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
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
These lectures are devoted to introducing some of the basic features of quantum geometry that have been emerging from compactified string theory over the last couple of years. The developments discussed include new geometric features of string theory which occur even at the classical level as well as those which require non-perturbative effects. These lecture notes are based on an evolving set of lectures presented at a number of schools but most closely follow a series of seven lectures given at the TASI-96 summer school on Strings, Fields and Duality.
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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.
String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.
citing papers explorer
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Reconstructing conformal field theoretical compositions with Transformers
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.
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Harmonic Analysis of the Instanton Prepotential
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.
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A Physicist's Visit to Exotic Spheres
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.
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Critical point search and linear response theory for computing electronic excitation energies of molecular systems. Part II. CASSCF
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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Dark energy from string theory: an introductory review
String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.