Integrable deformations of AdS/CFT

Leeuw, Marius de; Pribytok, Anton; Retore, Ana L.; Ryan, Paul

doi:10.1007/jhep05(2022)012

Cited by 10 publications

(19 citation statements)

References 50 publications

(102 reference statements)

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“…It is worth to mention that a parallel research is also started on the topic of long range spin chains [46].…”

Section: Discussionmentioning

confidence: 99%

Wrapping corrections for long range spin chains

Gombor¹

2022

Preprint

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The long range spin chains play an important role in the gauge/string duality. The aim of this paper is to generalize the recently introduced transfer matrices of integrable medium range spin chains to long range models. These transfer matrices define a large set of conserved charges for every length of the spin chain. These charges agree with the original definition of long range spin chains for infinite length. However, our construction works for every length, providing the definition of integrable finite size long range spin chains whose spectrum already contains the wrapping corrections.

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“…It is worth to mention that a parallel research is also started on the topic of long range spin chains [46].…”

Section: Discussionmentioning

confidence: 99%

Wrapping corrections for long range spin chains

Gombor¹

2022

Preprint

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“…In the κ = 1 limit, we recover the AdS 2 × S 2 × T 6 background with 8 supersymmetries, which for a particular choice of parameters corresponds to the near-horizon limit of the 1 4 -supersymmetric intersection of four D3-branes. It would be interesting to explore if there is any link with the 8-vertex R-matrix of [76] that interpolates between the building blocks of the exact AdS 3 and AdS 2 S-matrices, describing the scattering of string excitations above the BMN vacuum.…”

Section: Discussionmentioning

confidence: 99%

Integrable supersymmetric deformations of $\rm AdS_3 \times S^3 \times T^4$

Hoare¹,

Seibold²,

Tseytlin³

2022

Preprint

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We construct a family of type IIB string backgrounds that are deformations of AdS 3 × S 3 × T 4 with a "squashed" AdS 3 × S 3 metric supported by a combination of NSNS and RR fluxes. They have global SU(1, 1) × SU(2) symmetry, regular curvature, constant dilaton and preserve 8 supercharges. Upon compactification to 4 dimensions they reduce to N = 2 supersymmetric AdS 2 × S 2 solutions with electric and magnetic Maxwell fluxes. These type IIB supergravity solutions can be found from the undeformed AdS 3 ×S 3 ×T 4 background by a combination of T-dualities and S-duality. In contrast to T-duality, S-duality transformations of a type IIB supergravity background do not generally preserve the classical integrability of the corresponding Green-Schwarz superstring sigma model. Nevertheless, we show that integrability is preserved in the present case. Indeed, we find that these backgrounds can be obtained, up to T-dualities, from an integrable inhomogeneous Yang-Baxter deformation (with unimodular Drinfel'd-Jimbo R-matrix) of the original AdS 3 × S 3 supercoset model.

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“…In the κ = 1 limit, we recover the AdS 2 × S 2 × T 6 background with 8 supersymmetries, which for a particular choice of parameters corresponds to the near-horizon limit of the 1 4 -supersymmetric intersection of four D3-branes. It would be interesting to explore if there is any link with the 8-vertex R-matrix of [99] that interpolates between the building blocks of the exact AdS 3 and AdS 2 S-matrices, describing the scattering of string excitations above the BMN vacuum.…”

Section: Jhep09(2022)018mentioning

confidence: 99%

Integrable supersymmetric deformations of AdS3 × S3 × T4

Hoare

Seibold

Tseytlin

2022

J. High Energ. Phys.

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We construct a family of type IIB string backgrounds that are deformations of AdS3× S3× T4 with a “squashed” AdS3× S3 metric supported by a combination of NSNS and RR fluxes. They have global SU(1, 1) × SU(2) symmetry, regular curvature, constant dilaton and preserve 8 supercharges. Upon compactification to 4 dimensions they reduce to $$ \mathcal{N} $$ N = 2 supersymmetric AdS2× S2 solutions with electric and magnetic Maxwell fluxes. These type IIB supergravity solutions can be found from the undeformed AdS3× S3× T4 background by a combination of T-dualities and S-duality. In contrast to T-duality, S-duality transformations of a type IIB supergravity background do not generally preserve the classical integrability of the corresponding Green-Schwarz superstring sigma model. Nevertheless, we show that integrability is preserved in the present case. Indeed, we find that these backgrounds can be obtained, up to T-dualities, from an integrable inhomogeneous Yang-Baxter deformation (with unimodular Drinfel’d-Jimbo R-matrix) of the original AdS3× S3 supercoset model.

show abstract

Integrable deformations of AdS/CFT

Cited by 10 publications

References 50 publications

Wrapping corrections for long range spin chains

Wrapping corrections for long range spin chains

Integrable supersymmetric deformations of $\rm AdS_3 \times S^3 \times T^4$

Integrable supersymmetric deformations of AdS3 × S3 × T4

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