2012/07/19 by Torsten Aßelmeyer-Maluga, Asselmeyer-Maluga, Torsten, Jerzy Król +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.1207.4603
openalex publication_date 2012/07/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
This is the second part of the work where quasi-modular forms emerge from small exotic smooth ℝ4's grouped in a fixed radial family. SU(2) Seiberg-Witten theory when formulated on exotic ℝ4 from the radial family, in special foliated topological limit can be described as SU(2) Seiberg-Witten theory on flat standard ℝ4 with the gravitational corrections derived from coupling to \cal N=2 supergravity. Formally, quasi-modular expressions which follow the Connes-Moscovici construction of the universal Godbillon-Vey class of the codimension-1 foliation, are related to topological correlation functions of superstring theory compactified on special Callabi-Yau manifolds. These string correlation functions, in turn, generate Seiberg-Witten prepotential and the couplings of Seiberg-Witten theory to \cal N=2 supergravity sector. Exotic 4-spaces are conjectured to serve as a link between supersymmetric and non-supersymmetric Yang-Mills theories in dimension 4.