A duality web in condensed matter systems

作者：Ma Chen Te^*

来源：Annals of Physics, 2018, 390: 107-130.

DOI：10.1016/j.aop.2018.01.008

• Topological states of matter
• Topological field theories
• Duality in gauge field theories

We study various dualities in condensed matter systems. The dualities in three dimensions can be derived from a conjecture of a duality between a Dirac fermion theory and an interacting scalar field theory at a Wilson-Fisher fixed point and zero temperature in three dimensions. We show that the dualities are not affected by non-trivial holonomy, use a mean-field method to study the dualities, and discuss the dualities at a finite temperature. Finally, we combine a bulk theory, which is an Abelian p-form theory with a theta term in 2p + 2 dimensions, and a boundary theory, which is a 2p + 1 dimensional theory, to discuss constraints and difficulties of a 2p + 1 dimensional duality web.

• 出版日期2018-3