Topological Quantum Field Theory
GPTKB entity
Properties (54)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:physicist
|
| gptkbp:appliesTo |
gptkb:quantum_computing
|
| gptkbp:associated_with |
braiding statistics
the study of modular tensor categories quantum_invariants |
| gptkbp:can_be |
functorial field theories
|
| gptkbp:explores |
phase transitions
high-energy physics |
| gptkbp:formulation |
category theory
|
| gptkbp:has_a_focus_on |
theoretical computer science
mathematical research |
| gptkbp:has_implications_for |
string theory dualities
|
| gptkbp:hasPrograms |
mathematics
condensed matter physics |
| https://www.w3.org/2000/01/rdf-schema#label |
Topological Quantum Field Theory
|
| gptkbp:includes |
gptkb:Chern-Simons_theory
topological invariants |
| gptkbp:influenced |
algebraic topology
string theory concepts |
| gptkbp:is_a |
quantum_field_theory
|
| gptkbp:is_a_platform_for |
symmetry in physics
field theories in different dimensions understanding_quantum_states |
| gptkbp:is_a_subject_of |
theoretical physics
|
| gptkbp:is_a_tool_for |
computing observables
the_geometry_of_quantum_states |
| gptkbp:is_characterized_by |
invariance under smooth deformations
|
| gptkbp:is_linked_to |
modular forms
|
| gptkbp:is_part_of |
modern theoretical physics
|
| gptkbp:is_studied_in |
mathematical physics
topological order quantum anomalies the behavior of quantum systems under deformations the interplay between geometry and physics quantum_gravity_theories |
| gptkbp:is_used_in |
string theory
topological phases of matter |
| gptkbp:isConnectedTo |
homotopy theory
knot theory the study of manifolds non-abelian gauge theories the study of quantum entanglement the Atiyah-Segal axioms |
| gptkbp:isUsedFor |
topological invariants of manifolds
|
| gptkbp:produces |
gptkb:Edward_Witten
|
| gptkbp:provides |
quantum_gravity
|
| gptkbp:related_to |
topology
topological quantum computing gauge theory topological defects twisted theories the study of quantum categories the study of quantum field theories on manifolds. |
| gptkbp:research |
topological properties
|