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One-point functions in $\beta$-deformed N = 4 SYM with defect
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abstract
We generalize earlier results on one-point functions in N = 4 SYM with a co-dimension one defect, dual to the D3-D5-brane setup in type IIB string theory on AdS5xS5, to a similar setup in the $\beta$-deformed version of the theory. The treelevel vacuum expectation values of single-trace operators in the two-scalar-subsector are expressed as overlaps between a matrix product state (MPS) and Bethe states in the corresponding twisted spin-chain picture. We comment on the properties of this MPS and present the simplest analytical overlaps and their behavior in a certain limit (of large k). Importantly, we note that the deformation alters earlier interpretations of the MPS as an integrable boundary state, seemingly obstructing simplifications of the overlaps analogous to the compact determinant formula found in the non-deformed theory. The results are supplemented with some supporting numerical results for operators of length eight with four excitations.
Forward citations
Cited by 2 Pith papers
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String theory methods for defect CFTs
A review paper that re-presents earlier results on integrable probe-brane defects and holographic defect correlators without adding a new central result.
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One-point functions in AdS/dCFT
A review explains how one-point functions in a D3-D5 defect CFT reduce to integrable spin chain overlaps, expressible as determinant formulas.
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