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

TL;DR

This paper investigates integrable boundary conditions in the AdS/CFT framework, comparing twisted Yangians and q-deformed quantum affine algebras, and derives reflection matrices for the Z=0 giant graviton and D7-brane.

Contribution

It introduces a q-deformed algebraic approach to boundary scattering in AdS/CFT, providing more compact boundary algebras and explicit reflection matrices.

Findings

q-deformed boundary algebras are more compact than twisted Yangians

Derived q-deformed reflection matrices for Z=0 giant graviton and D7-brane

Reflection matrices reduce to twisted Yangian results as q approaches 1

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.