Higher Structure in String Theory

首先，我们需要知道我们所说的更高的结构是什么意思。我们所说的结构可能是指在我们的理论中存在冗余的情况。换句话说，我们拥有了更多的自由度，这是我们应该拥有的。这种情况的经典例子是麦克斯韦光理论，或者更广泛地说是“杨-米尔斯”理论。由这些理论构建的标准模型是有史以来最成功的理论物理学家。结果应该是规范理论是描述我们世界的理论。对这样一个理论的正确数学描述是粒子被该理论“输送”。但现在，随着弦理论的引入，我们相信0维物体并不是我们宇宙中唯一的物体。因此，我们宇宙的完整理论必须包含“高等物体的运输”。值得一提的是，更高的版本伴随着可能失控的更大的冗余。这些概念在形成M理论的方式上已经变得成功(例如，参见Arxiv：1903.02888)。高等传输的数学还没有完全确定(参见arxiv：1911.06390)。令人惊讶的是，物理学家曾经研究过这些东西。我们的主要研究目标是详细研究描述M-2膜和M-5膜相互作用的(2.0)理论，该理论已经通过了几次一致性检验，深入了解可能会更好地理解未知的完整M-理论。

First we need to know what do we mean by higher structures.By structures, we may mean situations where there is a redundancy in our theory. To put it into other words, we are having more degrees of freedom as we should. The classic example of such a situation is Maxwell Theory of Light or more generally "Yang-Mills" theories. The standard model constructed by these theories has been the most successful theory physicist ever came up with.The result should be that Gauge Theories are the ones to describe our world.The correct mathematical description of a such a theory is particles are "transported" by the Theory. But now, with the introduction of String Theory, we believe that 0-dimensional objects are not the only objects of our universe. So the full theory of our universe must contain "Transport of Higher Objects". It is worth mentioning that higher versions come with very bigger redundancies that may go out of control.These concepts has already become successful in the way of formulating M-Theory (see arXiv:1903.02888 for example).The Mathematics of Higher Transport is not completely settled (see arXiv:1911.06390).It is surprising that physicist used to work with these things. Two areas of which are SuperGravity and Anomally Matching.Our main goal of study is to study in detail the (2.0) theory which describes interaction of M-2 branes with M-5 branes which has passed several consistency checks and deeper understanding may result in better understanding of full M-Theory which is unknown.