Topics in Holography,
Supersymmetry and Higher Derivatives

Guido Festuccia

"Rigid Supersymmetry in Curved Superspace"

The study of supersymmetric field theories on curved manifolds has recently provided many interesting exact results about the dynamics of strongly coupled supersymmetric field theories. I will present a unified framework to describe rigid supersymmetry in curved space and apply it to define some exactly computable observables for supersymmetric theories in three and four dimensions and to study their properties. I will also use the general formalism to classify supersymmetric Euclidean four manifolds.

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