Large R-charge EFT correlators in N=2 SQCD

Abstract

We consider large-R-charge Coulomb branch correlation functions in $\mathcal{N}=2$ superconformal QCD in D=4 dimensions, with gauge group $SU(2)$ and $N_f=4$ hypermultiplets in the fundamental representation. Using information from supersymmetric recursion relations, S-duality, and matching of EFT parameters with the double-scaling limit, we give an exact formula for the massless Coulomb branch EFT contribution to the correlation function two-point functions of the n.th power of the chiral ring generator, $G_{2n}^{\text{(EFT)}}=\frac{2^{4n}}{Z_{S^4}[\tau ]}\Gamma (2n+5/2)e^{A[\tau ]n+B[\tau ]}$ with $A[\tau ]$ and $B[\tau ]$ given as explicit functions of the coupling constant $\tau$ in closed form. We note the precise agreement of the EFT formula with supersymmetric localization even at low values of $n$, and discuss aspects of the post-EFT remainder contributed by the macroscopic virtual propagation of massive particles.

64 pages, 2 figures

References in corpus (40)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Chaos and Quantum Thermalization
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• The D1/D5 System And Singular CFT
• The Analytic Bootstrap and AdS Superhorizon Locality
• New N=2 Superconformal Field Theories in Four Dimensions
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Positivity Constraints on Anomalies in Supersymmetric Gauge Theories
• Sphere Partition Functions and the Zamolodchikov Metric
• Correlation Functions of Coulomb Branch Operators
• Direct Integration of the Topological String
• Compensating strong coupling with large charge
• Higher-spin correlators
• The Epsilon Expansion Meets Semiclassics
• On the Strong Coupling Scaling Dimension of High Spin Operators
• On the instantons and the hypermultiplet mass of N=2* super Yang-Mills on S^4
• Conformal Bootstrap At Large Charge
• Topological Anti-Topological Fusion in Four-Dimensional Superconformal Field Theories
• Exact correlation functions in SU(2) N=2 superconformal QCD
• Exponentiation of Multiparticle Amplitudes in Scalar Theories
• Large charge at large N
• On N=2 Supersymmetric QCD with 4 Flavors
• Heavy Operators and Hydrodynamic Tails
• Universal correlation functions in rank 1 SCFTs
• Deformed N=2 theories, generalized recursion relations and S-duality
• Feynman diagrams and the large charge expansion in $3-\epsilon$ dimensions
• Beurling-Selberg Extremization and Modular Bootstrap at High Energies
• String Theory of the Regge Intercept
• A note on the large charge expansion in 4d CFT
• Resurgence of the large-charge expansion
• The Spinful Large Charge Sector of Non-Relativistic CFTs: From Phonons to Vortex Crystals
• Review of the semiclassical formalism for multiparticle production at high energies
• The OPE meets semiclassics
• Transition of Large $R$-Charge Operators on a Conformal Manifold
• Large Charge Sector of 3d Parity-Violating CFTs
• Inconsistencies of higgsplosion
• Near-Schrödinger dynamics at large charge
• Exploring High Multiplicity Amplitudes in Quantum Mechanics

Cited by in corpus (4)

• Nonrelativistic CFTs at Large Charge: Casimir Energy and Logarithmic Enhancements
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• The Breakdown of Resummed Perturbation Theory at High Energies
• Matrix models for extremal and integrated correlators of higher rank