Non-linear representations of the conformal group and mapping of galileons
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Publication:737645
DOI10.1007/JHEP10(2013)040zbMATH Open1342.83050arXiv1306.2946WikidataQ125706520 ScholiaQ125706520MaRDI QIDQ737645
Author name not available (Why is that?)
Publication date: 12 August 2016
Published in: (Search for Journal in Brave)
Abstract: There are two common non-linear realizations of the 4D conformal group: in the first, the dilaton is the conformal factor of the effective metric eta_{mu
u} e^{-2 pi}; in the second it describes the fluctuations of a brane in AdS_5. The two are related by a complicated field redefinition, found by Bellucci, Ivanov and Krivonos (2002) to all orders in derivatives. We show that this field redefinition can be understood geometrically as a change of coordinates in AdS_5. In one gauge the brane is rigid at a fixed radial coordinate with a conformal factor on the AdS_5 boundary, while in the other one the brane bends in an unperturbed AdS_5. This geometrical picture illuminates some aspects of the mapping between the two representations. We show that the conformal Galileons in the two representations are mapped into each other in a quite non-trivial way: the DBI action, for example, is mapped into a complete linear combination of all the five Galileons in the other representation. We also verify the equivalence of the dilaton S-matrix in the two representations and point out that the aperture of the dilaton light-cone around non-trivial backgrounds is not the same in the two representations.
Full work available at URL: https://arxiv.org/abs/1306.2946
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