Field Theoretic and Space-Time Aspects of Supersymmetric Walls and the Space-Time Aspects of Non-Supersymmetric Vacuum Bubbles.

Details Field Theoretic and Space-Time Aspects of Supersymmetric Walls and the Space-Time Aspects of Non-Supersymmetric Vacuum Bubbles. Field Theoretic and Space-Time Aspects of Supersymmetric Walls and the Space-Time Aspects of Non-Supersymmetric Vacuum Bubbles.

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phdt........54g&link_type=abstract

Thesis (PH.D.)--UNIVERSITY OF PENNSYLVANIA, 1993.Source: Dissertation Abstracts International, Volume: 54-06, Section: B, page:

Mathematics

Logic

3

Scientific paper

Field theoretic and spacetime aspects of nontrivial planar supersymmetric bosonic field configurations in d = 3 + 1, N = 1 supergravity coupled to a chiral superfield are presented. They are topologically stable and static domain walls interpolating between non -positive cosmological constant (Lambda<= 0) supersymmetric vacua. They saturate the Bogomol'nyi bound on the energy density and thus satisfy first order differential equations. The induced spacetime is static. An especially novel solution is the Minkowski--anti-de Sitter (AdS_4) wall (Type I wall). Supersymmetric vacua are shown to be absolutely stable (to all orders in Newton's constant) towards quantum decay into another supersymmetric vacuum. The methods of supersymmetry and the language of Coleman's quantum tunneling are employed. This result proves the degeneracy of all supersymmetric vacua in N = 1 supergravity regardless of the relative value of their Lambda<= 0.. Supergravity walls induce non-singular spacetimes exhibiting nontrivial causal structure due to the Cauchy horizons inherited from AdS_4. Lattices of these walls are possible when completing the spacetime manifold which possess causal structures similar to extreme black holes. In these lattices, the time-like boundary of pure AdS_4 is replaced by a wall thus making all affine boundaries null. Quantum field theory on the Type I background indicates that it has zero Hawking temperature and zero spacetime entropy. Generalizations of the supergravity walls to non -supersymmetric non- and ultra-extreme walls are presented. These walls are compact two-spheres corresponding to topological walls formed from the Kibble mechanism (non-extreme: bubbles with two insides) and the classical evolution of quantum tunneling bubbles (ultra-extreme: bubbles with an inside and an outside). Israel's formalism for singular hypersurfaces is used to deduce the local spacetime properties working in the wall's comoving frame. Geodesically complete manifolds are given, some of which exhibit natural generalizations of the extreme wall lattices. Analysis of the non-supersymmetric bubbles, in the context of Tolman's effective gravitation, indicates the absence of observers outside of negatively gravitating vacuum domain bubbles.

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