SO(32) heterotic string theory
E508535
SO(32) heterotic string theory is a ten-dimensional, anomaly-free string theory whose gauge symmetry group is SO(32), playing a key role in early unified models of fundamental interactions.
All labels observed (4)
| Label | Occurrences |
|---|---|
| heterotic SO(32) string theory | 2 |
| SO(32) heterotic string theory canonical | 1 |
| SO(32) in Type I string theory | 1 |
| Type I superstring theory | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5273828 — 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: SO(32) heterotic string theory Context triple: [string theory, hasVariant, SO(32) heterotic string theory]
-
A.
Superstring Theory, Volume 1: Introduction
Superstring Theory, Volume 1: Introduction is a foundational graduate-level textbook that systematically presents the basic concepts, mathematical framework, and physical motivations of superstring theory.
-
B.
Superstring Theory, Volume 2: Loop Amplitudes, Anomalies and Phenomenology
"Superstring Theory, Volume 2: Loop Amplitudes, Anomalies and Phenomenology" is a foundational advanced textbook that develops the quantum and phenomenological aspects of superstring theory, including loop calculations, anomaly cancellation, and connections to particle physics.
-
C.
Green–Schwarz mechanism
The Green–Schwarz mechanism is a key anomaly-cancellation process in string theory that ensures the mathematical consistency of certain superstring models by eliminating gauge and gravitational anomalies.
-
D.
M-theory
M-theory is a proposed unifying framework in theoretical physics that generalizes string theories into an eleven-dimensional model aiming to reconcile quantum mechanics with gravity.
-
E.
Calabi–Yau manifold
A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
- 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: SO(32) heterotic string theory Target entity description: SO(32) heterotic string theory is a ten-dimensional, anomaly-free string theory whose gauge symmetry group is SO(32), playing a key role in early unified models of fundamental interactions.
-
A.
Superstring Theory, Volume 1: Introduction
Superstring Theory, Volume 1: Introduction is a foundational graduate-level textbook that systematically presents the basic concepts, mathematical framework, and physical motivations of superstring theory.
-
B.
Superstring Theory, Volume 2: Loop Amplitudes, Anomalies and Phenomenology
"Superstring Theory, Volume 2: Loop Amplitudes, Anomalies and Phenomenology" is a foundational advanced textbook that develops the quantum and phenomenological aspects of superstring theory, including loop calculations, anomaly cancellation, and connections to particle physics.
-
C.
Green–Schwarz mechanism
The Green–Schwarz mechanism is a key anomaly-cancellation process in string theory that ensures the mathematical consistency of certain superstring models by eliminating gauge and gravitational anomalies.
-
D.
M-theory
M-theory is a proposed unifying framework in theoretical physics that generalizes string theories into an eleven-dimensional model aiming to reconcile quantum mechanics with gravity.
-
E.
Calabi–Yau manifold
A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
- F. None of above. chosen
Statements (52)
| Predicate | Object |
|---|---|
| instanceOf |
heterotic string theory
ⓘ
string theory ⓘ ten-dimensional quantum theory ⓘ |
| admits |
Higgs mechanism in effective field theory
ⓘ
spontaneous gauge symmetry breaking via Wilson lines ⓘ |
| compactifiableTo | four-dimensional effective theories ⓘ |
| compactificationManifoldsInclude |
Calabi–Yau threefolds
NERFINISHED
ⓘ
orbifolds ⓘ |
| containsAntisymmetricTensor | true ⓘ |
| containsDilaton | true ⓘ |
| containsGraviton | true ⓘ |
| containsNonAbelianGaugeBosons | true ⓘ |
| criticalDimension | 10 ⓘ |
| dualityType | S-duality with Type I string theory ⓘ |
| gaugeGroup | SO(32) NERFINISHED ⓘ |
| gaugeGroupDimension | 496 ⓘ |
| gaugeGroupRank | 16 ⓘ |
| gaugeSymmetryRealization | current algebra on the worldsheet ⓘ |
| GreenSchwarzTermInvolves | B∧(Tr F^2 − Tr R^2) ⓘ |
| hasChiralFermions | true ⓘ |
| historicalDevelopmentPeriod | mid-1980s ⓘ |
| internalLattice | Spin(32)/Z2 root lattice ⓘ |
| introducedBy |
David Gross
NERFINISHED
ⓘ
Emil Martinec NERFINISHED ⓘ Jeffrey Harvey NERFINISHED ⓘ Ryan Rohm NERFINISHED ⓘ |
| isAnomalyFree | true ⓘ |
| isChiralInTenDimensions | true ⓘ |
| isOneOf | five consistent 10D superstring theories ⓘ |
| isPerturbativelyConsistent | true ⓘ |
| isSuperstring | true ⓘ |
| isTachyonFree | true ⓘ |
| leftMovingSector | supersymmetric ⓘ |
| lowEnergyLimit | 10D N=1 supergravity coupled to SO(32) super Yang–Mills ⓘ |
| playsRoleIn | early unified models of fundamental interactions ⓘ |
| relatedByDualityTo | Type I string theory NERFINISHED ⓘ |
| requiresCondition | Tr F^4 and (Tr F^2)^2 combinations cancel anomalies with gravity ⓘ |
| requiresForConsistency | anomaly cancellation ⓘ |
| rightMovingInternalCFT | c=16 lattice theory ⓘ |
| rightMovingSector | bosonic ⓘ |
| satisfies | Green–Schwarz anomaly cancellation mechanism ⓘ |
| sharesGaugeGroupDimensionWith | E8×E8 heterotic string theory NERFINISHED ⓘ |
| sharesMasslessSpectrumPropertyWith | E8×E8 heterotic string theory NERFINISHED ⓘ |
| spacetimeDimension | 10 ⓘ |
| stringCouplingInversionUnderDuality | g_het = 1 / g_TypeI ⓘ |
| stringType | closed string theory ⓘ |
| targetSpaceSupersymmetry | N=1 in 10 dimensions ⓘ |
| usedIn | model building for grand unification ⓘ |
| wasCentralTo | Green–Schwarz anomaly cancellation discovery NERFINISHED ⓘ |
| worldsheetConformalInvariance | true ⓘ |
| worldsheetDescription | (1,0) supersymmetric sigma model with internal current algebra ⓘ |
| worldsheetSupersymmetry | N=1 ⓘ |
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: SO(32) heterotic string theory Description of subject: SO(32) heterotic string theory is a ten-dimensional, anomaly-free string theory whose gauge symmetry group is SO(32), playing a key role in early unified models of fundamental interactions.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Type I superstring theory
this entity surface form:
heterotic SO(32) string theory
this entity surface form:
SO(32) in Type I string theory
this entity surface form:
heterotic SO(32) string theory