We make an exact field theoretical computation of the conformal anomaly for two-dimensional submanifold observables. By including a scalar field in the definition for the Wilson surface, as appropriate for a spontaneously broken A1 theory, we get a conformal anomaly which is such that N times it is equal to the anomaly that was computed in hep-th/9901021 in the large N limit and which relied on...

The remarkable scaling properties of the AdSCFT correspondence[5] have been proven extremely useful as a calculational device for the scaling behaviour of holographic pairs, known as the Holographic Renormalization Group (RG). In this communication, the aforementioned scaling properties will be studied in a somewhat different context. We’ll adopt the formalism of Local Quantum Physics[1], in te...

The issues of holography and possible links with gauge theories in spacetime physics is discussed, in an approach quite distinct from the more restricted AdSCFT correspondence. A particular notion of holography in the context of black hole thermodynamics is derived (rather than conjectured) from rather elementary considerations, which also leads to a criterion of thermal stability of radiant bl...

We show that there exists a consistent truncation of 11 dimensional supergravity to the ’massless’ fields of maximal (N=4) 7 dimensional gauged supergravity. We find the complete expressions for the nonlinear embedding of the 7 dimensional fields into the 11 dimensional fields, and check them by reproducing the d=7 susy transformation laws from the d=11 laws in various sectors. In particular we...

Rationality of the Wightman functions is proven to follow from energy positivity, locality and a natural condition of global conformal invariance (GCI) in any number D ≥ 2 of space-time dimensions. The GCI condition allows to treat correlation functions as generalized sections of a vector bundle over the compactification M of Minkowski space M and yields a strong form of locality valid for all ...