S-matrix for magnons in the D1-D5 system

David, Justin R.; Sahoo, Bindusar

doi:10.1007/jhep10(2010)112

Cited by 63 publications

(103 citation statements)

References 47 publications

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“…We conclude that the one-loop dilatation operator in this sector is given by 16) in the so(4) sector, up to an overall numerical constant. This is precisely the Hamiltonian of the integrable so(4) spin-chain [42,43].…”

Section: Jhep06(2015)103mentioning

confidence: 69%

Integrability and the conformal field theory of the Higgs branch

Sax

Sfondrini

Stefański

2015

J. High Energ. Phys.

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In the context of the AdS 3 /CFT 2 correspondence, we investigate the Higgs branch CFT 2 . Witten showed that states localised near the small instanton singularity can be described in terms of vector multiplet variables. This theory has a planar, weakcoupling limit, in which anomalous dimensions of single-trace composite operators can be calculated. At one loop, the calculation reduces to finding the spectrum of a spin-chain with nearest-neighbour interactions. This CFT 2 spin-chain matches precisely the one that was previously found as the weak-coupling limit of the integrable system describing the AdS 3 side of the duality. We compute the one-loop dilatation operator in a non-trivial compact subsector and show that it corresponds to an integrable spin-chain Hamiltonian. This provides the first direct evidence of integrability on the CFT 2 side of the correspondence.

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Section: Jhep06(2015)103mentioning

confidence: 69%

Integrability and the conformal field theory of the Higgs branch

Sax

Sfondrini

Stefański

2015

J. High Energ. Phys.

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“…It should be possible also to find the one-loop corrections to phases by studying the leading quantum corrections near semiclassical solutions like the "giant magnon" and spinning string, generalizing the corresponding investigations [17,20] in the q = 0 case.…”

Section: Discussionmentioning

confidence: 99%

“…on the value of the NSNS flux. At the same time, there should be a string 1-loop correction proportional to q (indeed, there was no 1-loop correction in the q = 0 case [16,17]). It would be interesting to confirm the presence of this correction by a string-theory computation of the one-loop correction to the corresponding giant-magnon energy, thus providing a non-trivial check of the exact dispersion relation (4.1).…”

Section: General Structure and Limitsmentioning

confidence: 99%

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Massive S-matrix of AdS3×S3×T4 superstring theory with mixed 3

Hoare¹,

Tseytlin²

2013

Nuclear Physics B

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The type IIB supergravity AdS 3 × S 3 × T 4 background with mixed RR and NSNS 3-form fluxes is a near-horizon limit of a non-threshold bound state of D5-D1 and NS5-NS1 branes. The corresponding superstring world-sheet theory is expected to be integrable, opening the possibility of computing its exact spectrum for any values of the coefficient q of the NSNS flux and the string tension. In arXiv:1303.1447 we have found the treelevel S-matrix for the massive BMN excitations in this theory, which turned out to have a simple dependence on q. Here, by analyzing the constraints of symmetry and integrability, we propose an exact massive-sector dispersion relation and the exact S-matrix for this world-sheet theory. The S-matrix generalizes its recent construction in the q = 0 case in arXiv:1303.5995.

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“…Let us a ssume that we have a solution to the Bethe equations (2.15) where one of the u 2,k roots sits at zero: 26) and with total momentum…”

Section: Degeneracies In the Spectrummentioning

confidence: 99%

Integrability, spin-chains and the AdS3/CFT2 correspondence

Sax

Stefański

2011

J. High Energ. Phys.

146

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Building on arXiv:0912.1723 [1], in this paper we investigate the AdS 3 /CFT 2 correspondence using integrability techniques. We present an all-loop Bethe Ansatz (BA) for strings on AdS 3 × S 3 × S 3 × S 1 , with symmetry d(2, 1; α) 2 , valid for all values of α. This construction relies on a novel, α-dependent generalisation of the Zhukovsky map. We investigate the weakly-coupled limit of this BA and of the all-loop BA for strings on AdS 3 × S 3 × T 4 . We construct integrable short-range spin-chains and Hamiltonians that correspond to these weakly-coupled BAs. The spin-chains are alternating and homogenous, respectively. The alternating spinchain can be regarded as giving some of the first hints about the unknown CFT 2 dual to string theory on AdS 3 ×S 3 ×S 3 ×S 1 . We show that, in the α → 1 limit, the integrable structure of the d(2, 1; α) 2 model is non-singular and keeps track of not just massive but also massless modes. This provides a way of incorporating massless modes into the integrability machinery of the AdS 3 /CFT 2 correspondence.

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S-matrix for magnons in the D1-D5 system

Cited by 63 publications

References 47 publications

Integrability and the conformal field theory of the Higgs branch

Integrability and the conformal field theory of the Higgs branch

Massive S-matrix of AdS3×S3×T4 superstring theory with mixed 3

Integrability, spin-chains and the AdS3/CFT2 correspondence

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