Bose-Fermi Chern-Simons dualities in the Higgsed phase

Choudhury, Sayantan (0000 0001 0790 4262, Theoretical Cosmology Group, Max Planck Institute for Gravitational Physics, Albert Einstein Institute, Am Mühlenberg 1, 14476, Potsdam-Golm, Germany) ; Dey, Anshuman (0000 0004 0502 9283, Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Rd, Mumbai, 400005, India) ; Halder, Indranil (0000 0004 0502 9283, Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Rd, Mumbai, 400005, India) ; Jain, Sachin (0000 0004 1764 2413, Indian Institute of Science Education and Research, Homi Bhabha Rd, Pashan, Pune, 411 008, India) ; Janagal, Lavneet (0000 0004 0502 9283, Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Rd, Mumbai, 400005, India) ; Minwalla, Shiraz (0000 0004 0502 9283, Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Rd, Mumbai, 400005, India) ; Prabhakar, Naveen (0000 0004 0502 9283, Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Rd, Mumbai, 400005, India)

29 November 2018

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.


Published in: JHEP 1811 (2018) 177
Published by: Springer/SISSA
DOI: 10.1007/JHEP11(2018)177
arXiv: 1804.08635
License: CC-BY-4.0



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