Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane

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DateUnpublished - 20 Jun 2012
Number of pages34
Original languageEnglish

Abstract

We consider the worldsheet boundary scattering and the corresponding boundary algebras for the Z=0 giant graviton and the Z=0 D7-brane in the AdS/CFT correspondence. We consider two approaches to the boundary scattering, the usual one governed by (generalized) twisted Yangians and the q-deformed model of these boundaries governed by quantum affine coideal subalgebras. We show that the q-deformed approach leads to boundary algebras that are of a much more compact form than the corresponding twisted Yangians, and thus are favourable to use for explicit calculations. We obtain the q-deformed reflection matrices for both boundaries which in the q\rightarrow1 limit specialize to the ones obtained using twisted Yangians.

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34 pages. v2: minor typos corrected, references updated

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