dimensional Shastry–Sutherland model, using transformer variational wave functions and extrapolations of order parameters and triplet excitation energies.
Read original source Original transformer wave-function study, revised April 2025arxiv.org
Original report: 2023-11-28Brenner, Cohen-Addad and Woodruff report six analytical methods for the integral controlling radiation from a specified Garfinkle–Vachaspati cosmic-string loop family, including exact spectral representations and a large-harmonic asymptotic formula with angular dependence.
Read original source Original AI-assisted cosmic-string calculationarxiv.org
Original report: 2026-03-05Cheung, Dersy and Schwartz report a transformer-based simplifier that reduces long spinor-helicity expressions and produces new compact five-point scalar and graviton amplitude expressions, alongside recovering the known five-gluon Parke–Taylor expression.
Read original source Original amplitude-simplification paper v2arxiv.org
Original report: 2024-08-08Schwartz and Zhang report an analytical expression for the remaining elliptic sector of the next-to-next-to-leading-order energy-energy correlator in N = 4 super Yang–Mills theory, relating its curve to the sunrise integral and expressing the answer through iterated Eisenstein integrals.
Read original source Original paper: The hidden sunrise in the energy-energy correlatorarxiv.org
Original report: 2026-10-07Matthew Schwartz reports a soft-collinear effective-theory factorization theorem for the C-parameter distribution near C = 3/4, computes the one-loop jet and soft ingredients, and presents matched next-to-leading-logarithmic plus next-to-leading-order predictions.
Read original source Original C-parameter resummation preprintarxiv.org
Original report: 2026-01-05Guevara, Lupsasca, Skinner, Strominger and Weil report nonzero tree-level single-minus graviton amplitudes at half-collinear kinematics, solving a recursion as a sum over trees and obtaining a product of soft factors in a restricted decay region.
Read original source Original paper v2: single-minus graviton tree amplitudesarxiv.org
Original report: 2026-03-04Guevara, Lupsasca, Skinner, Strominger and Weil report nonzero tree-level single-minus gluon amplitudes for special half-collinear configurations in Klein space or complexified momenta, with a closed product formula in a specified decay region.
Read original source Original paper v2: single-minus gluon tree amplitudesarxiv.org
Original report: 2026-02-12Parisi and Zamponi give an analytic proof of a+b=1 from the scaling full replica-symmetry-breaking equations for infinite-dimensional hard-sphere jamming. Together with the earlier relation b=(1+c)/2, it yields the scaling identities linking force, gap and overlap exponents.
Read original source Parisi–Zamponi: precise identity, assumptions and AI disclosurearxiv.org
Original report: 2026-06-02OpenAI claims globally smooth unique evolution for arbitrary admissible large initial data in the three-dimensional one-species relativistic Vlasov–Maxwell model, under its support and field assumptions.
Read original source Pinned primary manuscript · family 362github.com
Original report: 2026-10-06OpenAI reports the sharp invariant-mass lower bound in terms of minimum enclosing area for one-ended spacetime initial-data exteriors in every dimension n≥3, under the paper’s energy, trapping and decay assumptions.
Read original source Pinned primary manuscript · family 260github.com
Original report: 2026-10-06AI contributions to analytical derivations and substantive numerical calculations in physical models, including particle theory, gravity, statistical mechanics, quantum many-body systems, and string theory.
Related focused topics and problems retain their own statements and baselines. A contribution may belong to more than one field; it is counted once within each topic.
Background review: 2026-10-13. Selected sources:
Publication dates and editorial changes.
Machine-learned geometry validates string-model coupling calculations
Transformer wave functions support a gapless spin liquid in a frustrated magnet model
Gemini-assisted analytical solutions for a cosmic-string radiation integral
Neural networks produce compact scalar and graviton scattering expressions
AI-assisted completion of the elliptic sector of a collider correlator
Claude-assisted resummation of the C-parameter Sudakov shoulder
AI-assisted recursion and formulas for single-minus graviton amplitudes
AI-assisted closed formula for single-minus gluon amplitudes
Parisi–Zamponi–Claude: an analytic proof of the jamming exponent identity
OpenAI reports: Global classical relativistic Vlasov–Maxwell solutions
OpenAI reports: The enclosing-area spacetime Penrose inequality
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