2024/11/28 by Saki Koizumi, Koizumi, Saki
Chemistry · Mathematics · #Advanced Algebra and Geometry #Advanced NMR Techniques and Applications #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Molecular spectroscopy and chirality
paper · pdf · doi:10.48550/arxiv.2411.19342
openalex publication_date 2024/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the path integral formulation of the superstring, the chiral measure acquires a phase under the modular transformation of a Riemann surface. This motivated the use of anomaly inflow to define the superstring chiral measure by a path integral formalism of a modular invariant 3-dimensional theory. A Gelca-Hamilton topological field theory (TQFT) is one of the Atiyah's TQFT on a 3-dimensional extended manifold with the boundary Jacobi variety of a Riemann surface, whose Hilbert space is spanned by the theta series. We show that genus g≤ 2 superstring chiral measure in the path integral can be obtained by the path integral of the Gelca-Hamilton TQFT on some 3-dimensional bulk extended manifolds. The modular transformation of the superstring chiral measure can be understood as the action of the extended mapping class group on the bulk 3-dimensional extended manifolds.