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Weyl vs. conformal

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Bounds in 4D conformal field theories with global symmetry

Riccardo Rattazzi, Alessandro Vichi

We explore the constraining power of OPE associativity in 4D conformal field theory with a continuous global symmetry group. We give a general analysis of crossing symmetry constraints in the 4-point function , where phi is ...

2011

Spinning conformal blocks

For conformal field theories in arbitrary dimensions, we introduce a method to derive the conformal blocks corresponding to the exchange of a traceless symmetric tensor appearing in four point functions of operators with spin. Using the embedding space for ...

Springer2011

Anomalous dimensions of scalar operators in CFT

Alessandro Vichi

We present a recently developed method to constrain the anomalous dimension of scalar operators in a general Conformal Field Theory (CFT). Using a consistency condition derived from four-point correlation functions it is possible to birid the anomalous dim ...

Elsevier2009

Holography from conformal field theory

The locality of bulk physics at distances below the AdS length scale is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length. In the CFT ...

Springer2009

Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling

We consider correlators of N = 4 super Yang Mills of the form A similar to , where the operators O-1 and O-2 are scalar primaries. In particular, we analyze this correlator in the planar limit and in a Lorentzian regime correspondi ...

Int School Advanced Studies2008

The conformal alpha shape filtration

Mark Pauly

Conformal alpha shapes are a new filtration of the Delaunay triangulation of a finite set of points in &Rdbl;d. In contrast to (ordinary) alpha shapes the new filtration is parameterized by a local scale parameter instead of the global scale par ...

2006

Conformal alpha shapes

Mark Pauly

We define a new filtration of the Delaunay triangulation of a finite set of points in &Rdbl;d, similar to the alpha shape filtration. The new filtration is parameterized by a local scale parameter instead of the global scale parameter in alpha s ...

2005

On the effective action of stable non-BPS branes

Claudio Scrucca

We study the world-volume effective action of stable non-BPS branes present in Type II theories compactified on K3. In particular, by exploiting the conformal description of these objects available in the orbifold limit, we argue that their world-volume ef ...

2000

Les surfaces euclidiennes à singularités coniques. (Euclidean surfaces with cone singularities).

Marc Troyanov

We prove in this paper that evry compact Riemann surface carries an euclidean (flat) conformal metric with precribed conical singularities of given angles, provided the Gauss-Bonnet relation is satisfied. This metric is unique up to homothety. ...

1986