Journal Article

PUBDB-2025-01027

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Interpolating families of integrable AdS3 backgrounds

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

2025
IOP Publishing Bristol

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Please use a persistent id in citations: doi:10.1088/1751-8121/addb96  doi:10.3204/PUBDB-2025-01027

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.

Keyword(s): integrable deformations ; AdS3 strings ; AdS/CFT correspondence

Note: ISSN 1751-8121 not unique: **3 hits**.27 pages, v3: added references

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen, Modulräume und Integrabilität (506632645) (506632645)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Seibold, F. K. (Corresponding author)DESY* ; Sfondrini, A.
Interpolating families of integrable AdS$_3$ backgrounds
[10.3204/PUBDB-2025-00911]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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