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arXiv · 1707.09582

A Duality Web in Condensed Matter Systems

Chen-Te Ma
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Abstract

We study various dualities in condensed matter systems. The dualities in three dimensions could be derived from a conjecture of a duality between a Dirac fermion theory and an interacting scalar field theory at the Wilson-Fisher fixed point and zero temperature in three dimensions. We show that the dualities are not affected by the non-trivial holonomy, use a mean-field method to study, 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 duality web in $2p+1$ dimensions.

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Chen-Te Ma. 2017-07-30. A Duality Web in Condensed Matter Systems. https://doi.org/10.1016/j.aop.2018.01.008

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