Elliptic deformations of the $\mathsf{AdS}_3 \times \mathsf{S}^3 \times \mathsf{T}^4$ string - INSPIRE

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Elliptic deformations of the $\mathsf{AdS}_3 \times \mathsf{S}^3 \times \mathsf{T}^4$ string

Dec 21, 2023

28 pages

Published in:

JHEP 04 (2024) 042

Published: Apr 9, 2024

e-Print:

2312.14031 [hep-th]

DOI:

10.1007/JHEP04(2024)042

Report number:

Imperial-TP-FS-2023-02

View in:

ADS Abstract Service

reference search13 citations

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Abstract: (Springer)

With the aim of investigating the existence of an integrable elliptic deformation of strings on AdS

_{3}

× S

^{3}

× T

^{4}

, we compute the tree-level worldsheet S-matrix of the elliptically-deformed bosonic sigma model on AdS

_{3}

× S

^{3}

in uniform light-cone gauge. The resulting tree-level S-matrix is compatible with the integrability of the model and has interesting features, including a hidden U(1) symmetry not manifest in the Lagrangian. We find that it cannot be embedded in the known exact integrable R-matrices describing deformations of the undeformed AdS

_{3}

× S

^{3}

× T

^{4}

light-cone gauge S-matrix including fermions. Therefore, we construct embeddings of the deformed 6-d metric in type II supergravity with constant dilaton and homogeneous fluxes. The simplicity of these solutions suggests they are promising candidates to lead to an integrable string sigma model including fermions.

Note:

28 pages; v2 minor comments added, matches published version

Bosonic Strings
Integrable Field Theories
Sigma Models
Superstring Vacua
model: integrability
anti-de Sitter
deformation
string
S-matrix
light cone gauge

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