Duality in Heterotic Vacua With Four Supercharges

Abstract

We study heterotic vacua with four supercharges in three and four space-time dimensions and their duals obtained as M/F-theory compactified on Calabi-Yau fourfolds. We focus on their respective moduli spaces and derive the Kahler potential for heterotic vacua obtained as circle compactifications of four-dimensional N=1 heterotic theories. The Kahler potential of the dual theory is computed by compactifying 11-dimensional supergravity on Calabi-Yau fourfolds. The duality between these theories is checked for K3-fibred fourfolds and an appropriate F-theory limit is discussed.

28 pages, LaTeX

References in corpus (2)

• M Theory, Orientifolds and G-Flux
• Geometrical Aspects of Fivebranes in Heterotic/F-Theory Duality in Four Dimensions

Cited by in corpus (36)

• Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
• The effective action of N=1 Calabi-Yau orientifolds
• The effective action of D7-branes in N=1 Calabi-Yau orientifolds
• Soft Supersymmetry Breaking in Calabi-Yau Orientifolds with D-branes and Fluxes
• de Sitter String Vacua from Kahler Uplifting
• M-theory compactified on Calabi-Yau fourfolds with background flux
• The N=1 effective action of F-theory compactifications
• D-terms and F-terms from D7-brane fluxes
• F-theory fluxes, Chirality and Chern-Simons theories
• Massive Abelian Gauge Symmetries and Fluxes in F-theory
• Yukawas and discrete symmetries in F-theory compactifications without section
• The effective action of type II Calabi-Yau orientifolds
• Non-Perturbative Corrections and Modularity in N=1 Type IIB Compactifications
• Warping the Kähler potential of F-theory/IIB flux compactifications
• On Potentials from Fluxes
• Eternal Inflation with alpha'-Corrections
• Structure in 6D and 4D N=1 supergravity theories from F-theory
• Calabi-Yau Fourfolds with Flux and Supersymmetry Breaking
• de Sitter String Vacua from Perturbative Kahler Corrections and Consistent D-terms
• Gravitational Instantons and Fluxes from M/F-theory on Calabi-Yau fourfolds
• The effective action of D-branes in Calabi-Yau orientifold compactifications
• Systematics of the ${\alpha }^{\prime }$ Expansion in F-Theory
• Fivebrane instantons and Calabi-Yau fourfolds with flux
• IIA String Theory on Calabi-Yau Fourfolds with Background Fluxes
• Fluxed M5-instantons in F-theory
• Warped Kähler potentials and fluxes
• The effective action of warped M-theory reductions with higher-derivative terms - Part II
• Non-Supersymmetric F-Theory Compactifications on Spin(7) Manifolds
• Consistent de Sitter String Vacua from Kahler Stabilization and D-term uplifting
• Chiral anomalies on a circle and their cancellation in F-theory
• Type IIA and Heterotic String Vacua in D=2
• Spontaneous N=2 -> N=1 Supergravity Breaking in Three Dimensions
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Shift-symmetries and gauge coupling functions in orientifolds and F-theory
• On Mirror Symmetry for Calabi-Yau Fourfolds with Three-Form Cohomology
• 3d N=1 effective supergravity and F-theory from M-theory on fourfolds