A Note on the AdS/CFT Equivalence Transformation for Galileons in General Dimensions
Kurt Hinterbichler, Samanta Saha
TL;DR
This paper extends the AdS/CFT equivalence transformation to relate different galileon theories across all dimensions, clarifying the role of Wess-Zumino terms in odd dimensions.
Contribution
It generalizes the AdS/CFT equivalence map to arbitrary dimensions and addresses the puzzle of Wess-Zumino terms in odd dimensions.
Findings
Extended the equivalence map to all dimensions
Resolved the Wess-Zumino terms puzzle in odd dimensions
Clarified the relation between Weyl dilaton and AdS brane realizations
Abstract
The AdS/CFT equivalence transformation is a field redefinition that relates the Weyl dilaton and AdS brane realizations of broken conformal symmetry. Acting on theories with second order equations of motion, it maps the conformal galileons to the DBI galileons for a flat brane probing an AdS bulk. Here we extend this map to arbitrary dimensions and resolve an apparent puzzle regarding the Wess-Zumino terms in odd dimensions.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Particle physics theoretical and experimental studies