2011/01/17 by T. Asselmeyer-Maluga, TORSTEN ASSELMEYER-MALUGA, J. Krol +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #gr-qc #hep-th #math-ph #math.GT #math.MP
paper · pdf · doi:10.1142/s0217751x11052827
published as Int.J.Mod.Phys.A26:1375-1388,2011 · 15 pages, Based on the talk ,,Small exotic smooth R^4 and string theory given at the International Congress of Mathematicians, ICM2010, 19-28.08.2010, Hyderabad, India
arxiv created 2011/01/17 · openalex publication_date 2011/03/30 · arxiv updated 2011/04/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we show that in some important cases, four-dimensional data can be extracted from superstring theory such that (i) the data are Euclidean four-geometries embedded in standard ℝ 4 , (ii) these data depend on NS and D brane charges of some string backgrounds, (iii) it is of potential relevance to four-dimensional physics, (iv) the compactification and stabilization techniques are not in use, but are rather replaced. We analyze certain configurations of NS and D-branes in the context of SU(2) WZW model and find the correlations with different exotic smoothings of ℝ 4 . First, the dynamics of D-branes in SU(2) WZW model at finite k, i.e. the charges of the branes, refers to the exoticness of ambient ℝ 4 . Next, the correspondence between exotic smoothness on four-space, transversal to the world volume of NS5 branes in type IIA, and the number of these NS5 branes follows. Finally, the translation of ten-dimensional string backgrounds to Euclidean four-spaces embedded as open subsets in the standard ℝ 4 is achieved.