Non-perturbative properties of heterotic string vacua compactified on K3 × T2

Abstract

Using the heterotic-type II duality of N = 2 string vacua in four space-time dimensions we study non-perturbative couplings of toroidally compactified six-dimensional heterotic vacua. In particular, the heteroticheterotic S-duality and the Coulomb branch of tensor multiplets observed in six dimensions are studied from a four-dimensional point of view. We explicitly compute the couplings of the vector multiplets of several type II vacua and investigate the implications for their heterotic duals.

Complex/Symplectic Mirrors

“…Such an example is readily found in the literature [17,18]: taking W to be an elliptic fibration over F 1 (a Calabi-Yau whose Hodge numbers are h 1,1 = 3 and h 2,1 = 243), there is a point in moduli space in which a single curve shrinks (see Appendix A for more details). By counting of multiplets and mirror symmetry, on the mirror M there will be a single three-cycle which will shrink.…”

Complex/Symplectic Mirrors

“…Such an example is readily found in the literature [17,18]: taking W to be an elliptic fibration over F 1 (a Calabi-Yau whose Hodge numbers are h 1,1 = 3 and…”

Dynamical topology change in M theory

“…A simple example of a pair of Calabi-Yau manifolds connected by a flop transition are the well studied (h 1,1 , h 2,1 ) = (3, 243) Calabi-Yau manifolds considered in [17,18,19,20,21]. To investigate whether a flop can occur dynamically, we will attempt to match the solutions to the field equations for each of the Calabi-Yau manifolds across the singular point.…”