Statements (102)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theoretical_physics
|
| gptkbp:appliesTo |
gptkb:statistical_mechanics
gptkb:string_theory critical phenomena |
| gptkbp:dimensions |
two-dimensional
higher-dimensional |
| gptkbp:field |
gptkb:theoretical_physics
mathematical physics |
| gptkbp:form |
gptkb:C*-algebra
gptkb:modular_tensor_category representation theory |
| gptkbp:notableContributor |
gptkb:Edward_Witten
gptkb:John_Cardy gptkb:Paul_Ginsparg gptkb:Alexander_Belavin gptkb:Alexander_Polyakov gptkb:Alexander_Zamolodchikov gptkb:Gregory_Moore Al. B. Zamolodchikov |
| gptkbp:notablePublication |
Infinite conformal symmetry in two-dimensional quantum field theory (Belavin, Polyakov, Zamolodchikov, 1984)
Modular invariance and the fusion algebra (Verlinde, 1988) Conformal invariance and critical phenomena (Polyakov, 1970) |
| gptkbp:relatedTo |
gptkb:Virasoro_algebra
gptkb:Wess–Zumino–Witten_model gptkb:conformal_symmetry gptkb:AdS/CFT_correspondence conformal bootstrap minimal models modular invariance operator product expansion primary field |
| gptkbp:studies |
quantum field theories with conformal symmetry
|
| gptkbp:uses |
gptkb:locality
gptkb:Ising_model gptkb:percolation_theory gptkb:quantum_field_theory gptkb:quantum_gravity gptkb:superconformal_field_theory gptkb:C*-algebra gptkb:Potts_model gptkb:Ward_identity gptkb:Lie_group gptkb:Liouville_field_theory gptkb:conformal_bootstrap_program gptkb:conformal_group gptkb:logarithmic_conformal_field_theory gptkb:modular_group gptkb:modular_functor gptkb:Kac_determinant gptkb:stress-energy_tensor gptkb:Sugawara_construction black hole physics complex analysis integrable systems modular forms random matrix theory elliptic curves partition function quantum groups holography conformal mapping path integral braid group correlation function crossing symmetry quantum integrability unitarity central charge conformal anomaly fusion rules modular invariance monodromy theta functions entanglement entropy boundary conformal field theory fermionization bosonization Ward identities modular transformation conformal weights fusion algebra holomorphic factorization modular S-matrix radial quantization rational conformal field theory Coulomb gas formalism conformal block descendant field non-rational conformal field theory null vector representation theory of infinite-dimensional algebras Knizhnik–Zamolodchikov equation antiholomorphic factorization coset construction null states operator-state correspondence orbifold construction scaling dimension statistical lattice models |
| gptkbp:bfsParent |
gptkb:Dedekind_eta_function
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Conformal field theory
|