Studies in Supersymmetry and Quantum (super)gravity.
We obtain the spontaneously broken N = 8 supergravity model in four dimensions by generalized dimensional reduction of the massless N = 8 supergravity model in five dimensions. We show that the mass dependent one-loop ultraviolet divergences of various tadpole and self-energy graphs cancel. We calculate the one-loop ultraviolet divergences of antisymmetric tensor fields A(,(mu)(nu)) coupled to gravity. We find that the counterterms for coupling A(,(mu)(nu)(rho)) to gravity are on-shell zero, while the coupling of A(,(mu)(nu)) or A(,(mu)(nu)(rho)) and a scalar (phi) to gravity are equal to those for the coupling of a scalar (phi) to gravity. We construct a complete set of spin projection operators for the vierbein e(,(mu))('a) and the spin connection (omega)(,(mu))('ab) and analyse the particle content of a class of R + R('2) type actions. We find a new class of such actions which are ghost-and tachyon-free and propagate, in addition to the massless gravition, a massive torsion with J('P) (LESSTHEQ) 2 or massless torsion with J('p) = 1('-). We calculate the two-and three-point functions of the globally supersymmetric massive Wess-Zumino model at the two-loop level by means of ordinary dimensional regularization. We show that they satisfy the supersymmetry Ward identities despite the fact that the ordinary dimesional regularization scheme has the drawback in the case of the supersymmetric theories because the fermionic and bosonic degrees of freedom are in general not equal at dimensions different from four.
- Pub Date:
- Physics: Elementary Particles and High Energy