N$$ \mathcal{N} $$ = 4 superconformal bootstrap of the K3 CFT

  title={N\$\$ \mathcal\{N\} \$\$ = 4 superconformal bootstrap of the K3 CFT},
  author={Ying-Hsuan Lin and Shu-Heng Shao and David Simmons-Duffin and Y. Wang and Xi Yin},
  journal={Journal of High Energy Physics},
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 made possible through a surprising relation between the BPS N$$ \mathcal{N} $$ = 4 superconformal blocks with c = 6 and bosonic Virasoro conformal blocks with c = 28, and an exact result on the moduli dependence of a certain integrated BPS 4-point function. Nontrivial bounds on the non-BPS spectrum in… 

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

Carving out the end of the world or (superconformal bootstrap in six dimensions)

A bstractWe bootstrap N=10$$ \mathcal{N}=\left(1,0\right) $$ superconformal field theories in six dimensions, by analyzing the four-point function of flavor current multiplets. Assuming E8 flavor

2d $\cN=4$ superconformal bootstrap

We study 2d $\cN=4$ superconformal field theories, focusing on its application on numerical bootstrap study. We derive the superconformal block by utilizing the global part of the super Virasoro

Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD

We derive exact relations between certain integrals of the conserved flavor current four point function in 4d N = 2 conformal field theories (CFTs) and derivatives of the mass deformed sphere free

Solving M-theory with the conformal bootstrap

A bstractWe use the conformal bootstrap to perform a precision study of 3d maximally supersymmetric (N=8$$ \mathcal{N}=8 $$) SCFTs that describe the IR physics on N coincident M2-branes placed either

3d $$ \mathcal{N} $$ = 4 OPE coefficients from Fermi gas

The partition function of a 3d $\mathcal{N}=4$ gauge theory with rank $N$ can be computed using supersymmetric localization in terms of a matrix model, which often can be formulated as an ideal Fermi

(2, 2) superconformal bootstrap in two dimensions

A bstractWe find a simple relation between two-dimensional BPS N=2$$ \mathcal{N}=2 $$ superconformal blocks and bosonic Virasoro conformal blocks, which allows us to analyze the crossing equations

Bootstrapping $\mathcal{N}=4$ super-Yang-Mills on the conformal manifold

We combine supersymmetric localization results with numerical bootstrap techniques to compute upper bounds on the low-lying CFT data of N = 4 super-Yang-Mills theory as a function of the complexified

Bootstrapping Coulomb and Higgs branch operators

We apply the numerical conformal bootstrap to correlators of Coulomb and Higgs branch operators in 4 d N $$ \mathcal{N} $$ = 2 superconformal theories. We start by revisiting previous results on

Charting the space of 3D CFTs with a continuous global symmetry

A bstractWe study correlation functions of a conserved spin-1 current Jμ in three dimensional Conformal Field Theories (CFTs). We investigate the constraints imposed by permutation symmetry and



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

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

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

Exact correlators of BPS Operators from the 3d superconformal bootstrap

A bstractWe use the superconformal bootstrap to derive exact relations between OPE coefficients in three-dimensional superconformal field theories with N≥4$$ \mathcal{N}\ge 4 $$ supersymmetry. These

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

Bootstrapping SCFTs with four supercharges

A bstractWe study the constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in spacetime dimension 2 ≤ d ≤ 4. We show how superconformal

Bounds on 4D conformal and superconformal field theories

We derive general bounds on operator dimensions, central charges, and OPE coefficients in 4D conformal and $ \mathcal{N} = 1 $ superconformal field theories. In any CFT containing a scalar primary ϕ

Accidental symmetries and the conformal bootstrap

A bstractWe study an N=2$$ \mathcal{N}=2 $$ supersymmetric generalization of the three-dimensional critical O(N) vector model that is described by N + 1 chiral superfields with superpotential W =

A Hiker's Guide to K3.¶Aspects of N= (4,4) Superconformal Field Theory¶with Central Charge c= 6

Abstract: We study the moduli space ℳ of N=(4,4) superconformal field theories with central charge c= 6. After a slight emendation of its global description we find the locations of various known

Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$c-Minimization and Precise Critical Exponents

We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central charge $$c$$c in

Bootstrapping $O(N)$ vector models in 4 $< d <$ 6

We use the conformal bootstrap to study conformal field theories with $O(N)$ global symmetry in $d=5$ and $d=5.95$ spacetime dimensions that have a scalar operator $\phi_i$ transforming as an $O(N)$