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