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 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->1 limit specialize to the ones obtained using twisted Yangians.
Highlights
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 show that the q-deformed approach leads to boundary algebras that are of a more compact form than the corresponding twisted Yangians, and are favourable to use for explicit calculations
The boundary scattering for the Y = 0 giant graviton and the Y = 0 D7-brane are identical and were shown to be governed by a twisted Yangian of type I [57,58,59], the boundary scattering for the Z = 0 giant graviton is governed by the twisted Yangian of type II [60], and for the D5-brane it is the achiral twisted Yangian [61]
Summary
We will first recall the symmetry properties and the necessary preliminaries of the worldsheet scattering and reflection matrices.
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