Bulg. J. Phys. vol.41 no.2 (2014), pp. 123-129

A New Mechanism of Dynamical Spontaneous Breaking of Supersymmetry

E. Guendelman1, E. Nissimov2, S. Pacheva2, M. Vasihoun1
1Department of Physics, Ben-Gurion Univ. of the Negev, Beer-Sheva 84105, Israel
2Institute of Nuclear Research and Nuclear Energy, Bulg. Acad. Sci., Sofia 1784, Bulgaria
Abstract. We present a qualitatively new mechanism for dynamical spontaneous breakdown of supersymmetry. Specifically, we construct a modified formulation of standard minimal N = 1 supergravity. The modification is based on an idea worked out in detail in previous publications by some of us, where we proposed a new formulation of (non-supersymmetric) gravity theories employing an alternative volume form (volume element, or generally-covariant integration measure) in the pertinent Lagrangian action, defined in terms of auxiliary (pure-gauge) fields instead of the standard Riemannian metric volume form. Invariance under supersymmetry of the new modified N = 1 supergravity action is preserved due to the addition of an appropriate compensating antisymmetric tensor gauge field. This new formalism naturally triggers the appearance of a dynamically generated cosmological constant as an arbitrary integration constant which signifies a spontaneous (dynamical) breaking of supersymmetry. Furthermore, applying the same formalism to anti-de Sitter supergravity allows us to appropriately choose the above mentioned arbitrary integration constant so as to obtain simultaneously a very small positive effective observable cosmological constant as well as a large physical gravitino mass as required by modern cosmological scenarios for slowly expanding universe of today.

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