Electronic Resource
Supermanifold cohomology and the WessZumino term of the covariant superstring action
(1987)
Springer
ISSN:
14320916
Source:
Springer Online Journal Archives 18602000
Topics:
Mathematics
,
Physics
Notes:
Abstract The cohomology theory of supermanifolds is developed. Its basic properties are established and simple examples given. The WessZumino term in the GreenSchwarz covariant superstring action is interpreted as a nontrivial class in the “supersymmetric cohomology” of flat superspace. A quotient supermanifold with nontrivial topology reflecting this class is constructed. It is shown that there is no topological quantization condition for the coefficient of the WessZumino term. The superstring differs from conventional sigma models in this respect because its action is Grassmannvalued and its group manifold (superspace) is noncompact.
Type of Medium:
Electronic Resource
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