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Bootstrapping 3D fermions

delete2016-03-17
delete147
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OA
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L
Luca V. Iliesiu
K
Kos, Filip
D
David Poland *
S
Silviu S. Pufu
S
Simmons-Duffin, David *
Y
Yacoby, Ran *
DOI:10.1007/JHEP03(2016)120delete
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Abstract

Abstract

En 中文
We study the conformal bootstrap for a 4-point function of fermions in 3D. We first introduce an embedding formalism for 3D spinors and compute the conformal blocks appearing in fermion 4-point functions. Using these results, we find general bounds on the dimensions of operators appearing in the psi x psi OPE, and also on the central charge C (T) . We observe features in our bounds that coincide with scaling dimensions in the Gross-Neveu models at large N. We also speculate that other features could coincide with a fermionic CFT containing no relevant scalar operators.
Keywords:
Conformal and W Symmetry
Nonperturbative Effects
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Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
3.9W
Citations:
13.7W

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I
institute for advanced study - usa
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933
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P
Princeton University
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Y
Yale University
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Papers: 6.0W
Citations: 10.0W
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