Two-dimensional gauge theories of the symmetric group \(S_n\) in the large-\(N\) limit

DOI10.1007/s00220-003-1005-3zbMath1069.81033arXivhep-th/0110243OpenAlexW2008744342MaRDI QIDQ1422070

Paolo Provero, Alessandro D'adda

Publication date: 17 February 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0110243

zbMATH Keywords

branched Riemann-surface \(n\)-coveringscovering-surface connectivity propertiesnon trivial phase structure

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Enumeration in graph theory (05C30) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Yang-Mills and other gauge theories in quantum field theory (81T13) Continuum limits in quantum field theory (81T27) Phase transitions (general) in equilibrium statistical mechanics (82B26) Symmetric groups (20B30)

Related Items (4)

Quivers as calculators: counting, correlators and Riemann surfaces ⋮ Large-\(N\) transitions for generalized Yang--Mills theories in \(1+1\) dimensions ⋮ A new large \(N\) phase transition in \(\text{YM}_2\) ⋮ Counting tensor model observables and branched covers of the 2-sphere

Cites Work

• Complex matrix models and statistics of branched coverings of 2D surfaces
• Generating a random permutation with random transpositions

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