Galois conjugation and multiboundary entanglement entropy

Journal of High Energy Physics

Matthew Buican¹  Rajath Radhakrishnan¹ 

[1] CRST and School of Physics and Astronomy, Queen Mary University of London;

关键词: Anyons;    Chern-Simons Theories;    Topological Field Theories;   

DOI  :  10.1007/JHEP12(2020)045

来源: DOAJ

【 摘 要 】

Abstract We revisit certain natural algebraic transformations on the space of 3D topological quantum field theories (TQFTs) called “Galois conjugations.” Using a notion of multiboundary entanglement entropy (MEE) defined for TQFTs on compact 3-manifolds with disjoint boundaries, we give these abstract transformations additional physical meaning. In the process, we prove a theorem on the invariance of MEE along orbits of the Galois action in the case of arbitrary Abelian theories defined on any link complement in S 3. We then give a generalization to non-Abelian TQFTs living on certain infinite classes of torus link complements. Along the way, we find an interplay between the modular data of non-Abelian TQFTs, the topology of the ambient spacetime, and the Galois action. These results are suggestive of a deeper connection between entanglement and fusion.

【 授权许可】

Unknown