论文标题
新广告$ _3 $/cft $ _2 $与$(0,4)$和$(4,4)$ supersymmerties的大规模IIA对
New AdS$_3$/CFT$_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries
论文作者
论文摘要
我们构建了一个新类的$ \ text {ads} _3 \ times $ s $^3 \ times $ m $ _4 $大型类型IIA SuperGravity的解决方案,$(0,4)$ supersymmetries and SU(3)结构。我们详细研究了这些解决方案的两个子类。第一个子类是当m $ _4 = $ s $^2 \ timesσ_2$,带有$σ_2$ a 2d riemann Surface时,几何形状是在$σ_2$上散落的。我们将这些解决方案解释为二元组,以在6d $(1,0)$ cfts dual的$ \ text {ads} _7 \ times $ s $ s $^2 \ times i $解决方案IIA Supergravity的解决方案中。第二个子类是当m $ _4 = \ mathbb {t}^3 \ times i $,几何形状在间隔上散落。在这种情况下,无质量限制的超对称性提高到$(4,4)$,并且解决方案在$(4,4)$ CFTS上是双重双重的,居住在二维D2-NS5-D4 Hanany-witter Brane Brane设置中。反过来,在大规模的情况下,解决方案将解释为嵌入I型字符串理论中的D2-D4 Branes。我们构建了从IR中流到2D双CFT的不同BRANE设置的显式箭量规定。我们通过现场理论和全息中心电荷之间的匹配来检查提案的有效性。
We construct a new class of $\text{AdS}_3\times $S$^3\times $M$_4$ solutions of massive Type IIA supergravity with $(0,4)$ supersymmetries and SU(3) structure. We study in detail two subclasses of these solutions. The first subclass is when M$_4=$S$^2\times Σ_2$, with $Σ_2$ a 2d Riemann surface, and the geometry is foliated over the $Σ_2$. We interpret these solutions as duals to surface defect CFTs within the 6d $(1,0)$ CFTs dual to the $\text{AdS}_7\times$S$^2\times I$ solutions of massive IIA supergravity. The second subclass is when M$_4=\mathbb{T}^3\times I$ and the geometry is foliated over the interval. In this case supersymmetry is enhanced to $(4,4)$ in the massless limit, and the solutions are holographically dual to $(4,4)$ CFTs living in two dimensional D2-NS5-D4 Hanany-Witten brane set-ups. In turn, in the massive case the solutions find an interpretation as D2-D4 branes embedded in Type I' string theory. We construct explicit quiver gauge theories from the different brane set-ups that flow in the IR to the 2d dual CFTs dual to the solutions. We check the validity of our proposals with the matching between the field theory and holographic central charges.