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 (5)

How this entity was disambiguated

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 ⓘ
orbifolds ⓘ
containsAntisymmetricTensor true ⓘ
containsDilaton true ⓘ
containsGraviton true ⓘ
containsNonAbelianGaugeBosons true ⓘ
criticalDimension 10 ⓘ
dualityType S-duality with Type I string theory ⓘ
gaugeGroup SO(32) ⓘ
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 ⓘ
Emil Martinec ⓘ
Jeffrey Harvey ⓘ
Ryan Rohm ⓘ
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 ⓘ
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 ⓘ
sharesMasslessSpectrumPropertyWith E8×E8 heterotic string theory ⓘ
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 ⓘ
worldsheetConformalInvariance true ⓘ
worldsheetDescription (1,0) supersymmetric sigma model with internal current algebra ⓘ
worldsheetSupersymmetry N=1 ⓘ

How these facts were elicited

Referenced by (10)

Full triples — surface form annotated when it differs from this entity's canonical label.

string theory → hasVariant → SO(32) heterotic string theory ⓘ
Green–Schwarz mechanism → appliesTo → Type I superstring theory ⓘ
linked to: SO(32) heterotic string theory
Green–Schwarz mechanism → appliesTo → heterotic SO(32) string theory ⓘ
linked to: SO(32) heterotic string theory
Green–Schwarz mechanism → requiresGaugeGroup → SO(32) in Type I string theory ⓘ
linked to: SO(32) heterotic string theory
M-theory → generalizes → heterotic SO(32) string theory ⓘ
linked to: SO(32) heterotic string theory
E8×E8 heterotic string theory → relatedTo → SO(32) heterotic string theory ⓘ
Type I supergravity → isRelatedTo → heterotic SO(32) string theory ⓘ
linked to: SO(32) heterotic string theory
heterotic supergravity → associatedWithStringTheory → SO(32) heterotic string theory ⓘ
Type I string theory → relatedBySdualityTo → SO(32) heterotic string theory ⓘ
Type I string theory → lowEnergyEffectiveTheory → SO(32) super Yang–Mills theory ⓘ
linked to: SO(32) heterotic string theory