Four-Dimensional Higher-Derivative Supergravity and Spontaneous Supersymmetry Breaking

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, LaTeX2e and AMS-LaTeX 1.2, 1 eps figure

Scientific paper

10.1016/0550-3213(96)00281-7

We construct two classes of higher-derivative supergravity theories generalizing Einstein supergravity. We explore their dynamical content as well as their vacuum structure. The first class is found to be equivalent to Einstein supergravity coupled to a single chiral superfield. It has a unique stable vacuum solution except in a special case, when it becomes identical to a simple no-scale theory. The second class is found to be equivalent to Einstein supergravity coupled to two chiral superfields and has a richer vacuum structure. It is demonstrated that theories of the second class can possess a stable vacuum with vanishing cosmological constant that spontaneously breaks supersymmetry. We present an explicit example of this phenomenon and compare the result with the Polonyi model.

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