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.
Observed surface forms (3)
| Surface form | Occurrences |
|---|---|
| heterotic SO(32) string theory | 2 |
| SO(32) in Type I string theory | 1 |
| Type I superstring theory | 1 |
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 ⓘ |
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