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Pure contact term correlators in CFT · Around

2015

Pure contact term correlators in CFT

Bonora, Loriano, de Souza, Bruno Lima

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We discuss the case of correlators in CFT made of pure contact terms, without a corresponding bare part.

We show two examples.
The first is provided by the conformal limits of a free massive fermion theory in 3d.
We show that the (conserved) current correlators are in one-to-one correspondence with the terms of the 3d gauge CS action.

Built on

S. M. Christensen and M. J. Duff, New gravitational index theorems and super theorems
1979
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K. S. Babu, A. K. Das and P. Panigrahi, Derivative Expansion and the Induced Chern-simons Term at Finite Temperature in (2+1)-dimensions,
1987
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Cyril Closset, Thomas T. Dumitrescu, Guido Festuccia, Zohar Komargodski, and Nathan Seiberg, Comments on Chern-Simons Contact Terms in Three Dimensions , JHEP 1209
2012
Earlier work this paper cites.
Y. S. Stanev, Correlation Functions of Conserved Currents in Four Dimensional Conformal Field Theory
Original
2012
Earlier work this paper cites.

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Then

L. Bonora, S. Giaccari and B. L. D. Souza, Revisiting Trace Anomalies in Chiral Theories,
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Later among the works it cites.
L. Bonora, A. D. Pereira and B. L. de Souza, Regularization of energy-momentum tensor correlators and parity-odd terms,
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S. Mauro and I. L. Shapiro, Anomaly-induced effective action and Chern-��Simons modification of general relativity,
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