Null M5 brane symmetries.

M5 膜对称性为零。

• 批准号: 2124712
• 金额: --
• 依托单位: King's College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2018
• 资助国家: 英国
• 起止时间: 2018 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2124712
• 关键词: Null; M5; brane; symmetries.

In my research I study a null reduction of (2,0) theory, giving rise the world volume theory of coincident null M5 branes. These theories are of particular interest as, although they break 6d Lorentz symmetry, we are able to write down actions that reproduce the equations of motion and are invariant under 3/4ths of the super symmetry. Precisely we showed that the superconformal symmetry group is broken by this reduction from Osp(8*|4) to a non-standard realisation of Osp(6|4). The remarkable ccoincidence is that this is the exact same symmetry breaking that was observed in the original formulation of ABJM, just that in the even part of Osp(8*|4), the rolls of R-symmetry and spacetime symmetry are reversed. What is even more remarkable, is that one can use u(1) opperators in both cases to complete the spectrum of the theories to their non-broken forms, in ABJM this is carried out by monopole operators in the 6d theory by instanton operators. These similarities beg the question, can we look for a Yangian extension of the broken symmetry algebra of the 6d theory, indeed this is precisely the same algebra as in the ABJM case. If the symmetry algebra can be extended to a Yangian, with the unique difference being we have actions for these null theories. There has been exciting recent work in applying the non-local symmetries of Yangian algebras directly to actions and equations of motion. It would be my intent to take the Yangian extension of Osp(6|4) and apply it to our actions for null M5 branes. The result of this calculation may serve as evidence for the integrability of the 6d SCFT. There are also the cases of the (1,0) 6d SCFTs, for which our null reduction also provides actions, the story is different, as the original superconformal algebra is not the same as ABJM but is not Osp(8*|2). But this is still a very relevant question, and it may be the case that for certain numbers of hypermultiplets and colours, we may also observe Yangian symmetry.

在我的研究中，我研究了（2,0）理论的无效降低，从而提高了偶然无效的M5 Branes的世界体积理论。这些理论特别令人感兴趣，因为尽管它们打破了6D Lorentz的对称性，但我们能够写下重现运动方程的动作，并且在超级对称的3/4中是不变的。确切地说，我们证明了从OSP（8*| 4）减少到OSP（6 | 4）的非标准实现，超符号对称组被打破了。显着的是，这是在ABJM的原始公式中观察到的完全相同的对称性破坏，只是在OSP的偶数部分（8*| 4）中，R-对称性和时空对称性的卷是反向的。更引人注目的是，在这两种情况下，都可以使用U（1）操作者来完成其非破布形式的理论范围，在ABJM中，这是由Monopole Operators在Instanton Operators在6D理论中执行的。这些相似之处引出了一个问题，我们可以寻找6D理论的破碎对称代数的扬式扩展吗？的确，这与ABJM案例完全是相同的代数。如果可以将对称代数扩展到Yangian，那么独特的区别是我们对这些无效理论采取了行动。最近在将扬古代代数的非本地对称性直接应用于运动和方程式的非本地对称性方面令人兴奋。这是我的目的是将Yangian扩展OSP（6 | 4）应用于我们对Null M5 Branes的行为。该计算的结果可以作为6D SCFT的整合性的证据。 （1,0）6D SCFT也有一些情况，为此，我们的零减少也提供了动作，故事是不同的，因为原始的超符号代数与ABJM不同，但不是OSP（8*| 2）。但这仍然是一个非常相关的问题，也许对于某些数量的超人和颜色，我们也可能会观察到扬吉对称性。