# Explicit Examples of Conformal Invariance

@article{Hortasu2001ExplicitEO, title={Explicit Examples of Conformal Invariance}, author={M. Hortaçsu}, journal={International Journal of Theoretical Physics}, year={2001}, volume={42}, pages={49-56} }

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.

## 5 Citations

Elliptic Thermal Correlation Functions and Modular Forms in a Globally Conformal Invariant QFT

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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…

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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…

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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…

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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…

## References

SHOWING 1-10 OF 48 REFERENCES

Conformal invariance, unitarity, and critical exponents in two dimensions

- Physics
- 1984

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

- Physics, Mathematics
- 2000

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

- Physics
- 2001

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…

Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory - Nucl. Phys. B241, 333 (1984)

- Mathematics, Physics
- 1984

Dilations and Interaction

- Physics
- 1977

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

- Physics
- 2001

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…