# 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} }

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…

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## References

SHOWING 1-10 OF 55 REFERENCES

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

- Mathematics, Physics
- 2015

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

- Mathematics, Physics
- 2014

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

- Mathematics
- 2012

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

- Mathematics
- 2016

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

- Mathematics
- 2015

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

- Mathematics, Physics
- 2014

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

- Physics
- 2013

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

- Mathematics
- 2015

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

- Mathematics, Physics
- 2016

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

- Mathematics, Physics
- 2015

: 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…