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

TY - UNPB

T1 - Integrable boundaries in AdS/CFT

T2 - revisiting the Z=0 giant graviton and D7-brane

AU - de Leeuw, Marius

AU - Regelskis, Vidas

N1 - 34 pages. v2: minor typos corrected, references updated

PY - 2012/6/20

Y1 - 2012/6/20

N2 - 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.

AB - 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.

M3 - Preprint

BT - Integrable boundaries in AdS/CFT

ER -