论文标题
$ m $ - 串和广告$ _3 $解决方案对M理论的解决方案,使用小$ \ Mathcal {n} =(0,4)$ superSymmemeTry
$M$-strings and AdS$_3$ solutions to M-theory with small $\mathcal{N}=(0,4)$ supersymmetry
论文作者
论文摘要
我们构建了(小)$ \ MATHCAL {n} =(0,4)$的一般类别,$ supercongoral Solutions在形式ADS $ _3 \ times S^3/\ Mathbb {z} _k \ times \ times \ times \ text {cy} _2 _2 _2 _2 $的情况下。这些溶液描述了M5-Brane交叉点中的M串。 $ M $ - 串支持$(0,4)$ QUIVER CFTS,与我们的背景相符。我们计算中央费用,并表明它与$ m $串线的总数线性扩展。我们引入了动量电荷,从而允许根据M(Atrix)理论进行描述。将IIA型简化后,我们找到了一个新的解决方案,其中有四个poincaré形式的ADS $ _2 \ times S^3 \ times \ times \ text {cy} _2 \ times \ times \ times \ mathcal {i} $,我们扩展到了大规模的IIA案例。我们将构造概括为使用(0,4)超对称性和SU(2)结构为M理论提供完整的AD $ _3 $解决方案。我们还构建了新的$ ads_2 \ times s^3 \ times \ text {m} _4 \ times \ times \ mathcal {i} $ solutions to Massive IIA,带有m $ _4 $ a4dKähler歧管和四个poincaré超支。
We construct a general class of (small) $\mathcal{N}=(0,4)$ superconformal solutions in M-theory of the form AdS$_3\times S^3/\mathbb{Z}_k\times \text{CY}_2$, foliated over an interval. These solutions describe M-strings in M5-brane intersections. The $M$-strings support $(0,4)$ quiver CFTs that are in correspondence with our backgrounds. We compute the central charge and show that it scales linearly with the total number of $M$-strings. We introduce momentum charge, thus allowing for a description in terms of M(atrix) theory. Upon reduction to Type IIA, we find a new class of solutions with four Poincaré supercharges of the form AdS$_2\times S^3\times \text{CY}_2\times \mathcal{I}$, that we extend to the massive IIA case. We generalise our constructions to provide a complete class of AdS$_3$ solutions to M-theory with (0,4) supersymmetry and SU(2) structure. We also construct new $AdS_2\times S^3\times \text{M}_4\times \mathcal{I}$ solutions to massive IIA, with M$_4$ a 4d Kähler manifold and four Poincaré supercharges.