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Limit Cycles and Conformal Invariance · Around

2012

Limit Cycles and Conformal Invariance

Fortin, Jean-François, Grinstein, Benjamin, Stergiou, Andreas

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There is a widely held belief that conformal field theories (CFTs) require zero beta functions.

Nevertheless, the work of Jack and Osborn implies that the beta functions are not actually the quantites that decide conformality, but until recently no such behavior had been exhibited.
Our recent work has led to the discovery of CFTs with nonzero beta functions, more precisely CFTs that live on recurrent trajectories, e.g., limit cycles, of the beta-function vector field.
To demonstrate this we study the S function of Jack and Osborn.

Built on

J. Wess & B. Zumino,
1971
Earlier work this paper cites.
A. Zamolodchikov,
1986
Earlier work this paper cites.
J. Polchinski,
1988
Earlier work this paper cites.
J. L. Cardy,
1988
Earlier work this paper cites.
I. Jack & H. Osborn,
1990
Earlier work this paper cites.

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J.-F. Fortin, B. Grinstein, C. W. Murphy & A. Stergiou,
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Then

Z. Komargodski & A. Schwimmer,
Original
2011
Later among the works it cites.
J.-F. Fortin, B. Grinstein & A. Stergiou,
Original
2011
Later among the works it cites.
J.-F. Fortin, B. Grinstein & A. Stergiou,
Original
2012
Closest in time.
J.-F. Fortin, B. Grinstein & A. Stergiou,
Original
2012
Closest in time.

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