Perturbative couplings of vector multiplets in N = 2 heterotic string vacua

Abstract

We study the low-energy effective Lagrangian of N = 2 heterotic string vacua at the classical and quantum level. The couplings of the vector multiplets are uniquely determined at the tree level, while the loop corrections are severely constrained by the exact discrete symmetries of the string vacuum. We evaluate the general transformation law of the perturbative prepotential and determine its form for the toroidal compactifications of six-dimensional N = 1 supersymmetric vacua.

Electric-magnetic dualities in supergravity

“…[43][44][45][46]; see also the talk by Argyres at the symposium [47]). The same phenomena play a role for vector fields coupled to supergravity, for instance, in the context of heterotic string compactifications [41,48]. In the context of type-II string compactifications on Calabi-Yau manifolds, the (X I , F J ) can be associated with the periods of the (3, 0) form of the Calabi-Yau three-fold [49].…”

“…A more convenient method is to check whether the substitutions X I →X I into the derivatives F I (X) correctly induce the symplectic transformations [41], i.e.,…”

“…The dilaton acts as the loop-counting parameter for string perturbation theory. Although the full supermultiplet that contains the dilaton is now physical, the derivation of nonrenormalization theorems can proceed in the same way [73,41]. I should stress here that when restricting the background to a reduced chiral multiplet, one can just treat it as an additional (albeit external) vector multiplet.…”

Instanton numbers and exchange symmetries in N = 2 dual string pairs

“…F non−pert = 0, and we will concentrate on the one-loop corrected prepotential. The heterotic semiclassical prepotential [24,25,27] has nontrivial monodromy properties under the perturbative target space duality symmetries…”

Update of D3/D7-brane inflation on

“…Note that this is completely analogous to the heterotic theories considered in [97] (eq. (4.15) in that paper) and is consistent with the definition (C.21).…”