Probing N=2 superconformal field theories with localization

Abstract

We use supersymmetric localization to study probes of four dimensional Lagrangian N=2 superconformal field theories. We first derive a unique equation for the eigenvalue density of these theories. We observe that these theories have a Wigner eigenvalue density precisely when they satisfy a necessary condition for having a holographic dual with a sensible higher-derivative expansion. We then compute in the saddle-point approximation the vacuum expectation value of 1/2-BPS circular Wilson loops, and the two-point functions of these Wilson loops with the Lagrangian density and with the stress-energy tensor. This last computation also provides the corresponding Bremsstrahlung functions and entanglement entropies. As expected, whenever a finite fraction of the matter is in the fundamental representation, the results are drastically different from those of N=4 supersymmetric Yang-Mills theory.

20 pages

References in corpus (5)

• Holography from Conformal Field Theory
• Beyond eta/s = 1/4pi
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• Operator product expansion of higher rank Wilson loops from D-branes and matrix models
• Exact probes of orientifolds

Cited by in corpus (22)

• Large N Correlation Functions in Superconformal Field Theories
• Exact Bremsstrahlung and Effective Couplings
• N=2 Conformal SYM theories at large N
• BPS Wilson loops in generic conformal N=2 SU(N) SYM theories
• Localization and AdS/CFT Correspondence
• Exact results in a N=2 superconformal gauge theory at strong coupling
• Quiver CFT at strong coupling
• The planar limit of $\mathcal{N}=2$ superconformal field theories
• Three-point functions in a $\mathcal{N}=2$ superconformal gauge theory and their strong-coupling limit
• Exact strong coupling results in $\mathcal{N}$=2 $Sp(2N)$ superconformal gauge theory from localization
• Non-planar corrections in orbifold/orientifold $\mathcal{N}=2$ superconformal theories from localization
• Marginal deformations and defect anomalies
• The Bremsstrahlung function of $\mathcal{N}=2$ SCQCD
• Universality of Toda equation in $\mathcal{N}=2$ superconformal field theories
• The planar limit of $\mathcal{N}=2$ chiral correlators
• Linear Quivers at Large-$N$
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• A derivation of the planar limit of $\mathcal{N}=2$ chiral correlators
• Chiral correlators in $\mathcal{N}=2$ superconformal quivers
• BPS Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation
• Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography
• Strong coupling expansion of free energy and BPS Wilson loop in $\mathcal{N}=2$ superconformal models with fundamental hypermultiplets