From Hagedorn to Lee-Yang: partition functions of \(\mathcal{N} = 4\) SYM theory at finite \(N\)

DOI10.1007/JHEP10(2020)006zbMath1456.81437arXiv2005.06480OpenAlexW3025232400MaRDI QIDQ2657709

Alexander T. Kristensson, Matthias Wilhelm

Publication date: 14 March 2021

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06480

zbMATH Keywords

AdS-CFT correspondencesupersymmetric gauge theoryconfinementHagedorn temperature

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supersymmetric field theories in quantum mechanics (81T60) Classical and relativistic thermodynamics (80A10) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items

Spectral form factor for free large \(N\) gauge theory and strings ⋮ Solving the Hagedorn temperature of \(\mathrm{AdS}_5/\mathrm{CFT}_4\) via the quantum spectral curve: chemical potentials and deformations ⋮ All-orders asymptotics of tensor model observables from symmetries of restricted partitions

Uses Software

• GrIP

Cites Work

• Spin matrix theory: a quantum mechanical model of the AdS/CFT correspondence
• Quantum gravity partition functions in three dimensions
• Surprisingly simple spectra
• Review of AdS/CFT integrability, chapter I.1: Spin chains in \({\mathcal{N}=4}\) super Yang-Mills
• Counting BPS operators in gauge theories: quivers, syzygies and plethystics
• Refined counting of necklaces in one-loop \(\mathcal{N}=4 \) SYM
• Poincaré series of some pure and mixed trace algebras of two generic matrices.
• The one-loop partition function of \(\mathcal N=4\) super-Yang--Mills theory on \(\mathbb R \times S^3\)
• Quantum mechanical sectors in thermal \(\mathcal N=4\) super-Yang-Mills on \(\mathbb R \times S^3\)
• The Poincaré series of the ring of 2x2 generic matrices
• The large \(N\) limit of superconformal field theories and supergravity
• Anti-de Sitter space, thermal phase transition, and confinement in gauge theories.
• The Hagedorn transition, deconfinement and \( N=4\) SYM theory
• The Hagedorn temperature of AdS\(_{5}\)/CFT\(_{4}\) at finite coupling via the quantum spectral curve
• A proposal of the gauge theory description of the small Schwarzschild black hole in \(AdS_{5} {\times} S^{5}\)
• Submatrix deconfinement and small black holes in AdS
• Exact correlators of giant gravitons from dual \(N=4\) SYM theory.
• Thermal phase transition in Yang-Mills matrix model
• Asymptotic growth of the 4d \(\mathcal{N} = 4\) index and partially deconfined phases
• Negative specific heat from non-planar interactions and small black holes in AdS/CFT
• Erratum to: Partial deconfinement
• Anatomy of deconfinement
• The Hagedorn/deconfinement phase transition in weakly coupled large \(N\) gauge theories
• Free particles from Brauer algebras in complex matrix models
• Counting BPS operators in \(\mathcal N = 4\) SYM
• An integrability primer for the gauge-gravity correspondence: an introduction
• THE HAGEDORN/DECONFINEMENT PHASE TRANSITION IN WEAKLY COUPLED LARGE N GAUGE THEORIES
• The Hagedorn temperature in a decoupled sector of AdS/CFT
• The ring of invariants of matrices
• Quiver asymptotics: N=1 free chiral ring
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
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