On quantum deformations of AdS3 × S3 × T4 and mirror duality

Seibold, Fiona K.; Tongeren, Stijn J. van; Zimmermann, Yannik

doi:10.1007/jhep09(2021)110

Cited by 11 publications

(14 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It would be interesting to find also the fermionic sectors of this κ-dependent S-matrix and check its consistency with integrability of the model, similarly to what was done for the Drinfel'd-Jimbo deformation without WZ term [75]. 37 S here stands for the tree-level T-matrix and we omit an overall factor proportional to the effective coupling (inverse string tension).…”

Section: A Details On Supersymmetrymentioning

confidence: 99%

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

Hoare¹,

Seibold²,

Tseytlin³

2022

Preprint

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: A Details On Supersymmetrymentioning

confidence: 99%

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

Hoare¹,

Seibold²,

Tseytlin³

2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is worth writing explicitly the S matrix resulting from the twist so that we may highlight the differences with the Beisert-Koroteev one (see also [45]). We indicate in red the terms…”

Section: Explicit Form Of the S Matrixmentioning

confidence: 99%

“…This is perhaps not entirely surprising in view of what happens for lower-dimensional AdS/CFT setups. Namely, for AdS 3 × S 3 × T 4 [43], there is only one deformed S matrix to begin with, due to the minimal rank of the symmetry algebra [44,45].…”

Section: Introduction and Conclusionmentioning

confidence: 99%

Bethe ansatz for quantum-deformed strings

Seibold

Sfondrini

2021

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

Two distinct η-deformations of strings on AdS5×S5 can be defined; both amount to integrable quantum deformations of the string non-linear sigma model, but only one is itself a superstring background. In this paper we compare their conjectured all-loop worldsheet S matrices and derive the corresponding Bethe equations. We find that, while the S matrices are apparently different, they lead to the same Bethe equations. Moreover, in either case the eigenvalues of the transfer matrix, which encode the conserved charges of each system, also coincide. We conclude that the integrable structure underlying the two constructions is essentially the same. Finally, we write down the full Bethe-Yang equations describing the asymptotic spectrum of the superstring background.

show abstract

“…It is worth writing explicitly the S matrix resulting from the twist so that we may highlight the differences with the Beisert-Koroteev one (see also [45]). We indicate in red the terms due to the twist.…”

Section: Explicit Form Of the S Matrixmentioning

confidence: 99%

Bethe Ansatz for Quantum-Deformed Strings

Seibold,

Sfondrini

2021

Preprint

Self Cite

View full text Add to dashboard Cite

Two distinct η-deformations of strings on AdS 5 ×S 5 can be defined; both amount to integrable quantum deformations of the string non-linear sigma model, but only one is itself a superstring background. In this paper we compare their conjectured all-loop worldsheet S matrices and derive the corresponding Bethe equations. We find that, while the S matrices are apparently different, they lead to the same Bethe equations. Moreover, in either case the eigenvalues of the transfer matrix, which encode the conserved charges of each system, also coincide. We conclude that the integrable structure underlying the two constructions is essentially the same. Finally, we write down the full Bethe-Yang equations describing the asymptotic spectrum of the superstring background.

show abstract

On quantum deformations of AdS3 × S3 × T4 and mirror duality

Cited by 11 publications

References 45 publications

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

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

Bethe ansatz for quantum-deformed strings

Bethe Ansatz for Quantum-Deformed Strings

Contact Info

Product

Resources

About