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Duality between $(2+1)d$ Quantum Critical Points

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arxiv 1810.05174 v1 pith:XEKL2JQT submitted 2018-10-11 cond-mat.str-el

T. Senthil , Dam Thanh Son , Chong Wang , Cenke Xu This is my paper
classification cond-mat.str-el
keywords quantumpointscriticaldescriptionsdualitiestheoriesunderstandingcondensed
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abstract

Duality refers to two equivalent descriptions of the same theory from different points of view. Recently there has been tremendous progress in formulating and understanding possible dualities of quantum many body theories in $2+1$-spacetime dimensions. Of particular interest are dualities that describe conformally invariant quantum field theories in $(2+1)d$. These arise as descriptions of quantum critical points in condensed matter physics. The appreciation of the possible dual descriptions of such theories has greatly enhanced our understanding of some challenging questions about such quantum critical points. Perhaps surprisingly the same dualities also underlie recent progress in our understanding of other problems such as the half-filled Landau level and correlated surface states of topological insulators. Here we provide a pedagogical review of these recent developments from a point of view geared toward condensed matter physics.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies

    hep-th 2026-07 accept novelty 7.0 of 10

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  3. Planar Abelian Duals of Chern-Simons QCD

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  4. Thermal field theory correlators in the large-$N$ limit and the spectral duality relation

    hep-th 2025-09 conditional novelty 6.0 of 10

    The spectral duality relation, previously found for 3d CFTs and 4d black holes, is shown to hold for meromorphic thermal two-point correlators in any dimension and for correlators related by double-trace deformations,...

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