论文标题
重力，二元性和形式对称性
Gravity, Duality and Conformal Symmetry
论文作者
论文摘要
6个维度的（4,0）超级元素包含一个带有Riemann张量对称性的第4等级张量规场，并且具有超符号，具有32+32个超对称性。圆上的尺寸减小给出了5D n = 8超级多重，而第四级量张量降低为重力。如果存在相互作用的（4,0）理论，则应将其降低到完整的n = 8超级理论，因此将提供一种相质的重力理论，它将以低能量下的通常的2衍生作用来减少常规重力。本文重述了以下猜想：非拉格朗日相互作用（4,0）超符合理论源于5D超级实力的强耦合极限（适当地嵌入M理论中），该界限是在Planck量表以外的能量中描述M理论的。确定了一个关键测试：将M-M理论在5D上压实到5D应具有某些BPS状态，并带有单线中央电荷。这些1/2 BPS状态与二元性无关，与任何标准的BPS状态无关，也不对应于非单明的Soliton溶液 - 它们似乎与与重力Instantons相关的单数溶液对应。需要这样的状态为紧缩的6D理论提供Kaluza-Klein模式。如果没有这样的状态，那么猜想是错误的，而这种状态的存在将是强烈的迹象表明猜想可能是正确的。
The (4,0) supermultiplet in 6 dimensions contains a 4th rank tensor gauge field with the symmetries of the Riemann tensor and is superconformal, with 32+32 supersymmetries. Dimensional reduction on a circle gives the 5D N=8 supergravity multiplet, with the 4th rank tensor reducing to the graviton. If there is an interacting (4,0) theory it should reduce to the full N=8 supergravity theory and so would give a conformal theory of gravity that would reduce to conventional gravity with the usual 2-derivative action at low energies. This paper revisits the conjecture that a non-lagrangian interacting (4,0) superconformal theory arises from a strong coupling limit of 5D supergravity (suitably embedded in M-theory) describing M-theory at energies beyond the Planck scale. A key test for this is identified: M-theory toroidally compactified to 5D should have certain BPS states carrying a singlet central charge. These 1/2 BPS states are not related to any of the standard BPS states by dualities and do not correspond to non-singular soliton solutions -- they appear to correspond to singular solutions related to gravitational instantons. Such states are needed to provide the Kaluza-Klein modes for the compactified 6D theory. If there are no such states, then the conjecture is false, while the presence of such states would be strong indication that the conjecture could be true.
