5 research outputs found
Modular Invariant Gaugino Condensation in the Presence of an Anomalous U(1)
Starting from the previously constructed effective supergravity theory below
the scale of U(1) breaking in orbifold compactifications of the weakly coupled
heterotic string, we study the effective theory below the scale of
supersymmetry breaking by gaugino and matter condensation in a hidden sector.
Issues we address include vacuum stability, soft supersymmetry-breaking masses
in the observable sector, and the masses of the various moduli fields,
including those associated with flat directions at the U(1)-breaking scale, and
of their fermionic superpartners. The consistent treatment of U(1) breaking
together with condensation yields qualitatively new results.Comment: 73 pages, full postscript also available from
http://phyweb.lbl.gov/theorygroup/papers/53960.p
Decoding the matrix: Coincident membranes on the plane wave
At the core of nonperturbative theories of quantum gravity lies the
holographic encoding of bulk data in large matrices. At present this mapping is
poorly understood. The plane wave matrix model provides a laboratory for
isolating aspects of this problem in a controlled setting.
At large boosts, configurations of concentric membranes become superselection
sectors, whose exact spectra are known. From the bulk point of view one expects
product states of individual membranes to be contained within the full
spectrum. However, for non-BPS states this inclusion relation is obscured by
Gauss law constraints. Its validity rests on nontrivial relations in
representation theory, which we identify and verify by explicit computation.Comment: 43 pages, 2 figure
Holography and entropy bounds in the plane wave matrix model
As a quantum theory of gravity, Matrix theory should provide a realization of
the holographic principle, in the sense that a holographic theory should
contain one binary degree of freedom per Planck area. We present evidence that
Bekenstein's entropy bound, which is related to area differences, is manifest
in the plane wave matrix model. If holography is implemented in this way, we
predict crossover behavior at strong coupling when the energy exceeds N^2 in
units of the mass scale.Comment: 19 pages; v2: references adde