Scalar one-point functions and matrix product states of AdS/dCFT - INSPIRE

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Scalar one-point functions and matrix product states of AdS/dCFT

Feb 5, 2018

6 pages

Published in:

Phys.Lett.B 781 (2018) 238-243

Published: Jun 10, 2018

e-Print:

1802.01598 [hep-th]

DOI:

10.1016/j.physletb.2018.03.083

Report number:

TCDMATH-18-04

View in:

ADS Abstract Service

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Abstract: (Elsevier)

We determine in a closed form all scalar one-point functions of the defect CFT dual to the D3–D5 probe brane system with k units of flux which amounts to calculating the overlap between a Bethe eigenstate of the integrable SO(6) spin chain and a certain matrix product state of bond dimension k . In particular, we show that the matrix product state is annihilated by all the parity odd charges of the spin chain which has recently been suggested as the criterion for such a state to correspond to an integrable initial state. Finally, we discuss the properties of the analogous matrix product state for the SO(5) symmetric D3–D7 probe brane set-up.

Note:

6 pages

AdS/CFT correspondence
defect CFT
probe branes
one-point functions
SO(6) spin chain
matrix product states
Defect CFT
Probe branes
One-point functions
Matrix product states

References(29)

Figures(0)

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