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2016

The holographic F theorem

Taylor, Marika, Woodhead, William

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The F theorem states that, for a unitary three dimensional quantum field theory, the F quantity defined in terms of the partition function on a three sphere is positive, stationary at fixed point and decreases monotonically along a renormalization group flow.

We construct holographic renormalization group flows corresponding to relevant deformations of three-dimensional conformal field theories on spheres, working to quadratic order in the source.
For these renormalization group flows, the F quantity at the IR fixed point is always less than F at the UV fixed point, but F increases along the RG flow for deformations by operators of dimension $3/2 < \Delta < 5/2$.
Therefore the strongest version of the F theorem is in general violated.

The holographic F theorem · Around

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S. W. Hawking, Phys. Lett. B 126
1983
Earlier work this paper cites.
I. R. Klebanov and E. Witten, Nucl. Phys. B556
1999
Earlier work this paper cites.
S. de Haro, K. Skenderis and S. N. Solodukhin, Communications in Mathematical Physics 217
2001
Earlier work this paper cites.
I. Papadimitriou, JHEP 02
2007
Earlier work this paper cites.
D. L. Jafferis, I. R. Klebanov, S. S. Pufu and B. R. Safdi, JHEP 06
Original
2011
Earlier work this paper cites.
I. R. Klebanov, S. S. Pufu and B. R. Safdi, JHEP 10
Original
2011
Earlier work this paper cites.
C. P. Herzog, I. R. Klebanov, S. S. Pufu and T. Tesileanu, Phys. Rev. D 83
Original
2011
Earlier work this paper cites.

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H. Casini and M. Huerta, Phys. Rev. D85

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I. R. Klebanov, T. Nishioka, S. S. Pufu and B. R. Safdi, JHEP 07

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Cited alongside, same era.

E. Witten, arXiv:hep-th/0112258

Cited in the paper.

M. Taylor and W. Woodhead, arXiv:1604.xxxxx

Cited in the paper.

H. Casini, M. Huerta, R. C. Myers and A. Yale, JHEP 1510

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