Probing 𝒩 = 4 SYM with surface operators

Drukker, Nadav; Gomis, Joaquim; Matsuura, Shunji

doi:10.1088/1126-6708/2008/10/048

Cited by 81 publications

(179 citation statements)

References 88 publications

(198 reference statements)

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“…This is the case for the 't Hooft loops [66], surface operators [67,68], and domain-wall defects [69,70]. It would be interesting to investigate the spin-chain representation of one-point functions in these cases as well.…”

Section: Resultsmentioning

confidence: 99%

One-point functions in defect CFT and integrability

Leeuw

Kristjansen

Zarembo

2015

J. High Energ. Phys.

127

277

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We calculate planar tree level one-point functions of non-protected operators in the defect conformal field theory dual to the D3-D5 brane system with k units of the world volume flux. Working in the operator basis of Bethe eigenstates of the Heisenberg XXX 1/2 spin chain we express the one-point functions as overlaps of these eigenstates with a matrix product state. For k = 2 we obtain a closed expression of determinant form for any number of excitations, and in the case of half-filling we find a relation with the Néel state. In addition, we present a number of results for the limiting case k → ∞.

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Section: Resultsmentioning

confidence: 99%

One-point functions in defect CFT and integrability

Leeuw

Kristjansen

Zarembo

2015

J. High Energ. Phys.

127

277

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“…[42], corresponding to elements of the form 14) with sdet āb cd = sdet a b c d = 1. The projective condition corresponding to the letter "P " is automatic in the representation (2.2).…”

Section: Jhep01(2017)122mentioning

confidence: 99%

Bootstrap equations for N $$ \mathcal{N} $$ = 4 SYM with defects

Liendo

Meneghelli

2017

J. High Energ. Phys.

119

174

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This paper focuses on the analysis of 4d N = 4 superconformal theories in the presence of a defect from the point of view of the conformal bootstrap. We will concentrate first on the case of codimension one, where the defect is a boundary that preserves half of the supersymmetry. After studying the constraints imposed by supersymmetry, we will obtain the Ward identities associated to two-point functions of 1 2 -BPS operators and write their solution as a superconformal block expansion. Due to a surprising connection between spacetime and R-symmetry conformal blocks, our results not only apply to 4d N = 4 superconformal theories with a boundary, but also to three more systems that have the same symmetry algebra: 4d N = 4 superconformal theories with a line defect, 3d N = 4 superconformal theories with no defect, and OSP(4 * |4) superconformal quantum mechanics. The superconformal algebra implies that all these systems possess a closed subsector of operators in which the bootstrap equations become polynomial constraints on the CFT data. We derive these truncated equations and initiate the study of their solutions.

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“…We will however, find out solutions for the D-branes which correspond to Wilson lines in the 3d boundary theory. We study the D2-brane completely in the Euclidean AdS 4 in analogy with the recent paper [65]. Moreover, by adding a surface term, in accordance with [57] we find that this solution has similar form as D3-brane configuration in AdS 5 and it corresponds to line operator in N = 4 SYM theory.…”

Section: Introductionmentioning

confidence: 57%