Interpolating families of integrable AdS$_3$ backgrounds

Seibold, Fiona K.; Sfondrini, Alessandro

Preprint

PUBDB-2025-00911

Interpolating families of integrable AdS$_3$ backgrounds

Seibold, F. K. (Corresponding author)DESY* ; Sfondrini, A.

2025

[10.3204/PUBDB-2025-00911]

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Report No.: DESY-25-036; arXiv:2502.07103

Abstract: We construct families of integrable deformations that interpolate between $AdS_3\times S^3\times S^3\times S^1$ and either $AdS_3\times S^3\times S^2\times T^2$ or $AdS_3\times S^2\times S^2\times T^3$. They preserve half of the supersymmetry of the original background, namely one copy of the $\mathfrak{d}(2,1;\alpha)$ algebra. From this it follows a similar integrable interpolation between $AdS_3\times S^3\times T^4$ and $AdS_3\times S^2\times T^5$, which also preserves half of the supersymmetry, namely a copy of the $\mathfrak{psu}(1,1|2)$ 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.

Note: 27 pages, v2

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