tt* equations, localization and exact chiral rings in 4d N =2 SCFTs
OPEN ACCESS
Loading...
Author / Producer
Date
2015-02
Publication Type
Journal Article
ETH Bibliography
yes
Citations
Altmetric
OPEN ACCESS
Data
Rights / License
Abstract
We compute exact 2- and 3-point functions of chiral primaries in four-dimensional N = 2 superconformal field theories, including all perturbative and instanton contributions. We demonstrate that these correlation functions are nontrivial and satisfy exact differential equations with respect to the coupling constants. These equations are the analogue of the tt * equations in two dimensions. In the SU(2) N = 2 SYM theory coupled to 4 hypermultiplets they take the form of a semi-infinite Toda chain. We provide the complete solution of this chain using input from supersymmetric localization. To test our results we calculate the same correlation functions independently using Feynman diagrams up to 2-loops and we find perfect agreement up to the relevant order. As a spin-off, we perform a 2-loop check of the recent proposal of arXiv:1405.7271 that the logarithm of the sphere partition function in N = 2 SCFTs determines the Kähler potential of the Zamolodchikov metric on the conformal manifold. We also present the tt * equations in general SU(N) N = 2 superconformal QCD theories and comment on their structure and implications.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
2015 (2)
Pages / Article No.
122
Publisher
Springer
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Supersymmetric gauge theory; Extended Supersymmetry; Nonperturbative Effects
Organisational unit
03657 - Gaberdiel, Matthias / Gaberdiel, Matthias