Supersymmetric-field theory remains the best new physics beyond the SM and also “builds a bridge between the low energy phenomenology and high-energy fundamental physics”. Moreover, I will show here that SuSy can incorporate aspects of loop quantum gravity to shed deep light on fundamental issues in quantum cosmology. Before getting deep, recall that the central action for supersymmetric field theory is:

with the Grassmannian variable and total action is given by:

and the super-field/anti-super-field theory expansion in the Landau type gauge is given by:

with the super-covariant derivatives of

are defined by:

and

and the super-derivative is:

where the Ashtekar-Barbero connection , for a, b = 1, 2, 3, is given in terms of co-triads :

and satisfying

and the extrinsic curvature being:

For definitions of terms, see my ‘SuperSymmetric Field Theory and the Quantum Master Equation’ post. Some philosophical points are in order first.

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