论文标题

旋转载体二元性和滚筒

Spinor-Vector Duality and the Swampland

论文作者

Faraggi, Alon E.

论文摘要

Swampland计划旨在解决以下问题:“量子重力的有效现场理论模型何时在弦理论中完全嵌入了紫外线?”,可以被视为对量子重力研究的自下而上的方法。另一种自上而下的方法旨在探索弦理论二元性和对称性对量子重力的有效野外理论表示所施加的烙印和约束。这种方法最著名的例子是镜面对称性。镜像对称性首先是在弦乐紧凑型的世界表格中观察到的。从有效的现场理论的角度来看,这是完全出乎意料的,在这种情况下的含义令人震惊。就环形压实的Narain空间的模量参数而言,可以认为是镜像对称性是由内部压缩空间的模量映射引起的。在弦真空的世界表构造中发现的旋转矢量二元性是镜像对称性的扩展,它来自威尔逊线模量的映射,并提供了一个探测来限制和探索$(2,0)$ string compactification的模量空间。镜像对称性和旋转矢量二元性仅仅是两个较宽的对称结构的示例,其含义尚未被揭示。简要讨论了超对称性和非超对称性真空吸尘器之间的映射。 $ t $ - 双重性是字符串理论的另一个重要属性,可以将其视为紧凑型空间中的相位二元性。我提出了表现出的相对二重性,以及量子力学的相关对等假设提供了背景独立的量子重力基础的总体原理。

The Swampland Program aims to address the question, "when does an effective field theory model of quantum gravity have an ultraviolet complete embedding in string theory?", and can be regarded as a bottom-up approach to investigations of quantum gravity. An alternative top-down approach aim to explore the imprints and the constraints imposed by the string theory dualities and symmetries on the effective field theory representations of quantum gravity. The most celebrated example of this approach is mirror symmetry. Mirror symmetry was first observed in worldsheet contructions of string compactifications. It was completely unexpected from the effective field theory point of view, and its implications in that context were astounding. In terms of the moduli parameters of toroidally compactified Narain spaces, mirror symmetry can be regarded as arising from mappings of the moduli of the internal compactified space. Spinor-vector duality, which was discovered in worldsheet constructions of string vacua, is an extension of mirror symmetry that arises from mappings of the Wilson line moduli, and provide a probe to constrain and explore the moduli spaces of $(2,0)$ string compactifications. Mirror symmetry and spinor-vector duality are mere two examples of a much wider symmetry structure, whose implications are yet to be unravelled. A mapping between supersymmetric and non-supersymmetric vacua is briefly discussed. $T$-duality is another important property of string theory, and can be thought of as phase-space duality in compact space. I propose that manifest phase-space duality, and the related equivalence postulate of quantum mechanics, provide the background independent overarching principles underlying quantum gravity.

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