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Constraints on perturbative RG flows in six dimensions

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Central charge bounds in 4D conformal field theory

Riccardo Rattazzi, Alessandro Vichi

We derive model-independent lower bounds on the stress tensor central charge C-T in terms of the operator content of a 4-dimensional conformal field theory. More precisely, C-T is bounded from below by a universal function of the dimensions of the lowest a ...

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

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

Perturbation Theory Of The Cosmological Log-Density Field

Julien Lesgourgues, Xin Wang

The matter density field exhibits a nearly lognormal probability density distribution after entering into the nonlinear regime. Recently, it has been shown that the shape of the power spectrum of a logarithmically transformed density field is very close to ...

2011

Deep inelastic scattering in conformal QCD

We consider the Regge limit of a CFT correlation function of two vector and two scalar operators, as appropriate to study small-x deep inelastic scattering in N = 4 SYM or in QCD assuming approximate conformal symmetry. After clarifying the nature of the R ...

Springer2010

Frustration- induced plateaus in S >= 1/2 Heisenberg spin ladders

Frédéric Mila, Salvatore Manmana, Jean-David Picon, Tommaso Coletta, Frédéric Alexis Michaud

We study the T=0 magnetization of frustrated two-leg spin ladders with arbitrary value of the spin S. In the strong-rung limit, we use degenerate perturbation theory to prove that frustration leads to magnetization plateaus at fractional values of the magn ...

2010

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

Universal constraints on conformal operator dimensions

Alessandro Vichi

We continue the study of model-independent constraints on the unitary conformal field theories (CFTs) in four dimensions, initiated in [R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, J. High Energy Phys. 12 (2008) 031]. Our main result is an improved ...

2009

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