TY  - EJOUR
AU  - Seibold, Fiona K.
AU  - Sfondrini, Alessandro
TI  - Interpolating families of integrable AdS<sub>3</sub> backgrounds
IS  - DESY-25-036
M1  - PUBDB-2025-00911
M1  - DESY-25-036
M1  - arXiv:2502.07103
PY  - 2025
N1  - 27 pages, v2
AB  - We construct families of integrable deformations that interpolate between AdS<sub>3</sub>×S<sup>3</sup>×S<sup>3</sup>×S<sup>1</sup> and either AdS<sub>3</sub>×S<sup>3</sup>×S<sup>2</sup>×T<sup>2</sup> or AdS<sub>3</sub>×S<sup>2</sup>×S<sup>2</sup>×T<sup>3</sup>. They preserve half of the supersymmetry of the original background, namely one copy of the \mathfrakd(2,1;α) algebra. From this it follows a similar integrable interpolation between AdS<sub>3</sub>×S<sup>3</sup>×T<sup>4</sup> and AdS<sub>3</sub>×S<sup>2</sup>×T<sup>5</sup>, which also preserves half of the supersymmetry, namely a copy of the \mathfrakpsu(1,1|2) algebra. In all cases, the interpolating backgrounds are constructed by using TsT transformations, which makes it easy to implement them in the integrability formalism in the full quantum theory. To illustrate this point, we discuss the lightcone gauge fixing of the models and compute their pp-wave Hamiltonian.
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2025-00911
UR  - https://bib-pubdb1.desy.de/record/624706
ER  -