Quantum phase transitions in mass-deformed ABJM matrix model

2014/06/30 by Louise Anderson, Konstantin Zarembo · 31 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Function (biology) #Matrix (chemical analysis) #Matrix model #Partition function (quantum field theory) #Phase (matter) #Phase transition #Quantum #Quantum phase transition #Theoretical and Computational Physics #hep-th

paper · pdf · doi:10.1007/jhep09(2014)021

published in Journal of High Energy Physics 2014(9) (Springer Nature) · 25 pages, 9 figures; v2: references added; v3: comment on massless model added

arxiv created 2014/08/14 · openalex publication_date 2014/09/01 · arxiv updated 2015/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

When mass-deformed ABJM theory is considered on S 3, the partition function of the theory localises, and is given by a matrix model. At large N, we solve this model in the decompactification limit, where the radius of the three-sphere is taken to infinity. In this limit, the theory exhibits a rich phase structure with an infinite number of third-order quantum phase transitions, accumulating at strong coupling.

Citations

• Summing up all genus free energy of ABJM matrix model
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

Cited by

• Identification of bulk coupling constant in higher spin/ABJ correspondence
• More large N limits of 3d gauge theories

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