论文标题
o（d，d）和字符串$α'$扩展：障碍物
O(D,D) and the string $α'$ expansion: An obstruction
论文作者
论文摘要
双场理论（DFT）试图使弦理论的O（d，d）T偶（t）对称体现在降低D-torus之前。众所周知，超级重力可以以O（d，d）的协变方式进行配制，并且显着地对$α'$的第一阶仍然是真实的。我们设置了一种系统的方法来分析O（d，d）不变性，在字段中按顺序按顺序进行工作，我们执行订单$α'^3 $。在$α'$的订单上，我们恢复已知的Riemann平方不变性，而在$α'^2 $的订单中，我们没有发现独立的不变性。这与字符串理论的$α'$扩展兼容。但是，在$α'^3 $的顺序下，我们表明又没有o（d，d）不变，这与所有字符串理论都具有四分之一的riemann不变性，系数与$ζ（3）$相称。我们得出的结论是，DFT和类似框架无法捕获字符串理论中的完整$α'$扩展。
Double Field Theory (DFT) is an attempt to make the O(d,d) T-duality symmetry of string theory manifest, already before reducing on a d-torus. It is known that supergravity can be formulated in an O(D,D) covariant way, and remarkably this remains true to the first order in $α'$. We set up a systematic way to analyze O(D,D) invariants, working order by order in fields, which we carry out up to order $α'^3$. At order $α'$ we recover the known Riemann squared invariant, while at order $α'^2$ we find no independent invariant. This is compatible with the $α'$ expansion in string theory. However, at order $α'^3$ we show that there is again no O(D,D) invariant, in contradiction to the fact that all string theories have a quartic Riemann invariant with coefficient proportional to $ζ(3)$. We conclude that DFT and similar frameworks cannot capture the full $α'$ expansion in string theory.
