Displaying similar documents to “Ward identities from recursion formulas for correlation functions in conformal field theory”

Lower quantization coefficient and the F-conformal measure

Mrinal Kanti Roychowdhury (2011)

Colloquium Mathematicae

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Let F = f ( i ) : 1 ≤ i ≤ N be a family of Hölder continuous functions and let φ i : 1 ≤ i ≤ N be a conformal iterated function system. Lindsay and Mauldin’s paper [Nonlinearity 15 (2002)] left an open question whether the lower quantization coefficient for the F-conformal measure on a conformal iterated funcion system satisfying the open set condition is positive. This question was positively answered by Zhu. The goal of this paper is to present a different proof of this result.

Structures ofW(2.2) Lie conformal algebra

Lamei Yuan, Henan Wu (2016)

Open Mathematics

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The purpose of this paper is to study W(2, 2) Lie conformal algebra, which has a free ℂ[∂]-basis L, M such that [...] [LλL]=(∂+2λ)L,[LλM]=(∂+2λ)M,[MλM]=0 . In this paper, we study conformal derivations, central extensions and conformal modules for this Lie conformal algebra. Also, we compute the cohomology of this Lie conformal algebra with coefficients in its modules. In particular, we determine its cohomology with trivial coefficients both for the basic and reduced complexes. ...

Volume and area renormalizations for conformally compact Einstein metrics

Graham, Robin C.

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Let X be the interior of a compact manifold X ¯ of dimension n + 1 with boundary M = ∂ X , and g + be a conformally compact metric on X , namely g ¯ ≡ r 2 g + extends continuously (or with some degree of smoothness) as a metric to X , where r denotes a defining function for M , i.e. r > 0 on X and r = 0 , d r ≠ 0 on M . The restrction of g ¯ to T M rescales upon changing r , so defines invariantly a conformal class of metrics on M , which is called the conformal infinity of g + . In the present paper, the author considers conformally compact...

Asymptotically conformal classes and non-Strebel points

Guowu Yao (2016)

Studia Mathematica

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Let T(Δ) be the universal Teichmüller space on the unit disk Δ and T₀(Δ) be the set of asymptotically conformal classes in T(Δ). Suppose that μ is a Beltrami differential on Δ with [μ] ∈ T₀(Δ). It is an interesting question whether [tμ] belongs to T₀(Δ) for general t ≠ 0, 1. In this paper, it is shown that there exists a Beltrami differential μ ∈ [0] such that [tμ] is a non-trivial non-Strebel point for any t ∈ ( - 1 / | | μ | | ∞ , 1 / | | μ | | ∞ ) ∖ 0 , 1 .