Integrable open spin-chains in AdS3/CFT2 correspondences

TY - JOUR

T1 - Integrable open spin-chains in AdS3/CFT2 correspondences

AU - Prinsloo, Andrea

AU - Regelskis, Vidas

AU - Torrielli, Alessandro

N1 - v1: 61 pages, 6 figures; v2: minor changes and reference added; v3: minor changes, 60 pages, version accepted to journal

PY - 2015/5/25

Y1 - 2015/5/25

N2 - We study integrable open boundary conditions for d(2,1;\alpha)^2 and psu(1,1|2)^2 spin-chains. Magnon excitations of these open spin-chains are mapped to massive excitations of type IIB open superstrings ending on D-branes in the AdS_3 x S^3 x S^3 x S^1 and AdS_3 x S^3 x T^4 supergravity geometries with pure R-R flux. We derive reflection matrix solutions of the boundary Yang-Baxter equation which intertwine representations of a variety of boundary coideal subalgebras of the bulk Hopf superalgebra. Many of these integrable boundaries are matched to D1- and D5-brane maximal giant gravitons.

AB - We study integrable open boundary conditions for d(2,1;\alpha)^2 and psu(1,1|2)^2 spin-chains. Magnon excitations of these open spin-chains are mapped to massive excitations of type IIB open superstrings ending on D-branes in the AdS_3 x S^3 x S^3 x S^1 and AdS_3 x S^3 x T^4 supergravity geometries with pure R-R flux. We derive reflection matrix solutions of the boundary Yang-Baxter equation which intertwine representations of a variety of boundary coideal subalgebras of the bulk Hopf superalgebra. Many of these integrable boundaries are matched to D1- and D5-brane maximal giant gravitons.

KW - hep-th

KW - math-ph

KW - math.MP

KW - nlin.SI

U2 - 10.1103/PhysRevD.92.106006

DO - 10.1103/PhysRevD.92.106006

M3 - Article

VL - 92

JO - Phys. Rev. E

JF - Phys. Rev. E

M1 - 106006

ER -