It is shown that the surface gravity and temperature of a stationary black hole are invariant under conformal transformations of the metric that are the identity at infinity. More precisely, we find a conformal invariant definition of the surface gravity of a conformal Killing horizon that agrees with the usual definition(s) for a true Killing horizon and is proportional to the temperature as d...

Off-diagonal profiles φ od (v) of local densities (e.g. order parameter or energy density) are calculated at the bulk critical point, by conformal methods, on a strip with transverse coordinate v, for different types of boundary conditions (free, fixed and mixed). Such profiles, which are defined by the non-vanishing matrix element 0|ˆφ(v)|φ of the appropriate operatorˆφ(v) between the ground s...

We show how conformal invariance predicts the functional form of two-point correlators in one-dimensional periodic quantum systems. Numerical evidence for this functional form in a wide class of models — including long-ranged ones — is given and it is shown how this may be used to significantly speed up calculations of critical exponents. 05.70.Jk, 11.30.-j, 64.60.Fr Typeset using REVTEX

We present a model in which the breackdown of conformal symmetry of a quantum stress-tensor due to the trace anomaly is related to a cosmological effect in a gravitational model. This is done by characterizing the traceless part of the quantum stress-tensor in terms of the stress-tensor of a conformal invariant classical scalar field. We introduce a conformal frame in which the anomalous trace ...

We study the correlation functions of logarithmic conformal field theories. First, assuming conformal invariance, we explicitly calculate two– and three– point functions. This calculation is done for the general case of more than one logarithmic field in a block, and more than one set of logarithmic fields. Then we show that one can regard the logarithmic field as a formal derivative of the ord...

We discuss a class of gauge mediated supersymmetry breaking models with con-formal invariance above the messenger mass scale (conformal gauge mediation). The spectrum of the supersymmetric particles including the gravitino is uniquely determined by the messenger mass. When the conformal fixed point is strongly interacting , it predicts a light gravitino of mass m 3/2 < O(10) eV, which is attrac...

— The morphology of vesicles with topological genus g = 2 is studied using the properties of Willmore surfaces together with the conformal invariance of the bending energy of fluid membranes. In the phase diagram of the bilayer couple model, a region exists where vesicle shapes are given by Willmore surfaces. Within this region, shapes in general have no mirror symmetries and the ground state i...

I discuss the properties of the central charges c and a for higher-derivative and higher-spin theories (spin 2 included). Ordinary gravity does not admit a straightforward identification of c and a in the trace anomaly, because it is not conformal. On the other hand, higherderivative theories can be conformal, but have negative c and a. A third possibility is to consider higher-spin conformal f...

Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers, . . . This has led to numerous exact (but non-rigorous) predictions of their scaling exponents and dimensions. We will discuss how to prove the conformal invariance conjectures, especially in relation to Schramm-Loewner Evolution. Mathemati...

A new realization of the conformal algebra is studied which mimics the behaviour of a statistical system on a discrete albeit infinite lattice. The twopoint function is found from the requirement that it transforms covariantly under this realization. The result is in agreement with explicit lattice calculations of the (1 + 1)D Ising model and the d−dimensional spherical model. A hard core is fo...