Computing the Scalar Field Couplings in 6D Supergravity

Details Computing the Scalar Field Couplings in 6D Supergravity Computing the Scalar Field Couplings in 6D Supergravity

2008-06-19

arxiv.org/abs/0806.3207v1

Nucl.Phys.B803:323-362,2008

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, To appear in NPB

Scientific paper

10.1016/j.nuclphysb.2008.05.007

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.

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