We consider compactifications of type II string theory on general SU(3)× SU(3) structure backgrounds allowing for a very large set of fluxes, possibly nongeometric ones. We study the effective 4d low… (More)

A renormalizable two-dimensional quantum field theory, containing a metric, a dilaton and N massless scalar matter fields, has been proposed as a model for black hole evaporation. Essential… (More)

I attempt to give a pedagogical introduction to the matrix model of M-theory as developed by Banks, Fischler, Shenker and Susskind (BFSS). In the first lecture, I introduce and review the relevant… (More)

In perturbative quantum field theory the limit of compactification on an almost light-like circle has recently been shown to be plagued by divergences. We argue that the light-like limit for M-theory… (More)

We determine higher-derivative terms in the open superstring effective action with U(N) gauge group up to and including order α′4 as can be extracted from 4 boson, 2 boson 2 fermion and 4 fermion… (More)

We present a detailed study of the analytic structure, BPS spectra and superconformal points of the N = 2 susy SU(2) gauge theories with Nf = 1, 2, 3 massive quark hypermultiplets. We compute the… (More)

We carefully review the basic examples of anomaly cancellation in M-theory: the 5-brane anomalies and the anomalies on S/Z2. This involves cancellation between quantum anomalies and classical inflow… (More)

We construct 7-dimensional compact Einstein spaces with conical singularities that preserve 1/8 of the supersymmetries of M-theory. Mathematically they have weak G2-holonomy. We show that for every… (More)

We analyse the (rigid) special geometry of a class of local Calabi-Yau manifolds given by hypersurfaces in C as W (x) + f0(x) + v 2 + w + z = 0, that arise in the study of the large N duals of… (More)

I study the recently discovered relation between the 2 2-matrix di erential operator L = @2 U , and a certain non-linear and non-local Poisson bracket algebra (V -algebra), containing a Virasoro… (More)