Correlation functions of Coulomb branch operators
By Efrat Gerchkovitz, Joaquim Gomis, Nafiz Ishtiaque, A. Karasik, Z. Komargodski, Silviu S. Pufu. 2016
168 citations recorded by the source corpus.
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. These extremal correlators are the “minimal” non-holomorphic local observables in the theory. We show that they can be expressed in terms of certain determinants of derivatives of the four-sphere partition function of an appropriate deformation of the SCFT. This relation between the extremal correlators and the deformed four-sphere partition function is non-trivial due to the presence of conformal anomalies, which lead to operator mixing on the sphere. Evaluating the deformed four-sphere partition function using supersymmetric localization, we compute the extremal correlators explicitly in many interesting examples. Additionally, the representation of the extremal correlators mentioned above leads to a system of integrable differential equations. We compare our exact results with previous perturbative computations and with the four-dimensional tt∗ equations. We also use our results to study some of the asymptotic properties of the perturbative series expansions we obtain in N$$ \mathcal{N} $$ = 2 SQCD.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/d82d2e95d0f7461a27b40c3035656b7bad8c211e
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In Nuclear and High Energy Physics
- Shai M. Chester
- Yifan Wang
- Silviu S. Pufu
- Damon J. Binder
- Marcos Mariño
- I. Klebanov
- S. Hartnoll
- S. Gubser
Citations in the corpus
- $$ \mathcal{N} $$ = 4 Super-Yang-Mills correlators at strong coupling from string theory and localization (2019, methodology): “ifor p>2. In this case, the 10d at space scattering amplitude determines B4 4 , B 5 5 , and B 6 6;i as before, and a generalization of Pestun’s supersymmetric localization computation developed in [49] can be used to determine B4 4 , B 5 4 , as well as a linear combination of B 6 4 , B 6 5 , and ”