Spinning conformal blocks

For conformal field theories in arbitrary dimensions, we introduce a method to derive the conformal blocks corresponding to the exchange of a traceless symmetric tensor appearing in four point functions of operators with spin. Using the embedding space formalism, we show that one can express all such conformal blocks in terms of simple differential operators acting on the basic scalar conformal blocks. This method gives all conformal blocks for conformal field theories in three dimensions. We demonstrate how this formalism can be applied in a few simple examples.


Published in:
Journal Of High Energy Physics, 11, 154
Year:
2011
Publisher:
New York, Springer
ISSN:
1029-8479
Keywords:
Laboratories:




 Record created 2016-03-31, last modified 2018-09-13


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