Mirror symmetry and bosonization in 2d and 3d

Karch, Andreas; Tong, David; Turner, Carl

doi:10.1007/jhep07(2018)059

Title: Mirror symmetry and bosonization in 2d and 3d

Journal Article · 09 July 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep07(2018)059 · OSTI ID:1499382

Karch, Andreas ^[1]; Tong, David ^[2]; Turner, Carl ^[2]

Univ. of Washington, Seattle, WA (United States). Dept. of Physics; Univ. of Washington, Seattle (United States)
Univ. of Cambridge (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics

We study a supersymmetry breaking deformation of the N=(2,2) cigar = Liouville mirror pair, first introduced by Hori and Kapustin. We show that mirror symmetry flows in the infra-red to 2d bosonization, with the theories reducing to massive Thirring and Sine-Gordon respectively. The exact bosonization map emerges at one-loop. We further compactify non-supersymmetric 3d bosonization dualities on a circle and argue that these too flow to 2d bosonization at long distances.

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Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0011637

OSTI ID:: 1499382

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (4)

Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories Dey, Anshuman; Halder, Indranil; Jain, Sachin Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/jhep11(2018)020	journal	November 2018
Adventure in Topological Phase Transitions in 3 + 1 -D: Non-Abelian Deconfined Quantum Criticalities and a Possible Duality Bi, Zhen; Senthil, T. Physical Review X, Vol. 9, Issue 2 https://doi.org/10.1103/physrevx.9.021034	journal	May 2019
A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants Karch, Andreas; Tong, David; Turner, Carl SciPost Physics, Vol. 7, Issue 1 https://doi.org/10.21468/scipostphys.7.1.007	journal	January 2019
Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories Dey, Anshuman; Halder, Indranil; Jain, Sachin arXiv https://doi.org/10.48550/arxiv.1808.04415	text	January 2018

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