论文标题

通过分解代数的缺陷

Defects via Factorization Algebras

论文作者

Contreras, Ivan, Elliott, Chris, Gwilliam, Owen

论文摘要

我们提供了关于野外理论的缺陷思想的数学表述,就可观察到的分解代数和使用BV形式主义而言。我们的方法遵循众所周知的安萨兹(Ansatz),将缺陷识别为沿爆炸边界的边界条件,但它使用了Butson-Yoo和Rabinovich的最新工作,在边界条件及其相关的分解代数方面实现了ANSATZ。我们描述了一系列自然示例如何适合我们的框架。

We provide a mathematical formulation of the idea of a defect for a field theory, in terms of the factorization algebra of observables and using the BV formalism. Our approach follows a well-known ansatz identifying a defect as a boundary condition along the boundary of a blow-up, but it uses recent work of Butson-Yoo and Rabinovich on boundary conditions and their associated factorization algebras to implement the ansatz. We describe how a range of natural examples of defects fits into our framework.

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