TL;DR
This paper reviews the properties of Galileon field theories and introduces new methods for constructing Galileon-like theories using probe brane and coset constructions.
Contribution
It presents novel approaches to constructing Galileon theories, expanding the toolkit for exploring scalar field theories with special symmetries.
Findings
Galileons have unique symmetry properties.
New construction methods for Galileon theories are proposed.
Theories share attractive properties of original Galileons.
Abstract
In this plenary talk delivered at the DISCRETE 2014 conference in London, I briefly summarize the ideas behind and attractive properties of the Galileon field theories, and describe a broad class of scalar field theories that share these properties. After describing how Galileons arise, and commenting on their fascinating properties, in the latter half of the talk I focus on novel ways of constructing Galileon-like theories, using both the probe brane construction, and the coset construction.
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