We work out the exact in g s and perturbatively exact in α′ result for the vector multiplet moduli Kähler potential in a specific N=2 compactification of F-theory. The well-known α ′3 correction is absent, but there is a rich structure of corrections at all even orders in α ′ . Moreover, each of these orders independently displays an SL(2, Z) invariant set of corrections in the string coupling constant. This generalizes earlier findings to the case of a non-trivial elliptic fibration. Our results pave the way for the analysis of quantum corrections in the more complicated N = 1 context, and may have interesting implications for the study of moduli stabilization in string theory.
Garcia-Etxebarria, I., Hayashi, H., Savelli, R., Shiu, G. (2013). On quantum corrected Kähler potentials in F-theory. JOURNAL OF HIGH ENERGY PHYSICS(3) [10.1007/JHEP03(2013)005].
On quantum corrected Kähler potentials in F-theory
Savelli R.;
2013-01-01
Abstract
We work out the exact in g s and perturbatively exact in α′ result for the vector multiplet moduli Kähler potential in a specific N=2 compactification of F-theory. The well-known α ′3 correction is absent, but there is a rich structure of corrections at all even orders in α ′ . Moreover, each of these orders independently displays an SL(2, Z) invariant set of corrections in the string coupling constant. This generalizes earlier findings to the case of a non-trivial elliptic fibration. Our results pave the way for the analysis of quantum corrections in the more complicated N = 1 context, and may have interesting implications for the study of moduli stabilization in string theory.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
