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Integrable boundaries in AdS/CFT: revisiting the \(Z=0\) giant graviton and D7-brane. (English) Zbl 1342.81417

Summary: 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 the (generalized) twisted Yangians and the q-deformed model of these boundaries governed by the quantum affine coideal subalgebras. We show that the \(q\)-deformed approach leads to boundary algebras that are of a 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 \(q \to 1\) limit specialize to the ones obtained using twisted Yangians.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
83E30 String and superstring theories in gravitational theory
83F05 Relativistic cosmology
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