Aspects of supersymmetry
It is shown that string wormholes have the right zero mode structure to generate a superpotential and therefore it is possible to break supersymmetry spontaneously at weak coupling with zero cosmological constant. The c-function for supersymmetric {sigma}-model is calculated. A nontrivial inequality between integrals of powers of Riemann curvature is implied by the c-theorem and it is verified for special cases. The role of supersymmetry on the positivity of energy is studied. A spinorial expression suggested by supersymmetry is used to show that the ADM energy M is positive in two dimensional dilation gravity, a toy model for general relativity for smooth initial data asymptotic to the linear dilaton vacuum provided that the matter stress tensor obeys the dominant energy condition. A quantum positive energy theorem is also proven for semiclassical large-N equations. For black hole space times, M is shown to be bounded from below by e{sup {minus}2{phi}H}, where {phi}{sub H} is the value of the dilaton at the apparent horizon, provided only that the stress tensor is positive outside the apparent horizon. A positive energy theorem for a large class of generalizations of dilaton gravity which arise in consideration of the quantum theory is also proven. Actions for D = 2, N = 2 supergravity coupled to a scalar field are calculated and it is shown that the most general power-counting renormalizable dilaton gravity action has an N = 2 locally supersymmetric extension. To investigate the possibility of applying nonrenormalization theorems, the model is studied in superconformal gauge, where it is found that the cosmological constant term is chiral and therefore not renormalized.
- Research Organization:
- California Univ., Santa Barbara, CA (United States)
- OSTI ID:
- 39350
- Resource Relation:
- Other Information: TH: Thesis (Ph.D.); PBD: 1993
- Country of Publication:
- United States
- Language:
- English
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