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

@article{Lin2015N,
  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},
  year={2015},
  volume={2017},
  pages={1-52}
}
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… 

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References

SHOWING 1-10 OF 104 REFERENCES

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 $O(N)$
...