Titlebook: Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional; Enno Keßler Book 2019 The Author(s) 2019 Gravitino.Superco

Harrowing

vertebrate

Metrics and Gravitinosed on |.|. We will show that a given .-structure on . induces a metric ., a spinor bundle . and a differential form . with values in ., called gravitino, on |.|. Different .-structures on . induce metrics and gravitinos which differ only by conformal and super Weyl transformations. Furthermore, the

自负的人

The Superconformal Action Functional and any .-metric . on ., the action functional .(., .) is a function in . that depends on the super Riemann surface structure on . and the map .. We will see that the action functional .(., .) is a natural generalization of the action functional of harmonic maps on Riemann surfaces in several aspec

thwart

Vector Bundlesg linear supermanifold is slightly more complicated than in ordinary differential geometry because there are no points corresponding to odd elements of the vector space. Consequently, the theory of sections of a vector bundle is more complicated than expected, and the more algebraic approach via locally free modules is to be preferred sometimes.

铁砧

Principal Fiber Bundles formulated in terms of a reduction of the structure group of the frame bundle of the vector bundle. The theory of connections on principal bundles sheds light on properties of covariant derivatives that are compatible with such extra structures.

斥责

collagen

Minuet

Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional978-3-030-13758-8Series ISSN 0075-8434 Series E-ISSN 1617-9692

专心

INERT

https://doi.org/10.1007/978-3-030-13758-8Gravitino; Superconformal Action Functional; Supergeometry; Super Riemann Surfaces; Two-dimensional Non-