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2015

Analytic bootstrap at large spin

Kaviraj, Apratim, Sen, Kallol, Sinha, Aninda

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We use analytic conformal bootstrap methods to determine the anomalous dimensions and OPE coefficients for large spin operators in general conformal field theories in four dimensions containing a scalar operator of conformal dimension $\Delta_\phi$.

It is known that such theories will contain an infinite sequence of large spin operators with twists approaching $2\Delta_\phi+2n$ for each integer $n$.
By considering the case where such operators are separated by a twist gap from other operators at large spin, we analytically determine the $n$, $\Delta_\phi$ dependence of the anomalous dimensions.
We find that for all $n$, the anomalous dimensions are negative for $\Delta_\phi$ satisfying the unitarity bound.

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O. Nachtmann, Nucl. Phys. B 63
1973
Earlier work this paper cites.
C. Beem, L. Rastelli and F. Passerini, Phys. Rev. Lett. 111
2001
Earlier work this paper cites.
G. Arutyunov, F. A. Dolan, H. Osborn and E. Sokatchev, Nucl. Phys. B 665
2003
Earlier work this paper cites.
F. A. Dolan and H. Osborn, Nucl. Phys. B 629
2006
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, JHEP 0711
Original
2007
Earlier work this paper cites.
L. Cornalba, M. S. Costa and J. Penedones, JHEP 0709
Original
2007
Earlier work this paper cites.

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