On exact correlation functions of chiral ring operators in 2dN=2,2$$ \mathcal{N}=\left(2,\ 2\right) $$ SCFTs via localization

@article{Chen2017OnEC,
  title={On exact correlation functions of chiral ring operators in 2dN=2,2\$\$ \mathcal\{N\}=\left(2,\ 2\right) \$\$ SCFTs via localization},
  author={Jin Xiu Chen},
  journal={Journal of High Energy Physics},
  year={2017},
  volume={2018},
  pages={1-54}
}
  • J. Chen
  • Published 4 December 2017
  • Mathematics
  • Journal of High Energy Physics
A bstractWe study the extremal correlation functions of (twisted) chiral ring operators via superlocalization in N=2,2$$ \mathcal{N}=\left(2,\ 2\right) $$ superconformal field theories (SCFTs) with central charge c ≥ 3, especially for SCFTs with Calabi-Yau geometric phases. We extend the method in arXiv: 1602.05971 with mild modifications, so that it is applicable to disentangle operators mixing on S2 in nilpotent (twisted) chiral rings of 2d SCFTs. With the extended algorithm and technique of… 
5 Citations

Giant Wilson loops and AdS2/dCFT1

The 1/2-BPS Wilson loop in $\mathcal{N}=4$ supersymmetric Yang-Mills theory is an important and well-studied example of conformal defect. In particular, much work has been done for the correlation

2D BPS rings from sphere partition functions

A bstractWe consider extremal correlation functions, involving arbitrary number of BPS (chiral or twisted chiral) operators and exactly one anti-BPS operator in 2D N$$ \mathcal{N} $$ = (2, 2)

Extremal correlators and random matrix theory

We study the correlation functions of Coulomb branch operators of four-dimensional $\mathcal{N} = 2$ Superconformal Field Theories (SCFTs). We focus on rank-one theories, such as the SU(2) gauge

Twisted massive non-compact models

A bstractWe study interacting massive N = (2, 2) supersymmetric field theories in two dimensions which arise from deforming conformal field theories with a continuous spectrum. Firstly, we deform N =

Remarks on the Novikov-Shifman-Vainshtein-Zakahrov β functions in two-dimensional N=(0,2) supersymmetric models

The NSVZ $\beta$ functions in two-dimensional $\mathcal N=(0,2)$ supersymmetric models are revisited. We construct and discuss a broad class of such models using the gauge formulation. All of them

References

SHOWING 1-10 OF 55 REFERENCES

On exact correlation functions in SU(N) N=2$$ \mathcal{N}=2 $$ superconformal QCD

A bstractWe consider the exact coupling constant dependence of extremal correlation functions of N=2$$ \mathcal{N}=2 $$ chiral primary operators in 4d N=2$$ \mathcal{N}=2 $$ superconformal gauge

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

Two-Sphere Partition Functions and Gromov–Witten Invariants

Many $${\mathcal{N}=(2,2)}$$N=(2,2) two-dimensional nonlinear sigma models with Calabi–Yau target spaces admit ultraviolet descriptions as $${\mathcal{N}=(2,2)}$$N=(2,2) gauge theories (gauged linear

Shortening anomalies in supersymmetric theories

A bstractWe present new anomalies in two-dimensional N=22$$ \mathcal{N}=\left(2,2\right) $$ superconformal theories. They obstruct the shortening conditions of chiral and twisted chiral multiplets at

Anomalies, conformal manifolds, and spheres

A bstractThe two-point function of exactly marginal operators leads to a universal contribution to the trace anomaly in even dimensions. We study aspects of this trace anomaly, emphasizing its

Sphere partition functions and the Zamolodchikov metric

A bstractWe study the finite part of the sphere partition function of d-dimensional Conformal Field Theories (CFTs) as a function of exactly marginal couplings. In odd dimensions, this quantity is

Exact results in D = 2 supersymmetric gauge theories

A bstractWe compute exactly the partition function of two dimensional $ \mathcal{N} $ = (2, 2) gauge theories on S2 and show that it admits two dual descriptions: either as an integral over the

The equivariant A-twist and gauged linear sigma models on the two-sphere

A bstractWe study two-dimensional N=2,2$$ \mathcal{N}=\left(2,\;2\right) $$ supersymmetric gauged linear sigma models (GLSM) on the Ω-deformed sphere, SΩ2, which is a one-parameter deformation of the

Correlation functions of Coulomb branch operators

A bstractWe consider the correlation functions of Coulomb branch operators in four-dimensional N$$ \mathcal{N} $$ = 2 Superconformal Field Theories (SCFTs) involving exactly one antichiral operator.

On exact correlation functions in SU( N ) N = 2 superconformal QCD

: We consider the exact coupling constant dependence of extremal correlation functions of N = 2 chiral primary operators in 4d N = 2 superconformal gauge theories with gauge group SU( N ) and N f = 2
...