Dinstanton superpotential in string theory
Abstract
We study the nonperturbative superpotential generated by D(1)branes in type IIB compactifications on orientifolds of CalabiYau threefold hypersurfaces. To compute the Dinstanton superpotential, we study Ftheory compactification on toric complete intersection elliptic CalabiYau fourfolds. We take the Senlimit, but with finite g_{s}, in Ftheory compactifications with the restriction that all D7branes are carrying SO(8) gauge groups, which we call the global Senlimit. In the global Senlimit, the axiodilaton is not varying in the compactification manifold. We compute the PicardFuchs equations of elliptic CalabiYau fourfolds in the global Senlimit, and show that the PicardFuchs equations of the elliptic fourfolds split into that of the underlying CalabiYau threefolds and of the elliptic fiber. We then demonstrate that this splitting property of the PicardFuchs equation implies that the fourform period of the elliptic CalabiYau fourfolds in the global Senlimit does not contain exponentially suppressed terms O (e^{−π /gs}). With this result, we finally show that in the global Senlimit, the superpotential of the underlying type IIB compactification does not receive D(1)instanton contributions.
 Publication:

Journal of High Energy Physics
 Pub Date:
 March 2022
 DOI:
 10.1007/JHEP03(2022)054
 arXiv:
 arXiv:2201.04634
 Bibcode:
 2022JHEP...03..054K
 Keywords:

 FTheory;
 Flux Compactifications;
 String and Brane Phenomenology;
 Superstring Vacua;
 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry
 EPrint:
 v4. 34 pages. Discussion extended. Results unchanged. Matches the Jhep version