Sparseness bounds on local operators in holographic CFTd

@article{Mefford2018SparsenessBO,
  title={Sparseness bounds on local operators in holographic CFTd},
  author={Eric Mefford and Edgar Shaghoulian and Milind Shyani},
  journal={Journal of High Energy Physics},
  year={2018},
  volume={2018},
  pages={1-28}
}
A bstractWe use the thermodynamics of anti-de Sitter gravity to derive sparseness bounds on the spectrum of local operators in holographic conformal field theories. The simplest such bound is ρΔ≲exp2πΔd−1$$ \rho \left(\varDelta \right)\lesssim \exp \left(\frac{2\pi \Delta}{d-1}\right) $$ for CFTd. Unlike the case of d = 2, this bound is strong enough to rule out weakly coupled holographic theories. We generalize the bound to include spins Ji and U(1) charge Q, obtaining bounds on ρ(Δ, Ji, Q) in… 

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References

SHOWING 1-10 OF 50 REFERENCES

Detachable circles and temperature-inversion dualities for CFTd

A bstractWe use a Weyl transformation between S1 × Sd−1 and S1×ℋd−1/ℤ$$ {S}^1\times {\mathrm{\mathscr{H}}}^{d-1}/\mathbb{Z} $$ to relate a conformal field theory at arbitrary temperature on Sd−1 to

Universal spectrum of 2d conformal field theory in the large c limit

A bstractTwo-dimensional conformal field theories exhibit a universal free energy in the high temperature limit T → ∞, and a universal spectrum in the Cardy regime, Δ → ∞. We show that a much

Semiclassics, Goldstone bosons and CFT data

A bstractHellerman et al. (arXiv:1505.01537) have shown that in a generic CFT the spectrum of operators carrying a large U(1) charge can be analyzed semiclassically in an expansion in inverse powers

Universality of sparse d > 2 conformal field theory at large N

A bstractWe derive necessary and sufficient conditions for large N conformal field theories to have a universal free energy and an extended range of validity of the higher-dimensional Cardy formula.

Holography from Conformal Field Theory

The locality of bulk physics at distances below the AdS length scale is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large

Modular forms and a generalized Cardy formula in higher dimensions

We derive a formula which applies to conformal field theories on a spatial torus and gives the asymptotic density of states solely in terms of the vacuum energy on a parallel plate geometry. The

On the Holographic Principle in a Radiation Dominated Universe

The holographic principle is studied in the context of a $n+1$ dimensional radiation dominated closed Friedman-Robertson-Walker (FRW) universe. The radiation is represented by a conformal field

Black holes from CFT: universality of correlators at large c

A bstractTwo-dimensional conformal field theories at large central charge and with a sufficiently sparse spectrum of light states have been shown to exhibit universal thermodynamics [1]. This

On the CFT operator spectrum at large global charge

A bstractWe calculate the anomalous dimensions of operators with large global charge J in certain strongly coupled conformal field theories in three dimensions, such as the O(2) model and the

On type IIA Penrose limit and = 6 Chern-Simons theories

Recently, Aharony, Bergman, Jafferis and Maldacena proposed that the = 6 Chern-Simons gauge theories are holographically dual to the M-theory backgrounds with multiple M2-branes on orbifolds C4/Zk.