We consider a previously constructed class of massive Type IIA AdS2 × S7 × I solutions with OSp(8|2) symmetry, as well as OSp(6|2)-symmetric ones, by replacing the S7 with the orbifold S7/ℤk. In both cases we construct global solutions for which the interval I is bounded between physical singularities, by allowing D8-branes transverse to I. We also generate a new class of Type IIB AdS2 × ℂℙ3 × S1 × I solutions by T-duality and establish a chain of dualities that maps the massless limit of these classes to <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27146_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="125" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi>AdS</mi> <mn>4</mn> </msub> <mo>/</mo> <msub> <mi>ℤ</mi> <msup> <mi>k</mi> <mo>′</mo> </msup> </msub> <mo>×</mo> <mi mathvariant="normal">S</mi> <mo>/</mo> <msub> <mi>ℤ</mi> <mi>k</mi> </msub> </math></EquationSource> <EquationSource Format="TEX">$ {\textrm{AdS}}_4/{\mathbb{Z}}_{k^{\prime }}\times \textrm{S}/{\mathbb{Z}}_k $</EquationSource> </InlineEquation>, thus identifying the brane configurations yielding these solutions. We propose that the <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27146_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="48" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>8</mn> </math></EquationSource> <EquationSource Format="TEX">$ \mathcal{N}=8 $</EquationSource> </InlineEquation> solutions are dual to a theory living on a D0-F1-D8 brane intersection which has a description in terms of disconnected quivers and similarly for the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27146_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="48" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>6</mn> </math></EquationSource> <EquationSource Format="TEX">$ \mathcal{N}=6 $</EquationSource> </InlineEquation> solutions.

On AdS₂ × S⁷, its ℤ_k orbifold and their dual quantum mechanics

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2025年9月8日

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Yolanda Lozano,
Niall T. Macpherson,
Achilleas Passias

摘要

We consider a previously constructed class of massive Type IIA AdS₂ × S⁷ × I solutions with OSp(8|2) symmetry, as well as OSp(6|2)-symmetric ones, by replacing the S⁷ with the orbifold S⁷/ℤ_k. In both cases we construct global solutions for which the interval I is bounded between physical singularities, by allowing D8-branes transverse to I. We also generate a new class of Type IIB AdS₂ × ℂℙ³ × S¹ × I solutions by T-duality and establish a chain of dualities that maps the massless limit of these classes to ${AdS}_{4} / ℤ_{k^{'}} \times S / ℤ_{k}$ $ {\textrm{AdS}}_4/{\mathbb{Z}}_{k^{\prime }}\times \textrm{S}/{\mathbb{Z}}_k $ , thus identifying the brane configurations yielding these solutions. We propose that the $N = 8$ $ \mathcal{N}=8 $ solutions are dual to a theory living on a D0-F1-D8 brane intersection which has a description in terms of disconnected quivers and similarly for the $N = 6$ $ \mathcal{N}=6 $ solutions.

On AdS2 × S7, its ℤk orbifold and their dual quantum mechanics

摘要

On AdS₂ × S⁷, its ℤ_k orbifold and their dual quantum mechanics