2014/12/31 by Jie Gu, Hans Jockers · 19 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Duality (order theory) #Fibered knot #Heterotic string theory #Homotopy and Cohomology in Algebraic Topology #Mathematics #Moduli space #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum mechanics #Semiclassical physics #String (physics) #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.91.086007
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 91(8) (American Physical Society) · 10 pages, 1 figure; v2: refs. added
arxiv created 2015/01/28 · openalex publication_date 2015/04/08 · arxiv updated 2015/04/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this work we study the duality between F-theory and the heterotic string beyond the stable degeneration limit in F-theory and large fiber limit in the heterotic theory. Building upon a recent proposal by Clingher and Doran and by Malmendier and Morrison---which phrases the duality on the heterotic side for a particular class of models in terms of (fibered) genus-two curves as nongeometric heterotic compactifications---we establish the precise limit to the semiclassical heterotic string in both eight and lower space-time dimensions. In particular for six-dimensional theories, we argue that this class of nongeometric heterotic compactifications capture \ensuremathα^\ensuremath' quantum corrections to the semiclassical heterotic supergravity compactifications on elliptically fibered K3 surfaces. From the nongeometric heterotic theory, the semiclassical phase on the K3 surface is recovered from a remarkable limit of genus-two Siegel modular forms combined with a geometric surgery operation. Finally, in four dimensions we analyze another limit deep in the quantum regime of the nongeometric heterotic string, which we refer to as the heterotic Sen limit. In this limit we can explicitly argue that the semiclassical two-staged fibrational structure of the heterotic hypermultiplet moduli space---recently established by Alexandrov, Louis, Pioline, and Valandro---gets corrected by quantum effects.