Explicit Examples of Conformal Invariance

  title={Explicit Examples of Conformal Invariance},
  author={M. Hortaçsu},
  journal={International Journal of Theoretical Physics},
  • M. Hortaçsu
  • Published 11 June 2001
  • Mathematics
  • International Journal of Theoretical Physics
We study examples where conformal invariance implies rational critical indices, triviality of the underlying quantum field theory, and emergence of hypergeometric functions as solutions of the field equations. 
Elliptic Thermal Correlation Functions and Modular Forms in a Globally Conformal Invariant QFT
Global conformal invariance (GCI) of quantum field theory (QFT) in two and higher space-time dimensions implies the Huygens' principle, and hence, rationality of correlation functions of observable
Conformally Invariant Equations for Graviton
Recent astrophysical data indicate that our universe might currently be in a de Sitter (dS) phase. The importance of dS space has been primarily ignited by the study of the inflationary model of the
Unit Invariance as a Unifying Principle of Physics
A basic principle of physics is the freedom to locally choose any unit system when describing physical quantities. Its implementation amounts to treating Weyl invariance as a fundamental symmetry of
symODE2: Symbolic analysis of second-order ordinary differential equations with polynomial coefficients
An open-source package for symbolic analysis of second-order ordinary differential equations with polynomial coefficients is proposed. The approach is mainly based on the singularity structure of the


Conformal invariance, unitarity, and critical exponents in two dimensions
L'invariance conforme et l'unitarite limitent severement les valeurs possibles des exposants critiques dans les systemes a 2 dimensions
Singularity in a (2+1)-dimensional AdS scalar black hole
We study the spacetime singularity in a (2+1)-dimensional AdS scalar black hole with circular symmetry using a quasihomogeneous model. We show that this is a spacelike, scalar curvature,
Exact solution for (2+1)-dimensional critical collapse
We find an exact solution in closed form for the critical collapse of a scalar field with a cosmological constant in 2+1 dimensions. This solution agrees with the numerical simulations done by
Dilations and Interaction
As a consequence of the geometrical features of dilations massless particles do not interact in a local, dilationally invariant quantum theory. This result also holds in models in which dilations are
Choptuik scaling and quasinormal modes in the AdS / CFT correspondence
We establish an exact connection between the Choptuik scaling parameter for the three-dimensional Ba\~nados-Teitelboim-Zanelli black hole, and the imaginary part of the quasinormal frequencies for