The fermion-boson map for large $d$

DOI10.1016/j.nuclphysb.2019.01.015zbMath1415.81037arXiv1803.05950OpenAlexW2792197277WikidataQ128454375 ScholiaQ128454375MaRDI QIDQ2421481

Nicholas D. Vlachos, Evangelos G. Filothodoros

Publication date: 17 June 2019

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05950

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Spinor and twistor methods applied to problems in quantum theory (81R25) Index theory and related fixed-point theorems on manifolds (58J20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Polyhedral manifolds (52B70) Statistical thermodynamics (82B30)

Related Items (7)

More abelian dualities in 2 + 1 dimensions ⋮ Thermal one-point functions: CFT's with fermions, large \(d\) and large spin ⋮ Thermal one-point functions and single-valued polylogarithms ⋮ Strong coupling universality at large N for pure CFT thermodynamics in 2+1 dimensions ⋮ Large charge at large N ⋮ Anomaly matching in QCD thermal phase transition ⋮ Nambu-Jona Lasinio and nonlinear sigma models in condensed matter systems

Cites Work

• Particle-vortex duality in topological insulators and superconductors
• The Bloch-Wigner-Ramakrishnan polylogarithm function
• A duality web in \(2+1\) dimensions and condensed matter physics
• Relations for Nielsen polylogarithms
• S-duality resurgence in SL(2) Chern-Simons theory
• Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
• Quantization of Chern-Simons gauge theory with complex gauge group
• Finite-Temperature Field Theory
• The Dilogarithm Function
• Nielsen’s Generalized Polylogarithms
• Statistical Field Theory
• On the free-energy of three-dimensional CFTs and polylogarithms
• The fermion-boson mapping in three-dimensional quantum field theory

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