Abstract
The moduli space of toroidal type I vacua, which are consistent at the non-perturbative level, is composed of independent branches characterized by the number (0, 16 or 32) of rigid branes sitting on top of orientifold planes. This structure persists also when supersymmetry is spontaneously broken à la Scherk–Schwarz. We show that all the components of the moduli space in dimension D≥5 indeed admit heterotic dual components, by explicitly constructing heterotic-type I dual pairs with the rank of the gauge group reduced by 0, 8 or 16 units. In the presence of spontaneous breaking of supersymmetry, the dual pairs we consider are also free of tachyonic instabilities at the one-loop level, provided the scale of supersymmetry breaking is lower than the string scale.
Highlights
Worldsheet conformal field theories admit marginal deformations
The moduli space of toroidal type I vacua, which are consistent at the nonperturbative level, is composed of independent branches characterized by the number (0, 16 or 32) of rigid branes sitting on top of orientifold planes
In the presence of spontaneous breaking of supersymmetry, the dual pairs we consider are free of tachyonic instabilities at the one-loop level, provided the scale of supersymmetry breaking is lower than the string scale
Summary
Worldsheet conformal field theories admit marginal deformations. As a consequence, the spectra of string theories possess generically moduli fields at tree level. 3 presents the simplest example of a heterotic model that is dual to such an orientifold theory It is realized in five dimensions and corresponds, on the open string side, to the case where the 32 D-branes are isolated with rigid positions, generating a trivial gauge symmetry we formally. One can show that the Coleman-Weinberg effective potential is extremal with respect to a Wilson line, when the latter takes a value at which non-Cartan states charged under the associated Abelian symmetry are becoming massless.12 This mechanism was used in Refs [34, 39, 40, 48] to stabilize internal radii in toroidal compactifications.
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