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<p>We construct solutions of type-II supergravity based on multiple copies and/or mixings of <i>λ</i>-deformed coset CFTs on <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mfrac> <mrow> <mi>SO</mi> <msub> <mfenced close=")" open="("> <mrow> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </mfenced> <mi>k</mi> </msub> </mrow> <mrow> <mi>SO</mi> <msub> <mfenced close=")" open="("> <mi>n</mi> </mfenced> <mi>k</mi> </msub> </mrow> </mfrac> </math></EquationSource> <EquationSource Format="TEX">\( \frac{\textrm{SO}{\left(n+1\right)}_k}{\textrm{SO}{(n)}_k} \)</EquationSource> </InlineEquation>, with <i>n</i> = 2, 3, 4. The resulting ten-dimensional geometries contain undeformed AdS factors, thereby allowing a connection between <i>λ</i>-deformations and the AdS/CFT correspondence. Imposing reality conditions on the solutions further constrains the deformation parameter. In some cases these bounds exclude the undeformed (<i>λ</i> = 0) or non-Abelian T-dual (<i>λ</i> → 1) limits. This work extends the results of arXiv:1911.12371 and arXiv:2411.11086.</p>

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Supergravity realisations of λ-models

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  • 发表日期：

    2026年5月14日

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  • Giuseppe Casale,
  • Georgios Itsios

摘要

We construct solutions of type-II supergravity based on multiple copies and/or mixings of λ-deformed coset CFTs on SO n + 1 k SO n k \( \frac{\textrm{SO}{\left(n+1\right)}_k}{\textrm{SO}{(n)}_k} \) , with n = 2, 3, 4. The resulting ten-dimensional geometries contain undeformed AdS factors, thereby allowing a connection between λ-deformations and the AdS/CFT correspondence. Imposing reality conditions on the solutions further constrains the deformation parameter. In some cases these bounds exclude the undeformed (λ = 0) or non-Abelian T-dual (λ → 1) limits. This work extends the results of arXiv:1911.12371 and arXiv:2411.11086.