Green–Schwarz mechanism

E141910

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.

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Predicate Object
instanceOf anomaly cancellation mechanism
theoretical physics concept
appliesTo SO(32) heterotic string theory
surface form: Type I superstring theory

certain 10-dimensional supergravity theories
SO(32) heterotic string theory
surface form: heterotic SO(32) string theory
cancels chiral gauge anomalies
mixed gauge–gravitational anomalies
pure gravitational anomalies in certain models
category anomaly cancellation
string theory mechanisms
developedBy John H. Schwarz
Michael B. Green
dimension 10-dimensional spacetime
ensures quantum consistency of certain superstring models
field high-energy theoretical physics
quantum field theory
string theory
historicalImpact helped establish superstring theory as a consistent quantum theory of gravity
triggered first superstring revolution
inspired generalized Green–Schwarz mechanisms in lower-dimensional effective theories
subsequent work on anomaly inflow in brane physics
involves Green–Schwarz term B∧X_8 in the effective action
coupling of B-field to gauge and curvature forms
modification of Bianchi identities
keyIdea addition of higher-derivative Chern–Simons terms
anomaly cancellation via inflow from variation of B-field couplings
modification of gauge and Lorentz transformations of the B-field
mathematicalTool anomaly polynomial in 12 dimensions
descent equations
namedAfter John H. Schwarz
Michael Green
operatesAt one-loop level anomalies
publicationContext papers on anomaly cancellation in supersymmetric string theories in 1984
purpose cancellation of gauge anomalies
cancellation of gravitational anomalies
ensuring consistency of superstring theories
relatedTo Chern–Simons theory
surface form: Chern–Simons forms

Type I supergravity
anomaly inflow
heterotic supergravity
requires factorization of the anomaly polynomial
specific relations among gauge group and matter content
requiresGaugeGroup SO(32) heterotic string theory
surface form: SO(32) in Type I string theory

SO(32) in heterotic string theory
usesField antisymmetric tensor field B_{μν}
two-form gauge field
yearProposed 1984

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Referenced by (4)

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

Michael Green knownFor Green–Schwarz mechanism
Michael Green notableConcept Green–Schwarz mechanism
this entity surface form: Green–Schwarz superstring
John H. Schwarz knownFor Green–Schwarz mechanism
John H. Schwarz notableWork Green–Schwarz mechanism
this entity surface form: Green–Schwarz anomaly cancellation paper (1984)