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We present a qualitatively new mechanism for dynamical spontaneous breakdownof supersymmetry in supergravity. Specifically, we construct a modifiedformulation of standard minimal N=1 supergravity as well as of anti-de Sittersupergravity in terms of a non-Riemannian spacetime volume-form (generallycovariant integration measure density). The new supergravity formalismnaturally triggers the appearance of a dynamically generated cosmologicalconstant as an arbitrary integration constant which signifies spontaneous(dynamical) breaking of supersymmetry. Applying the new formalism to anti-deSitter supergravity allows us to appropriately choose the above mentionedarbitrary integration constant so as to obtain simultaneously a very smalleffective observable cosmological constant as well as a large physicalgravitino mass as required by modern cosmological scenarios for slowlyexpanding universe of the present epoch.

A New Venue of Spontaneous Supersymmetry Breaking in Supergravity