Gravity induced symmetry breaking and ground state of local supersymmetric GUTs

Abstract

It is shown that local supersymmetry does not necessarily imply existence of anti-de Sitter vacua in grand unified theories. A locally supersymmetric SU(5) grand unified example is presented in which the supergravity interactions make the SU(3) × SU(2) × U(1) vacuum be the absolute minimum of the effective potential for a class of solutions whose Higgs and matter multiplets have no vacuum expectation values in the global limit ( k → 0). Supersymmetry breaking occurs at a scale m s∼ 1 TeV through super Higgs effect and degeneracy is broken by O( m s 4) rather than O( K 2 M 6).