Spin chain overlaps and the twisted Yangian
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Spin chain overlaps and the twisted Yangian. / de Leeuw, Marius; Gombor, Tamas; Kristjansen, Charlotte; Linardopoulos, Georgios; Pozsgay, Balazs.
In: Journal of High Energy Physics, Vol. 2020, No. 1, 176, 29.01.2020.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Spin chain overlaps and the twisted Yangian
AU - de Leeuw, Marius
AU - Gombor, Tamas
AU - Kristjansen, Charlotte
AU - Linardopoulos, Georgios
AU - Pozsgay, Balazs
PY - 2020/1/29
Y1 - 2020/1/29
N2 - Using considerations based on the thermodynamical Bethe ansatz as well as the representation theory of twisted Yangians we derive an exact expression for the overlaps between the Bethe eigenstates of the SO(6) spin chain and matrix product states built from matrices whose commutators generate an irreducible representation of so(5). The latter play the role of boundary states in a domain wall version of N = 4 SYM theory which has non-vanishing, SO(5) symmetric vacuum expectation values on one side of a codimension 1 wall. This theory, which constitutes a defect CFT, is known to be dual to a D3-D7 probe brane system. We likewise show that the same methodology makes it possible to prove an overlap formula, earlier presented without proof, which is of relevance for the similar D3-D5 probe brane system.
AB - Using considerations based on the thermodynamical Bethe ansatz as well as the representation theory of twisted Yangians we derive an exact expression for the overlaps between the Bethe eigenstates of the SO(6) spin chain and matrix product states built from matrices whose commutators generate an irreducible representation of so(5). The latter play the role of boundary states in a domain wall version of N = 4 SYM theory which has non-vanishing, SO(5) symmetric vacuum expectation values on one side of a codimension 1 wall. This theory, which constitutes a defect CFT, is known to be dual to a D3-D7 probe brane system. We likewise show that the same methodology makes it possible to prove an overlap formula, earlier presented without proof, which is of relevance for the similar D3-D5 probe brane system.
KW - Boundary Quantum Field Theory
KW - Integrable Field Theories
KW - Supersymmetric Gauge Theory
KW - AdS-CFT Correspondence
KW - ONE-POINT FUNCTIONS
KW - TYPES B
KW - REPRESENTATIONS
U2 - 10.1007/JHEP01(2020)176
DO - 10.1007/JHEP01(2020)176
M3 - Journal article
VL - 2020
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 1
M1 - 176
ER -
ID: 248237428