Transformers reconstruct the constituent RCFTs in tensor-product theories from low-energy spectra, reaching 98% accuracy on WZW models and generalizing to larger central charges with few out-of-domain examples.
String theory on Calabi-Yau manifolds
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The Gromov-Witten instanton expansion of the 4D N=2 prepotential is reinterpreted as a spectral decomposition into eigenfunctions of a Laplace-Beltrami operator on the Coxeter quotient of the moduli space, explaining the natural appearance of Bessel and theta functions for dihedral groups.
The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for finding Einstein metrics on general manifolds.
Extends Kähler manifold approach from Part I to CASSCF, deriving linear response equations and a first-order-derivative state-specific method for molecular excited states while noting identification challenges from nonlinearity.
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