AdS/dCFT one-point functions of the SU(3) sector - INSPIRE

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AdS/dCFT one-point functions of the SU(3) sector

Marius de Leeuw
(
- Bohr Inst.
)
,
Charlotte Kristjansen
(
- Bohr Inst.
)
,
Stefano Mori
(
- Bohr Inst.
)

Jul 11, 2016

6 pages

Published in:

Phys.Lett.B 763 (2016) 197-202

Published: Dec 10, 2016

e-Print:

1607.03123 [hep-th]

DOI:

10.1016/j.physletb.2016.10.044

View in:

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Abstract: (Elsevier)

We propose a closed formula for the tree-level one-point functions of non-protected operators belonging to an SU(3) sub-sector of the defect CFT dual to the D3–D5 probe brane system with background gauge field flux, k , valid for k=2 . The formula passes a number of non-trivial analytical and numerical tests. Our proposal is based on expressing the one-point functions as an overlap between a Bethe eigenstate of the SU(3) spin chain and a certain matrix product state, deriving various factorization properties of the Gaudin norm and performing explicit computations for shorter spin chains. As its SU(2) counterpart, the one-point function formula for the SU(3) sub-sector is of determinant type. We discuss the differences with the SU(2) case and the challenges in extending the present formula beyond k=2 .

Note:

6 pages

Holography
AdS/CFT correspondence
D3–D5 system
One-point functions
SU(3) spin chain
spin: chain
tree approximation
membrane model
factorization
flux: background

References(17)

Figures(0)

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