Quantum corrections to spinning superstrings in AdS3 × S3 × M 4: determining the dressing phase

Beccaria, Matteo; Levkovich-Maslyuk, Fedor; Macorini, Guido; Tseytlin, Arkady A.

doi:10.1007/jhep04(2013)006

Cited by 72 publications

(208 citation statements)

References 59 publications

(165 reference statements)

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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: 98%

“…Once again, this is largely due to the symmetry algebra being the same for any value of q. 20 The same should apply to the construction of the corresponding Y-system and TBA equations. 19 There is an interesting open question about the possible relation between this exact S-matrix appearing in the q → 1 limit for scattering of "solitonic" states with the dispersion relation (4.3) and the massless S-matrices for scattering of elementary excitations in the k = 1 [30] and k > 1 [31] SU (2) WZW model.…”

Section: Discussionmentioning

confidence: 99%

“…19 There is an interesting open question about the possible relation between this exact S-matrix appearing in the q → 1 limit for scattering of "solitonic" states with the dispersion relation (4.3) and the massless S-matrices for scattering of elementary excitations in the k = 1 [30] and k > 1 [31] SU (2) WZW model. 20 In this sense, the case of AdS 3 × S 3 × S 3 × S 1 theory appears to be a more complicated 1-parameter generalization as there the symmetry algebra depends on the deformation parameter α [11,12].…”

Section: Discussionmentioning

confidence: 99%

“…theory -the AdS 3 × S 3 × S 3 × S 1 theory [19,20]. It would be important to investigate this by a direct 1-loop superstring computation for q = 0.…”

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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Section: Discussionmentioning

confidence: 98%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

“…theory -the AdS 3 × S 3 × S 3 × S 1 theory [19,20]. It would be important to investigate this by a direct 1-loop superstring computation for q = 0.…”

Section: General Structure and Limitsmentioning

confidence: 99%

See 2 more Smart Citations

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

Hoare¹,

Tseytlin²

2013

Nuclear Physics B

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“…For the massive sector of AdS 3 ×S 3 ×T 4 the one-loop phases were determined in [40][41][42]. There are two distinct phases, labeled with respect to the underlying symmetry groups as LL and LR (or equivalently RR and RL).…”

Section: Comparing To S-matrix Derived From Symmetries: Extracting Thmentioning

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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Matching one‐loop divergences in 7D Einstein and 6D Conformal Gravities

2019

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Within the context of AdS/CFT correspondence, we first compute the one-loop infrared (IR) divergences of 7D Einstein gravity in a certain Poincaré-Einstein background metric. Then, we compute the one-loop ultraviolet (UV) divergences of 6D conformal gravity on the conformal boundary. We verify the equality of the above results that stem from the IR-UV connection of the duality dictionary. Key ingredients are heat kernel techniques, factorization of the boundary higher-derivative kinetic operator for the Weyl graviton on the 6D Einstein metric, and Wentzel-Kramers-Brillouin (WKB) exactness of the Einstein graviton in the chosen 7D Poincaré-Einstein background. Overall, we elucidate the way in which the 6D results containing the type-A and type-B conformal anomalies for the Weyl graviton are encoded in the 7D "hologram" given by the fluctuation determinant for the Einstein graviton. We finally discuss possible extensions to include higher-spin fields.

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Quantum corrections to spinning superstrings in AdS3 × S3 × M 4: determining the dressing phase

Cited by 72 publications

References 59 publications

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

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

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

Matching one‐loop divergences in 7D Einstein and 6D Conformal Gravities

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