Full Component Lagrangian in the Linear Multiplet Formulation of String-inspired Effective Supergravity: I

The majority of the computation of the full component Lagrangian of supergravity coupled to chiral multiplets and a linear multiplet in the U(1)K formulation is presented here. The few remaining quantities to be calculated are isolated for future study. We include an anomalous U(1) factor in the gauge group, and an effective theory of gaugino and hidden sector matter condensation through static composite superfields, using the formalism of Binétruy, Gaillard and Wu. Our assumption for the form of the Kähler potential is general enough to accomodate stabilization of the dilaton at weak coupling through nonperturbative corrections to the dilaton Kähler potential. Finally, in our effective theory of gaugino condensation we provide for general couplings between the hidden sector matter condensates and other unconfined fields present in the theory. It is important to allow for this possibility since such couplings may be useful for the stabilization of matter fields which are moduli at the leading order. E-Mail: [email protected] This work was supported in part by the Director, Office of Science, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC0376SF00098 and in part by the National Science Foundation under grant PHY-00-98840.