Computing the Scalar Field Couplings in 6D Supergravity

Abstract

Using non chiral supersymmetry in 6D space time, we compute the explicit expression of the metric the scalar manifold $SO(1,1)\times \frac{SO(4,20)}{SO(4)\times SO(20)}$ of the 10D type IIA superstring on generic K3. We consider as well the scalar field self-couplings in the general case where the non chiral 6D supergravity multiplet is coupled to generic n vector supermultiplets with moduli space $SO(1,1)\times \frac{SO(4,n)}{SO(4)\times SO(n)}$. We also work out a dictionary giving a correspondence between hyperKahler geometry and the Kahler geometry of the Coulomb branch of 10D type IIA on Calabi-Yau threefolds. Others features are also discussed.

44 pages, To appear in NPB

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Cited by in corpus (8)

• Entropy of Pairs of Dual Attractors in 6D/7D
• 't Hooft lines of ADE-type and Topological Quivers
• Higher spin AdS${}_3$ gravity and Tits-Satake diagrams
• $\mathcal{N}=2$ Supersymmetry Partial Breaking and Tadpole Anomaly
• Extremal Black Attractors in 8D Maximal Supergravity
• Partial Breaking in Rigid Limit of $\mathcal{N}=2$ Gauged Supergravity
• Quiver Gauge Models in F-Theory on Local Tetrahedron
• On the partial breaking of $\mathcal{N}=2$ rigid supersymmetry with complex hypermultiplet