Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8201446 | Annals of Physics | 2018 | 24 Pages |
Abstract
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.
Keywords
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Chen-Te Ma,