Abstract
We present a manifestly Lorentz invariant and supersymmetric
component
field action for D = 10, type IIB supergravity, using a newly
developed method for the construction of actions with chiral bosons,
which implies only a single scalar non propagating auxiliary field.
With the same method we construct also an action in which the complex
two-form gauge potential and its Hodge-dual, a complex six-form
gauge potential, appear in a symmetric way in compatibility with
supersymmetry and Lorentz invariance.
The duals of the two physical scalars of the theory turn out to be
described by a SL(2,
) triplet of eight-forms whose
curvatures are constrained by a single linear relation.
We present also a supersymmetric action in which the basic
fields and their duals, six-form and eight-form potentials, appear
in a symmetric way.
All these actions are manifestly invariant under the global SL(2,)-duality group of D = 10, IIB supergravity and
are
equivalent to each other in that their dynamics corresponds to the
well known equations of motion of D = 10, IIB supergravity.