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A Proof of the Conformal Collider Bounds

Diego M. Hofman
(
- Amsterdam U.
)
,
Daliang Li
(
- Johns Hopkins U.
)
,
David Meltzer
(
- Yale U.
)
,
David Poland
(
- Yale U. and
- Princeton, Inst. Advanced Study
)
,
Fernando Rejon-Barrera
(
- Amsterdam U.
)

Mar 11, 2016

42 pages

Published in:

JHEP 06 (2016) 111

Published: Jun 20, 2016

e-Print:

1603.03771 [hep-th]

DOI:

10.1007/JHEP06(2016)111

View in:

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Abstract: (Springer)

In this paper, we prove that the “conformal collider bounds” originally proposed in [1] hold for any unitary parity-preserving conformal field theory (CFT) with a unique stress tensor in dimensions d ≥ 3. In particular this implies that the ratio of central charges for a unitary 4d CFT lies in the interval

\frac{31}{18}\ge \frac{a}{c}\ge \frac{1}{3}

. For superconformal theories this is further reduced to

\frac{3}{2}\ge \frac{a}{c}\ge \frac{1}{2}

. The proof relies only on CFT first principles — in particular, bootstrap methods — and thus constitutes the first complete field theory proof of these bounds. We further elaborate on similar bounds for non-conserved currents and relate them to results obtained recently from deep inelastic scattering.

Note:

25 pages, 2 figures

AdS-CFT Correspondence
Conformal and W Symmetry
Field Theories in Higher Dimensions
Nonperturbative Effects
field theory: conformal
space-time: dimension
tensor: energy-momentum
symmetry: crossing
operator: differential
spin: high

References(86)

Figures(2)

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(
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)
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- CERN and
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(
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(
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(
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(
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(
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(
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)

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(
- Weizmann Inst.
)
,
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(
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)
,
Andrei Parnachev
(
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)
,
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(
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)

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(
- Stanford U., ITP
)
,
Jared Kaplan
(
- Johns Hopkins U. and
- Stanford U., ITP
)
,
David Poland
(
- Yale U.
)
,
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(
- Princeton, Inst. Advanced Study
)

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(
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)
,
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(
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)
,
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(
- Johns Hopkins U.
)

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(
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)

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A. Liam Fitzpatrick
(
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)
,
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(
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)
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(
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)
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(
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)

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Daliang Li
(
- Johns Hopkins U. and
- Yale U.
)
,
David Meltzer
(
- Yale U.
)
,
David Poland
(
- Yale U. and
- Princeton, Inst. Advanced Study
)

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•
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•
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