Special Conformal Transformations and Contact Terms

Conference paper
First Online:
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 191)

Abstract

In this contribution I construct the Ward identity of special conformal transformations in momentum space and discuss some of its consequences on conformal field theory correlators. I show a few examples of covariant correlators in dimension 2 and 3 dimensions and in particular of those made of pure contact terms. I discuss in some detail the odd parity correlator in 3d and its connection with the gravitational Chern–Simons theory in 3d.

Keywords

Momentum Space Ward Identity Conformal Field Theory Contact Term Conformal Algebra 
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Notes

Acknowledgements

I would like to thank Bruno Lima de Souza for allowing me to use common research material. I would like to thank Vladimir Dobrev, Ivan Todorov and Nikolai Nikolov for hospitality, discussions and suggestions.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2016

Authors and Affiliations

  1. 1.International School for Advanced Studies (SISSA)Trieste and INFN, Sezione di TriesteTriesteItaly

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