Geometric structures of super-(Diff\((S^ 1)/S^ 1)\) (Q1113497)
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scientific article; zbMATH DE number 4082539
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric structures of super-(Diff\((S^ 1)/S^ 1)\) |
scientific article; zbMATH DE number 4082539 |
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Geometric structures of super-(Diff\((S^ 1)/S^ 1)\) (English)
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1989
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Superconformal invariance is of central importance to a perturbative and non-perturbative formulation of string theory. The group that describes the invariances of the superstring is the super-Virasoro group, Super-Diff\((S^ 1)\). The super-reparametrizations of the circle that leave a point fixed compose the quotient space Super-(Diff\((S^ 1)/S^ 1)\). We investigate the holomorphic geometry of this infinite-dimensional Kähler supermanifold and calculate its curvature.
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Superconformal invariance
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string theory
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superstring
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super-Virasoro group
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Kähler supermanifold
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