Many faces of D-branes: From flat space, via AdS to pp-waves
Marija Zamaklar

TL;DR
This paper reviews recent research on D-branes in AdS, S, and pp-wave backgrounds, focusing on effective actions and algebraic methods to understand their properties and symmetries.
Contribution
It provides a comprehensive overview of both effective action approaches and algebraic extensions for studying D-branes in various curved backgrounds.
Findings
Effective action methods elucidate brane dynamics in curved spaces.
Algebraic extensions reveal symmetries and charge structures of D-branes.
Unified perspective on branes in AdS and pp-wave geometries.
Abstract
We review recent studies of branes in AdS x S and pp-wave spaces using effective action methods (probe branes and supergravity). We also summarise results on an algebraic study of D-branes in these spaces, using extensions of the superisometry algebras which include brane charges.
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