YBE
E911205
YBE is an abbreviation for the Yang–Baxter equation, a fundamental consistency condition in mathematical physics and integrable systems that governs how particle-like excitations scatter and reorder.
All labels observed (1)
| Label | Occurrences |
|---|---|
| YBE canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T11205432 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: YBE Context triple: [Yang–Baxter equation, alsoKnownAs, YBE]
-
A.
YB
YB is the common abbreviation for BSC Young Boys, a professional football club based in Bern, Switzerland.
-
B.
YBUD
YBUD is the ICAO airport code assigned to Bundaberg Airport in Queensland, Australia.
-
C.
YREB
YREB is a major Chinese economic development region centered along the Yangtze River, encompassing multiple provinces and key cities to promote coordinated growth and integration.
-
D.
YBNA
YBNA is the ICAO airport code for Ballina Byron Gateway Airport, a regional airport serving the Ballina and Byron Bay area in New South Wales, Australia.
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E.
BEB
BEB is the IATA airport code for Benbecula Airport, which serves the island of Benbecula in Scotland’s Outer Hebrides.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: YBE Target entity description: YBE is an abbreviation for the Yang–Baxter equation, a fundamental consistency condition in mathematical physics and integrable systems that governs how particle-like excitations scatter and reorder.
-
A.
YB
YB is the common abbreviation for BSC Young Boys, a professional football club based in Bern, Switzerland.
-
B.
YBUD
YBUD is the ICAO airport code assigned to Bundaberg Airport in Queensland, Australia.
-
C.
YREB
YREB is a major Chinese economic development region centered along the Yangtze River, encompassing multiple provinces and key cities to promote coordinated growth and integration.
-
D.
YBNA
YBNA is the ICAO airport code for Ballina Byron Gateway Airport, a regional airport serving the Ballina and Byron Bay area in New South Wales, Australia.
-
E.
BEB
BEB is the IATA airport code for Benbecula Airport, which serves the island of Benbecula in Scotland’s Outer Hebrides.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
abbreviation
ⓘ
consistency condition ⓘ integrability condition ⓘ mathematical equation ⓘ |
| alsoKnownAs |
YBE
ⓘ
star–triangle relation ⓘ |
| centralConceptIn |
braid group representations
ⓘ
theory of quantum groups ⓘ |
| describes |
consistency of three-body scattering
ⓘ
factorization of multi-particle scattering ⓘ reordering of particle-like excitations ⓘ |
| ensures |
associativity of scattering processes
ⓘ
integrability of certain quantum models ⓘ |
| field |
integrable systems
ⓘ
knot theory ⓘ mathematical physics ⓘ quantum field theory ⓘ quantum groups ⓘ statistical mechanics ⓘ |
| hasVariant |
classical Yang–Baxter equation
ⓘ
linked to:
Yang–Baxter equation
quantum Yang–Baxter equation ⓘ
linked to:
Yang–Baxter equation
set-theoretic Yang–Baxter equation ⓘ
linked to:
Yang–Baxter equation
|
| implies |
commuting transfer matrices
ⓘ
factorized S-matrix ⓘ |
| introducedInContextOf | integrable models in statistical mechanics ⓘ |
| mathematicalDomain |
algebra
ⓘ
category theory ⓘ low-dimensional topology ⓘ representation theory ⓘ |
| namedAfter |
C. N. Yang
ⓘ
R. J. Baxter ⓘ |
| refersTo | Yang–Baxter equation ⓘ |
| relatedTo |
Bethe ansatz
ⓘ
R-matrix ⓘ braid group ⓘ
linked to:
Artin braid group
exactly solvable lattice models ⓘ quantum inverse scattering method ⓘ vertex models in statistical mechanics ⓘ |
| standsFor | Yang–Baxter equation ⓘ |
| type |
functional equation
ⓘ
matrix equation ⓘ |
| usedIn |
construction of knot invariants
ⓘ
construction of quantum groups ⓘ integrable spin chains ⓘ two-dimensional solvable models ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: YBE Description of subject: YBE is an abbreviation for the Yang–Baxter equation, a fundamental consistency condition in mathematical physics and integrable systems that governs how particle-like excitations scatter and reorder.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
YBE