论文标题
统一的非金属（1,0）Tensor-Einstein超级理论和（4,0）超重力在六个维度上
Unified non-metric (1,0) tensor-Einstein supergravity theories and (4,0) supergravity in six dimensions
论文作者
论文摘要
6D超符号代数OSP（8*| 8）的超短型统一（4,0）超级元素将4D超符号代数SU（2,2 | 8）的CPT-SELL CONJUGATE SUPERMULTIPLET降低，代表了最大n = 8 = 8 supergravity的领域。 （4,0）多重组中的重力由混合张量规场描述，该电量规场无法用6D中的标准度量标识。此外，（4,0）supermultiplet可以作为（2,0）共形的超级副本的双副本获得，其相互作用的理论是非lagrangian。有人认为，相互作用的非金属（4,0）超级理论可能描述了5D最大超级实力的强耦合阶段。在本文中，我们研究了6D中相互作用的非现象（4,0）超级实质性相互作用的含义。 （4,0）理论可以被截断为非现象（1,0）超级重力耦合到5,8和14个自动二张量多重多重，这些多重量降低到d = 5中的三种统一的魔法超级重力理论中的三种。这意味着统一n = 2，5d Maxwell-Einstein超级重力理论（MESGTS）的三个无限家族，以及两个零星的家族，必须对统一的非金属（1,0）张量EINSTEIN EINSTEIN超级严重理论提升。这些理论具有非紧密的全局对称群，其中所有自偶会张量场（包括引力量）不可避免地转换。这些理论中的四种是神奇的超级重力理论的提升，其标量歧管是对称空间。其他统一理论的标量歧管不是同质空间。我们还讨论了非金属统一$（1,0）$ Tensor-Einstein Suprgravity理论的特殊领域理论公式，并以有关存在较高维度非金属超级强烈理论的猜测，以减少$（4,0）$ d = 6 $ d = 6 $。
The ultrashort unitary (4,0) supermultiplet of 6d superconformal algebra OSp(8*|8) reduces to the CPT-self conjugate supermultiplet of 4d superconformal algebra SU(2,2|8) that represents the fields of maximal N=8 supergravity. The graviton in the (4,0) multiplet is described by a mixed tensor gauge field which can not be identified with the standard metric in 6d. Furthermore the (4,0) supermultiplet can be obtained as a double copy of (2,0) conformal supermultiplet whose interacting theories are non-Lagrangian. It had been suggested that an interacting non-metric (4,0) supergravity theory might describe the strongly coupled phase of 5d maximal supergravity. In this paper we study the implications of the existence of an interacting non-metric (4,0) supergravity in 6d. The (4,0) theory can be truncated to non-metric (1,0) supergravity coupled to 5,8 and 14 self-dual tensor multiplets that reduce to three of the unified magical supergravity theories in d=5. This implies that the three infinite families of unified N=2 , 5d Maxwell-Einstein supergravity theories (MESGTs) plus two sporadic ones must have uplifts to unified non-metric (1,0) tensor Einstein supergravity theories in d=6. These theories have non-compact global symmetry groups under which all the self-dual tensor fields including the gravitensor transform irreducibly. Four of these theories are uplifts of the magical supergravity theories whose scalar manifolds are symmetric spaces. The scalar manifolds of the other unified theories are not homogeneous spaces. We also discuss the exceptional field theoretic formulations of non-metric unified $(1,0)$ tensor-Einstein supergravity theories and conclude with speculations concerning the existence of higher dimensional non-metric supergravity theories that reduce to the $(4,0)$ theory in $d=6$.
