Topological Anti-Topological Fusion in Four-Dimensional Superconformal Field Theories

Details Topological Anti-Topological Fusion in Four-Dimensional Superconformal Field Theories Topological Anti-Topological Fusion in Four-Dimensional Superconformal Field Theories

2009-10-27

arxiv.org/abs/0910.4963v2

JHEP 1008:118,2010

Physics

High Energy Physics

High Energy Physics - Theory

43 pages (29 pages + 4 appendices), 2 figures, harvmac, v2: fixed typos, improved some derivations, numerical coefficients in

Scientific paper

10.1007/JHEP08(2010)118

We present some new exact results for general four-dimensional superconformal field theories. We derive differential equations governing the coupling constant dependence of chiral primary correlators. For N=2 theories we show that the Zamolodchikov metric on the moduli space and the operator mixing of chiral primaries are quasi-topological quantities and constrained by holomorphy. The equations that we find are the four-dimensional analogue of the tt* equations in two-dimensions, discovered by the method of "topological anti-topological fusion" by Cecotti and Vafa. Our analysis relies on conformal perturbation theory and the superconformal Ward identities and does not use a topological twist.

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