A multipoint conformal block chain in d dimensions

Global Conformal Invariance in D-dimensions and Logarithmic Correlation Functions

PACS: 11.25.Hf Keyword: Conformal Field Theory e-mail address: [email protected] e-mail address: [email protected]

Unscreened polyelectrolyte chain in d dimensions : a Monte Carlo simulation

Conformal Fields in Higher Dimensions

We generalize, to any space-time dimension, the unitarity bounds of highest weight UIR’s of the conformal groups with Lie algebras so(2, d). We classify gauge theories invariant under so(2, d), both integral and half-integral spins. A similar analysis is carried out for the algebras so(2n). We study new unitary modules of the conformal algebra in d > 4, that have no analogue for d ≤ 4 as they c...

A Block-Grouping Method for Image Denoising by Block Matching and 3-D Transform Filtering

Image denoising by block matching and threedimensionaltransform filtering (BM3D) is a two steps state-ofthe-art algorithm that uses the redundancy of similar blocks innoisy image for removing noise. Similar blocks which can havesome overlap are found by a block matching method and groupedto make 3-D blocks for 3-D transform filtering. In this paper wepropose a new block grouping algorithm in th...

Conformal field theories in fractional dimensions.

We study the conformal bootstrap in fractional space-time dimensions, obtaining rigorous bounds on operator dimensions. Our results show strong evidence that there is a family of unitary conformal field theories connecting the 2D Ising model, the 3D Ising model, and the free scalar theory in 4D. We give numerical predictions for the leading operator dimensions and central charge in this family ...