Romans type IIA theory and the heterotic strings

Abstract

In this paper we study $T^2$ compactification of 6-dimensional massive type IIA supergravity in presence of Ramond-Ramond background fluxes. The resulting theory in four dimensions is shown to possess $SL(2,R)\times SL(2,R)\times O(4,20)$ duality symmetry. It is shown that specific elements of this symmetry relate massive type IIA compactified on $K3\times T^2$ (with fluxes along $K3$) to the ordinary type IIA compactified on $K3\times T^2$ (with fluxes along $T^2$). In turn, this relationship is exploited to relate Romans theory to heterotic strings. The D8-brane (domain-wall) wrapped on $K3\times T^2$ is related to {\it pure gravity} heterotic solution which is a direct product of 6-dimensional flat spacetime and a 4-dimensional Taub-NUT instanton.

13 pages, JHEP3, v2: correction in eq.(4.3)

References in corpus (2)

• Massive Type IIA Theory on K3
• An Sl(3,R) multiplet of 8-dimensional type II supergravity theories and the gauged supergravity inside

Cited by in corpus (7)

• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• Type IIB Theory on Half-flat Manifolds
• Massive IIA flux compactifications and U-dualities
• On T-folds, G-structures and Supersymmetry
• Galilean anti-de-Sitter spacetime in Romans theory
• Galilean type IIA backgrounds and a map
• A Massive S-duality in 4 dimensions