Effective one-loop Lagrangian for gaugedscrH/scrKσmodels

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Abstract
We determine the divergent one-loop contributions to the effective action for a gauged nonlinear σ model in which the scalars are valued on the coset space scrH/scrK of a noncompact group scrH, with scrK its maximally compact subgroup. We focus especially on the scalar+Yang-Mills sector of a class of no-scale supergravity models suggested by superstrings. The formalism developed should be applicable to a broader class (with compact or noncompact scrH) of interesting models.

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