On the four-point function of the stress-energy tensors in a CFTReport as inadecuate




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Journal of High Energy Physics

, 2015:75

First Online: 12 October 2015Received: 26 June 2015Revised: 13 August 2015Accepted: 16 September 2015 Abstract

We discuss to what extent the full set of Ward Identities constrain the four-point function of the stress-energy tensors or conserved currents in a conformal field theory. We calculate the number of kinematically unrestricted functional degrees of freedom governing the corresponding correlators and find that it matches the number of functional degrees of freedom governing scattering amplitudes of some -dual- massless particles in the auxiliary Minkowski space. We also formulate the conformal bootstrap constraints for the correlators in question in terms of only unrestricted degrees of freedom. As a by-product we find interesting parallels between solving Ward Identities in coordinate and momentum space.

KeywordsConformal and W Symmetry Conformal Field Models in String Theory ArXiv ePrint: 1311.4546

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Author: Anatoly Dymarsky

Source: https://link.springer.com/



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