Foundations of the AdS<sub>5</sub>× S<sup>5</sup>superstring: I

Arutyunov, Gleb; Frolov, Sergey

doi:10.1088/1751-8113/42/25/254003

Cited by 379 publications

(942 citation statements)

References 157 publications

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“…Due to the maximal supersymmetry of the background the Green-Schwarz action is known to all orders in fermions and is given by the supercoset model of [35,38]. Since we know in particular the sixth order Θ 6 -terms this allows us to compute the two-loop correction to the two-point functions for the fermions as well.…”

Section: Massive Modesmentioning

confidence: 99%

The AdS n × S n × T 10−2n BMN string at two loops

Sundin

Wulff

2015

J. High Energ. Phys.

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Abstract:We calculate the two-loop correction to the dispersion relation for worldsheet modes of the BMN string in AdS n × S n × T 10−2n for n = 2, 3, 5. For the massive modes the result agrees with the exact dispersion relation derived from symmetry considerations with no correction to the interpolating function h. For the massless modes in AdS 3 × S 3 × T 4 however our result does not match what one expects from the corresponding symmetry based analysis. We also derive the S-matrix for massless modes up to the one-loop order. The scattering phase is given by the massless limit of the Hernández-López phase. In addition we compute a certain massless S-matrix element at two loops and show that it vanishes suggesting that the two-loop phase in the massless sector is zero.

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Section: Massive Modesmentioning

confidence: 99%

The AdS n × S n × T 10−2n BMN string at two loops

Sundin

Wulff

2015

J. High Energ. Phys.

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“…The algebra (3.2) is a subalgebra of the familiar psu(2|2) ⋉ R 3 which was a factor symmetry in the corresponding construction of the S-matrix of the AdS 5 × S 5 superstring theory [9,10].…”

Section: S-matrix In the Bmn Limitmentioning

confidence: 99%

“…In particular, the q = 1 case appears to be very special. 10 Here i stands for a chemical potential term leading to a gap in the energy to match (4.13).…”

Section: Lattice Origin Of the Dispersion Relationmentioning

confidence: 99%

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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“…In recent years a lot of progress has been achieved in the spectral problem of the gaugestring correspondence by using ideas and methods from the theory of integrable models [1,2]. For strings on AdS 5 × S 5 the corresponding light-cone sigma model is quantum integrable which allows one to obtain its spectrum by means of Thermodynamic Bethe…”

Section: Introductionmentioning

confidence: 99%

Resurgence of the dressing phase for AdS5 × S5

Arutyunov

Dorigoni

Savin

2017

J. High Energ. Phys.

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Abstract:We discuss the resummation of the strong coupling asymptotic expansion of the dressing phase of the AdS 5 × S 5 superstring. The dressing phase proposed by Beisert, Eden and Staudacher can be recovered from a modified Borel-Ecalle resummation of this asymptotic expansion only by completing it with new, non-perturbative and exponentially suppressed terms that can be organized into different sectors labelled by an instanton-like number. We compute the contribution to the dressing phase coming from the sum over all the instanton sectors and show that it satisfies the homogeneous crossing symmetry equation. We comment on the semiclassical origin of the non-perturbative terms from the world-sheet theory point of view even though their precise explanation remains still quite mysterious.

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Foundations of the AdS₅× S⁵superstring: I

Cited by 379 publications

References 157 publications

The AdS n × S n × T 10−2n BMN string at two loops

The AdS n × S n × T 10−2n BMN string at two loops

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

Resurgence of the dressing phase for AdS5 × S5

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Foundations of the AdS5× S5superstring: I

Cited by 379 publications

References 157 publications

The AdS n × S n × T 10−2n BMN string at two loops

The AdS n × S n × T 10−2n BMN string at two loops

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

Resurgence of the dressing phase for AdS5 × S5

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Foundations of the AdS₅× S⁵superstring: I