heterotic supergravity

E586586

Heterotic supergravity is the low-energy effective field theory of heterotic string theory, combining ten-dimensional supergravity with non-abelian gauge fields in a way that allows anomaly cancellation via the Green–Schwarz mechanism.

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Statements (47)

Predicate Object
instanceOf low-energy effective field theory
string effective action
supergravity theory
ten-dimensional field theory
admits Calabi–Yau compactifications
torsional compactifications
alternativeFrame Einstein frame NERFINISHED
appearedInContextOf anomaly-free 10D superstring theories
associatedWithStringTheory E8×E8 heterotic string theory
SO(32) heterotic string theory NERFINISHED
assumes slowly varying fields compared to string length
weak string coupling
cancelsAnomaliesVia Green–Schwarz mechanism NERFINISHED
constructedToRealize Green–Schwarz anomaly cancellation mechanism NERFINISHED
containsTerm B∧Tr(F∧F)
B∧Tr(R∧R)
expansionParameter α′ (inverse string tension)
formulatedIn 10 dimensions
frameOftenUsed string frame
governs massless modes of heterotic string
hasBosonicFields {gMN, BMN, φ, AM}
hasFermionicFields {ψM, χ, λ}
hasGaugeGroup E8×E8 NERFINISHED
SO(32) NERFINISHED
hasSpacetimeDimension 10
hasSupersymmetry N=1 in 10 dimensions
includesCorrectionsOfOrder O(α′)
includesField Kalb–Ramond two-form field NERFINISHED
dilaton
gaugino
gravitino
metric tensor
non-abelian gauge fields
includesSector gauge sector
gravitational sector
matter fermion sector
isConsistentTruncationOf full heterotic string theory
isSupersymmetricExtensionOf ten-dimensional Einstein–Yang–Mills theory
lowEnergyLimitOf heterotic string theory NERFINISHED
preserves 16 supercharges
relatedTo 10D N=1 super Yang–Mills theory
requiresConstraint Bianchi identity for H-field
satisfiesCondition dH = Tr(R∧R) − Tr(F∧F)
usedFor model building in string phenomenology
studying compactifications of heterotic string theory
studying flux compactifications
validAt energies small compared to string scale

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

Green–Schwarz mechanism relatedTo heterotic supergravity