The N=2$$ \mathcal{N}=2 $$ superconformal bootstrap

  title={The N=2\$\$ \mathcal\{N\}=2 \$\$ superconformal bootstrap},
  author={Christopher Alan Beem and Madalena Lemos and Pedro Liendo and Leonardo Rastelli and Balt C. van Rees},
  journal={Journal of High Energy Physics},
A bstractIn this work we initiate the conformal bootstrap program for N=2$$ \mathcal{N}=2 $$ super-conformal field theories in four dimensions. We promote an abstract operator-algebraic viewpoint in order to unify the description of Lagrangian and non-Lagrangian theories, and formulate various conjectures concerning the landscape of theories. We analyze in detail the four-point functions of flavor symmetry current multiplets and of N=2$$ \mathcal{N}=2 $$ chiral operators. For both correlation… 
Bootstrapping N=3$$ \mathcal{N}=3 $$ superconformal theories
A bstractWe initiate the bootstrap program for N=3$$ \mathcal{N}=3 $$ superconformal field theories (SCFTs) in four dimensions. The problem is considered from two fronts: the protected subsector
More ${\mathcal N}$=4 superconformal bootstrap
In this long overdue second installment, we continue to develop the conformal bootstrap program for ${\mathcal N}=4$ superconformal field theories in four dimensions via an analysis of the
Bootstrapping N=2$$ \mathcal{N}=2 $$ chiral correlators
A bstractWe apply the numerical bootstrap program to chiral operators in four-dimensional N=2$$ \mathcal{N}=2 $$ SCFTs. In the first part of this work we study four-point functions in which all
N=2$$ \mathcal{N}=2 $$ central charge bounds from 2d chiral algebras
A bstractWe study protected correlation functions in N=2$$ \mathcal{N}=2 $$ SCFT whose description is captured by a two-dimensional chiral algebra. Our analysis implies a new analytic bound for the
Stress-tensor OPE in N=2$$ \mathcal{N}=2 $$ superconformal theories
A bstractWe carry out a detailed superspace analysis of the OPE of two N=2$$ \mathcal{N}=2 $$ stress-tensor multiplets. Knowledge of the multiplets appearing in the expansion, together with the
Mixed OPEs in N=2$$ \mathcal{N}=2 $$ superconformal theories
A bstractUsing superspace techniques, we compute the mixed OPE between an N=2$$ \mathcal{N}=2 $$ stress-tensor multiplet, a chiral multiplet and a flavor current multiplet. We perform a detailed
N$$ \mathcal{N} $$ = 4 superconformal bootstrap of the K3 CFT
A bstractWe study two-dimensional (4, 4) superconformal field theories of central charge c = 6, corresponding to nonlinear sigma models on K3 surfaces, using the superconformal bootstrap. This is
The 3d $\mathcal{N}=6$ Bootstrap: From Higher Spins to Strings to Membranes
We study the space of 3d ${\cal N} = 6$ SCFTs by combining numerical bootstrap techniques with exact results derived using supersymmetric localization. First we derive the superconformal block
The most general 4D$$ \mathcal{D} $$N$$ \mathcal{N} $$ = 1 superconformal blocks for scalar operators
A bstractWe compute the most general superconformal blocks for scalar operators in 4D$$ \mathcal{D} $$N$$ \mathcal{N} $$ = 1 superconformal field theories. Specifically we employ the supershadow
4d N$$ \mathcal{N} $$ =2 theories with disconnected gauge groups
A bstractIn this paper we present a beautifully consistent web of evidence for the existence of interacting 4d rank-1 N$$ \mathcal{N} $$ = 2 SCFTs obtained from gauging discrete subgroups of global


The N=8$$ \mathcal{N}=8 $$ superconformal bootstrap in three dimensions
A bstractWe analyze the constraints imposed by unitarity and crossing symmetry on the four-point function of the stress-tensor multiplet of N=8$$ \mathcal{N}=8 $$ superconformal field theories in
Bounds on N$$ \mathcal{N} $$ = 1 superconformal theories with global symmetries
A bstractRecently, the conformal-bootstrap has been successfully used to obtain generic bounds on the spectrum and OPE coefficients of unitary conformal field theories. In practice, these bounds are
Constraints on chiral operators in N=2$$ \mathcal{N}=2 $$ SCFTs
A bstractWe study certain higher-spin chiral operators in N=2$$ \mathcal{N}=2 $$ superconformal field theories (SCFTs). In Lagrangian theories, or in theories related to Lagrangian theories by
tt* equations, localization and exact chiral rings in 4d N$$ \mathcal{N} $$ =2 SCFTs
A bstractWe compute exact 2- and 3-point functions of chiral primaries in four-dimensional N$$ \mathcal{N} $$ = 2 superconformal field theories, including all perturbative and instanton
Generalized bootstrap equations for N=4$$ \mathcal{N}=4 $$ SCFT
A bstractWe study the consistency of four-point functions of half-BPS chiral primary operators of weight p in four-dimensional N=4$$ \mathcal{N}=4 $$ superconformal field theories. The resulting
N$$ \mathcal{N} $$ = 1 superconformal blocks for general scalar operators
A bstractWe use supershadow methods to derive new expressions for superconformal blocks in 4d N$$ \mathcal{N} $$ = 1 superconformal field theories. We analyze the four-point function A1A2†ℬ1ℬ2†$$
W$$ \mathcal{W} $$ symmetry in six dimensions
A bstractSix-dimensional conformal field theories with (2, 0) supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a two-dimensional chiral
Multi-instanton calculus in N=2 supersymmetric gauge theory.
  • Dorey, Khoze, Mattis
  • Physics, Medicine
    Physical review. D, Particles and fields
  • 1996
This work examines the instanton physics directly, in particular the contribution of the general self-dual solution of topological charge constructed by Atiyah, Drinfeld, Hitchin, and Manin (ADHM), and calculates the one- and two-instanton contributions to the low-energy Seiberg-Witten effective action.
The Large N Limit of ${\cal N} =2,1 $ Field Theories from Threebranes in F-theory
We consider field theories arising from a large number of D3-branes near singularities in F-theory. We study the theories at various conformal points, and compute, using their conjectured string
An Index for 4 Dimensional Super Conformal Theories
We present a trace formula for an index over the spectrum of four dimensional superconformal field theories on S3 ×  time. Our index receives contributions from states invariant under at least one