English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Two main gauge invariant off-shell models are studied in this Thesis. I)Poincare-invariant topological gravity in even dimensions is formulated as atransgression field theory whose gauge connections are associated to linear andnonlinear realizations of the Poincare group ISO(d-1,1). The resulting theoryis a gauged Wess-Zumino-Witten model whereby the transition functions relatinggauge fields belong to the coset ISO(d-1,1)/SO(d-1,1). The supersymmetricextension leads to topological supergravity in two dimensions starting from atransgression field theory for the super-Poincare group in three dimensions.The construction is extended to a three-dimensional Chern-Simons theory ofgravity invariant under the Maxwell algebra, where the corresponding Maxwellgauged Wess-Zumino-Witten model is obtained. II) dimensional reduction ofChern-Simons theories with arbitrary gauge group in a formalism based onequivariant principal bundles is considered. For the classical gauge groups therelations between equivariant principal bundles and quiver bundles isclarified, and show that the reduced quiver gauge theories are all genericallybuilt on the same universal symmetry breaking pattern. The reduced model is anovel Chern-Simons-Higgs theory consisting of a Chern-Simons term valued in theresidual gauge group plus a higher order gauge and diffeomorphism invariantcoupling of Higgs fields with the gauge fields. The moduli spaces of solutionsprovide in some instances geometric representations of certain quiver varietiesas moduli spaces of flat invariant connections. In the context of dimensionalreductions involving non-compact gauge groups, the reduction offive-dimensional supergravity induce novel couplings between gravity andmatter. The resulting model is regarded as to a quiver gauge theory ofAdS(3)xU(1) gravity involving a non-minimal coupling to scalar Higgs fermionfields.

Transgression forms as source for topological gravity and Chern-Simons-Higgs theories