We construct a family of supersymmetric solutions in Type IIB supergravity of the form WAdS3 × WS3 × T4, where WAdS3 and WS3 denote a warped anti-de Sitter spacetime and a warped 3-sphere, respectively, while T4 denotes an internal 4-torus. These backgrounds are constructed by uplifting corresponding solutions in the D = 6, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26872_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">$ \mathcal{N} $</EquationSource> </InlineEquation> = (1, 1) ungauged supergravity resulting from the compactification of Type IIB supergravity on a T4/ℤ2-orientifold. More specifically, the supersymmetric solutions are WAdS3 × WS3 × T4 with lightlike warped AdS3 and WAdS3 × S3 × T4 in which the warping of AdS3 is generic. Moreover, we also construct solutions in the form of a warped product <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26872_Article_IEq2.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>LM</mi> <mrow> <mi>ζ</mi> <mo>,</mo> <mi>ω</mi> </mrow> <mn>3</mn> </msubsup> </math></EquationSource> <EquationSource Format="TEX">$ {\textrm{LM}}_{\zeta, \omega}^3 $</EquationSource> </InlineEquation> ×w S3 × T4 of a 2-parameter deformation <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26872_Article_IEq2.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>LM</mi> <mrow> <mi>ζ</mi> <mo>,</mo> <mi>ω</mi> </mrow> <mn>3</mn> </msubsup> </math></EquationSource> <EquationSource Format="TEX">$ {\textrm{LM}}_{\zeta, \omega}^3 $</EquationSource> </InlineEquation> of AdS3 and a three-sphere. We discuss the relation of these backgrounds to known solutions.

Supersymmetric warped solutions from Type IIB orientifold reduction

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2025年8月1日

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S. Maurelli,
R. Noris,
M. Oyarzo,
H. Samtleben,
M. Trigiante

摘要

We construct a family of supersymmetric solutions in Type IIB supergravity of the form WAdS₃ × WS³ × T⁴, where WAdS₃ and WS³ denote a warped anti-de Sitter spacetime and a warped 3-sphere, respectively, while T⁴ denotes an internal 4-torus. These backgrounds are constructed by uplifting corresponding solutions in the D = 6, $N$ $ \mathcal{N} $ = (1, 1) ungauged supergravity resulting from the compactification of Type IIB supergravity on a T⁴/ℤ₂-orientifold. More specifically, the supersymmetric solutions are WAdS₃ × WS³ × T⁴ with lightlike warped AdS₃ and WAdS₃ × S³ × T⁴ in which the warping of AdS₃ is generic. Moreover, we also construct solutions in the form of a warped product ${LM}_{ζ, ω}^{3}$ $ {\textrm{LM}}_{\zeta, \omega}^3 $ ×_w S³ × T⁴ of a 2-parameter deformation ${LM}_{ζ, ω}^{3}$ $ {\textrm{LM}}_{\zeta, \omega}^3 $ of AdS₃ and a three-sphere. We discuss the relation of these backgrounds to known solutions.