# Bethe Ansatz for Quantum-Deformed Strings

@inproceedings{Seibold2021BetheAF, title={Bethe Ansatz for Quantum-Deformed Strings}, author={Fiona K. Seibold and Alessandro Sfondrini}, year={2021} }

Two distinct η-deformations of strings on AdS5×S 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… Expand

#### References

SHOWING 1-10 OF 60 REFERENCES

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

- Physics
- Journal of High Energy Physics
- 2021

Abstract
We consider various integrable two-parameter deformations of the AdS3 × S3 × T4 superstring with quantum group symmetry. Working on the string worldsheet in light-cone gauge and to… Expand

Puzzles of η-deformed AdS5 × S5

- Physics, Mathematics
- 2015

A bstractWe derive the part of the Lagrangian for the sigma model on the η-deformed AdS5 × S5 space which is quadratic in fermions and has the full dependence on bosons. We then show that there… Expand

Long-range psu(2,2|4) Bethe Ansatze for gauge theory and strings

- Physics
- 2005

We generalize various existing higher-loop Bethe ansatze for simple sec- tors of the integrable long-range dynamic spin chain describing planar N = 4 Super Yang-Mills Theory to the full psu(2,2|4)… Expand

The exact spectrum and mirror duality of the (AdS5 × S5)η superstring

- Mathematics, Physics
- 2014

We discuss the spectrum of a string propagating on η-deformed AdS5 × S5 by treating its worldsheet theory as an integrable quantum field theory. The exact S-matrix of this field theory is given by a… Expand

The Bethe-ansatz for N = 4 super Yang-Mills

- Physics
- 2002

We derive the one loop mixing matrix for anomalous dimensions in N=4 Super Yang-Mills. We show that this matrix can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector… Expand

Quantum Deformations of the One-Dimensional Hubbard Model

- Physics, Mathematics
- 2008

The centrally extended superalgebra psu(2|2) �R 3 was shown to play an important role for the integrable structures of the one-dimensional Hubbard model and of the planar AdS/CFT correspondence. Here… Expand

The off-shell symmetry algebra of the light-cone AdS5x S5 superstring

- Mathematics, Physics
- 2007

We analyze the psu(2,2|4) supersymmetry algebra of a superstring prop- agating in the AdS5 × S 5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the… Expand

Scale invariance of the η-deformed AdS5 × S5 superstring, T-duality and modified type II equations

- Physics
- 2016

Abstract We consider the ABF background underlying the η -deformed AdS 5 × S 5 sigma model. This background fails to satisfy the standard IIB supergravity equations which indicates that the… Expand

The Bethe ansatz approach for factorizable centrally extended S-matrices

- Physics
- 2007

We consider the Bethe ansatz solution of integrable models interacting through factorized S-matrices based on the central extension of the su(2|2) symmetry. The respective su(2|2) R-matrix is… Expand

Towards integrability for AdS3/CFT2

- Physics
- 2014

In this thesis we consider certain supersymmetric string theories on curved backgrounds containing the three-dimensional anti-de Sitter space, AdS3. On the one hand, these are gravity theories in… Expand