Speaker
Description
We study a systematic derivation of four dimensional N = 1 supersymmetric effective theory
(EFT) from ten dimensional non-Abelian Dirac-Born-Infeld (DBI) action compactified on
a six dimensional torus with magnetic fluxes on the D9-branes. We find a new type of
matter Kahler metric while gauge kinetic function and superpotential are consistent with
previous studies. For the ten dimensional action, we use a symmetrized trace prescription
and focus on the bosonic part up to O(F^4). In the presence of the supersymmetry, four
dimensional chiral fermions can be obtained via index theorem. The new matter Kahler
metric is independent of flavor but depends on the fluxes, 4D dilaton, Kahler moduli and
complex structure moduli, and will be always positive definite if an induced RR charge of the
D-branes on which matters are living are positive. We read the superpotential from an F-term
scalar quartic interaction derived from the ten dimensional action and the contribution
of the new matter Kahler metric to the scalar potential which we derive turns out to be
consistent with the supergravity formulation.
