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  Bose-Fermi Chern-Simons Dualities in the Higgsed Phase

Choudhury, S., Dey, A., Halder, I., Jain, S., Janagal, L., Minwalla, S., et al. (2018). Bose-Fermi Chern-Simons Dualities in the Higgsed Phase. Journal of high energy physics: JHEP, 2018 (11): 177. doi:10.1007/JHEP11(2018)177.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-4032-E Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E957-6
Genre: Journal Article

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 Creators:
Choudhury, Sayantan1, Author              
Dey, Anshuman, Author
Halder, Indranil, Author
Jain, Sachin, Author
Janagal, Lavneet, Author
Minwalla, Shiraz, Author
Prabhakar, Naveen, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: It has been conjectured that fermions minimally coupled to a Chern-Simons gauge field define a conformal field theory (CFT) that is level-rank dual to Chern-Simons gauged Wilson-Fisher Bosons. The CFTs in question admit relevant deformations parametrized by a real mass. When the mass deformation is positive, the duality of the two deformed theories has previously been checked in detail in the large $N$ limit by comparing explicit all orders results on both sides of the duality. In this paper we perform a similar check for the case of negative mass deformations. In this case the bosonic field condenses triggering the Higgs mechanism. The effective excitations in this phase are massive $W$ bosons. By summing all leading large $N$ graphs involving these $W$ bosons we find an all orders (in the 't Hooft coupling) result for the thermal free energy of the bosonic theory in the condensed phase. Our final answer perfectly matches the previously obtained fermionic free energy under the conjectured duality map.

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 Dates: 2018-04-232018
 Publication Status: Published in print
 Pages: 48 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1804.08635
URI: http://arxiv.org/abs/1804.08635
DOI: 10.1007/JHEP11(2018)177
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2018 (11) Sequence Number: 177 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002