Large-N random matrix gravity and the double hierarchy problem

Large N Renormalization Group for Random Matrix Models

We report on our recent studies of the large N renormalization group (RG) method which clariies phase structure of random matrix models. We derive an exact RG equation which enables us to obtain the exact locations of xed points and their scaling exponents. The classiication of phases is given by this analysis. A linear approximation visualizes the RG ow of crossover phenomena including several...

Localized Gravity and Large Hierarchy from String Theory ?

Within a D-dimensional superstring spacetime, we construct a non-supersymmetric brane-world with localized gravity and large hierarchy between the scale in the bulk, M D , and the scale on the brane, M D−2. The localization of gravity and the large hierarchy are both guaranteed by the presence of non-trivial stringy moduli, such as the axion-dilaton system for the Type-IIB string theory.

Black Holes and Large N Species Solution to the Hierarchy Problem

We provide the perturbative and non-perturbative arguments showing that theories with large number of species of the quantum fields, imply an inevitable hierarchy between the masses of the species and the Planck scale, shedding a different light on the hierarchy problem. In particular, using the black hole physics, we prove that any consistent theory that includes N Z2-conserved species of the ...

The N = 2 supersymmetric Toda lattice hierarchy and matrix models

We propose a new integrable N = 2 supersymmetric Toda lattice hierarchy which may be relevant for constructing a supersymmetric one–matrix model. We define its first two Hamil-tonian structures, the recursion operator and Lax–pair representation. We provide partial evidence for the existence of an infinite-dimensional N = 2 superalgebra of its flows. We study its bosonic limit and introduce new...

The N-Membranes Problem