Complexity from spinning primaries

A bstract We define circuits given by unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions. Our circuits start from a spinning primary state, allowing us to generalize formulas for the circuit complexity obtained from circuits starting from scalar primary states. These...

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Bibliographic Details
Published in:The journal of high energy physics 2021-12, Vol.2021 (12), p.1-27, Article 30
Main Authors: de Mello Koch, Robert, Kim, Minkyoo, Van Zyl, Hendrik J. R.
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Circuits
Classical and Quantum Gravitation
Complexity
Conformal Field Theory
Conjugate points
Elementary Particles
Field theory
Geometry
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract We define circuits given by unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions. Our circuits start from a spinning primary state, allowing us to generalize formulas for the circuit complexity obtained from circuits starting from scalar primary states. These results are nicely reproduced in terms of the geometry of coadjoint orbits of the conformal group. In contrast to the complexity geometry obtained from scalar primary states, the geometry is more complicated and the existence of conjugate points, signaling the saturation of complexity, remains open.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2021)030