Quantum phase transition in many-flavor supersymmetric QED 3
TLDR
In this article, the authors studied a supersymmetric QED in three dimensions, on a three-sphere, with 2N massive hypermultiplets and a Fayet-Iliopoulos parameter, and identified the exact partition function of the theory with a conical Mehler function.Abstract:
We study $\mathcal{N}=4$ supersymmetric QED in three dimensions, on a three-sphere, with 2N massive hypermultiplets and a Fayet-Iliopoulos parameter We identify the exact partition function of the theory with a conical (Mehler) function This implies a number of analytical formulas, including a recurrence relation and a second-order differential equation, associated with an integrable system In the large N limit, the theory undergoes a second-order phase transition on a critical line in the parameter space We discuss the critical behavior and compute the two-point correlation function of a gauge invariant mass operator, which is shown to diverge as one approaches criticality from the subcritical phase Finally, we comment on the asymptotic 1/N expansion and on mirror symmetryread more
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A primer on resurgent transseries and their asymptotics
TL;DR: In this paper, resurgence and transseries are used to encode the complete large-order asymptotic behaviour of the coefficients from a perturbative expansion, generically in terms of (multi) instanton sectors and for each problem in terms with its Stokes constants, which are recast in equivalent physical languages: either a statistical mechanical language, as motions in chains and lattices; or a conformal field theoretical language, with underlying Virasoro-like algebraic structures.
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A Primer on Resurgent Transseries and Their Asymptotics
TL;DR: In this paper, the authors provide a good introduction to the resurgence and transseries of perturbative expansion models, which can be recast in equivalent physical languages: either a statistical mechanical language, as motions in chains and lattices; or a conformal field theoretical language, with underlying Virasoro-like algebraic structures.
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Holographic Van der Waals phase transition of the higher-dimensional electrically charged hairy black hole
TL;DR: In this paper, a Van der Waals-like phase transition was observed for the higher-dimensional Anti-de Sitter charged hairy black hole in the fixed charged ensemble, based on the Maxwell equal-area construction.
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Exact results and Schur expansions in quiver Chern-Simons-matter theories
TL;DR: In this paper, the expectation value of the Wilson loops in terms of sums of observables of two factorized copies of U(N ) pure Chern-Simons theory on the sphere was analyzed.
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More Large $N$ limits of 3d gauge theories
Louise Anderson,Nadav Drukker +1 more
TL;DR: In this paper, the authors studied the large $N$ solution to matrix models describing the partition functions of 3D supersymmetric gauge theories on S^3 and showed that the model can still be solved by standard large N$ techniques and explore the different phases of the model.
References
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Book
Instantons and Large N: An Introduction to Non-Perturbative Methods in Quantum Field Theory
TL;DR: In this article, the authors present a highly pedagogical textbook for graduate students in particle, theoretical and mathematical physics, which explores advanced topics of quantum field theory, including instantons, supersymmetric quantum mechanics, the large order behavior of perturbation theory, and Yang-Mills theories.