论文标题

ABJM的立方变形:挤压,伸展,扭曲和干扰被入侵

A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded

论文作者

Cesaro, Mattia, Larios, Gabriel, Varela, Oscar

论文摘要

在ABJM手性超级场之一中立方体的超电势变形使后一种理论流入了一个新的,$ {\ cal n} = 2 $ supersongundormon -grom -grom -grounder阶段。这在扭曲的$ \ textrm {ads} _4 \ times_w s^7 $的M理论解决方案上是全息二的,配备了$ s^7 $的挤压和拉伸度量。我们通过计算双ADS $ _4 $解决方案上的Kaluza-Klein(KK)Gravitons的频谱来确定低能量下立方变形的Spin-2算子的光谱。我们从数值上计算完整的重力谱,并在分析上计算出属于短多重的重力谱。我们还使用小组理论来评估完整的KK频谱的结构,并得出结论,$ {\ cal n} = 2 $ supermultiplet不能按KK级别分配KK级别。这种现象通常称为“太空入侵者场景”,也众所周知,基于另一个基于其他压缩的$ s^7 $的$ \ textrm {ads} _4 $解决方案发生。

A superpotential deformation that is cubic in one of the chiral superfields of ABJM makes the latter theory flow into a new, ${\cal N}=2$ superconformal phase. This is holographically dual to a warped $\textrm{AdS}_4 \times_w S^7$ solution of M-theory equipped with a squashed and stretched metric on $S^7$. We determine the spectrum of spin-2 operators of the cubic deformation at low energies by computing the spectrum of Kaluza-Klein (KK) gravitons over the dual AdS$_4$ solution. We calculate, numerically, the complete graviton spectrum and, analytically, the spectrum of gravitons that belong to short multiplets. We also use group theory to assess the structure of the full KK spectrum, and conclude that ${\cal N}=2$ supermultiplets cannot be allocated KK level by KK level. This phenomenon, usually referred to as "space invaders scenario", is also known to occur for another $\textrm{AdS}_4$ solution based on a different squashed $S^7$.

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