On a 5D UV completion of Argyres-Douglas theories

Abstract

We discuss a novel UV completion of a class of Argyres-Douglas (AD) theories in the $\Omega$-background by its embedding into the renormalisation group flow from five dimensional $\mathcal{N}=1$ superconformal field theories (SCFT) on $S^1$. This is obtained via analysing these theories in the light of ($q$-)Painlevé/gauge theory correspondence, which allows to compute the five dimensional BPS partition functions as an expansion in the Wilson loop vev with integer $q$-polynomials coefficients. These are derived formulating the gauge theory on a blown-up geometry and using a five-dimensional lift of (topological) operator/state correspondence. We discuss in detail the phase diagram of the four dimensional limits, pinpointing the special AD loci. Explicit computations are reported for ${\tilde{E}}_1$ SCFT and its limit to H${}_0=(A_1,A_2)$ AD theory.

arXiv comment40 pages, 5 figures, 1 appendix, v3: reference added

References in corpus (39)

• New Phenomena in SU(3) Supersymmetric Gauge Theory
• Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• New N=2 Superconformal Field Theories in Four Dimensions
• Quantization of Integrable Systems and Four Dimensional Gauge Theories
• An N=2 Superconformal Fixed Point with E_6 Global Symmetry
• Instanton counting on blowup. I. 4-dimensional pure gauge theory
• General Argyres-Douglas Theory
• Five Dimensional Gauge Theories and Relativistic Integrable Systems
• N=1 Deformations and RG Flows of N=2 SCFTs
• Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index
• 5-Brane Webs, Symmetry Enhancement, and Duality in 5d Supersymmetric Gauge Theory
• Wild Quiver Gauge Theories
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• How instanton combinatorics solves Painlevé VI, V and III's
• Discrete theta and the 5d superconformal index
• On Painlevé/gauge theory correspondence
• Chern-Simons and Twisted Supersymmetry in Higher Dimensions
• Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
• N=1 Lagrangians for generalized Argyres-Douglas theories
• Cluster integrable systems, q-Painleve equations and their quantization
• Q-deformed Painleve tau function and q-deformed conformal blocks
• Exact results for $\mathcal{N}=2$ supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants
• Analyticity of Nekrasov Partition Functions
• Cluster Toda chains and Nekrasov functions
• $\mathcal{N}=2^{\ast }$ gauge theory, free fermions on the torus and Painlevé VI
• Review of localization for 5d supersymmetric gauge theories
• 5d/6d Wilson loops from blowups
• Backlund transformation of Painleve III($D_8$) tau function
• On the compactification of 5d theories to 4d
• Effective gravitational couplings of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories
• BPS quivers of five-dimensional SCFTs, Topological Strings and q-Painlevé equations
• Instantons to the people: the power of one-form symmetries
• Topological strings and Wilson loops
• Higher rank isomonodromic deformations and W-algebras
• $t{t}^{\ast }$ Toda equations for surface defects in $\mathcal{N}=2$ SYM and instanton counting for classical Lie groups
• Hirota bilinear equations for Painlevé transcendents
• Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus
• Probing Quantum Curves and Transitions in 5d SQFTs via Defects and Blowup Equations

Cited by in corpus (1)

• More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations