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
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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…