论文标题
2d $ \ Mathcal {n} =(0,4)$量子字段理论的全息图
Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory
论文作者
论文摘要
我们研究ADS $ _3 $ Massive IIA Supergravity Vacua和二维$ \ Mathcal {n} =(0,4)$ Quiver Quantum Field Theories之间的对应关系。在对各种重力解决方案进行了分类之后,我们揭开了似乎反映异常量表理论的神秘化。特别是,我们证明了空间边界上的d-branes的结合状态,这些状态提供了双颤动理论,其风味对称性完全正确,以取消其规格异常。然后,我们提出,应该与其他双叉义物质相辅相成,我们认为这可能仅为$ \ Mathcal {n} =(4,4)$ hypermultiplets。最后,我们构建了BPS字符串配置,并使用新旧的超对称物质来构建其双紫外线操作员。在此全息合成过程中,我们发现了箭量超电势的一些有趣特征,并将提议的操作员与其双BPS字符串的经典质量相关联。
We study the correspondence between AdS$_3$ massive IIA supergravity vacua and two-dimensional $\mathcal{N}=(0,4)$ quiver quantum field theories. After categorizing all kinds of gravity solutions, we demystify the ones that seem to reflect anomalous gauge theories. In particular, we prove that there are bound states of D-branes on the boundary of the space which provide the dual quiver theory with exactly the correct amount of flavor symmetry in order to cancel its gauge anomalies. Then we propose that the structure of the field theory should be complemented with additional bifundamental matter, which we argue may only be $\mathcal{N}=(4,4)$ hypermultiplets. Finally, we construct a BPS string configuration and we use the old and new supersymmetric matter to build its dual ultraviolet operator. During this holographic synthesis, we uncover some interesting features of the quiver superpotential and associate the proposed operator with the same classical mass of its dual BPS string.