Liouville action as path-integral complexity: from continuous tensor networks to AdS/CFT

Liouville action as path-integral complexity: from continuous tensor networks to AdS/CFT

Abstract We propose an optimization procedure for Euclidean path-integrals that evaluate CFT wave functionals in arbitrary dimensions. The optimization is performed by minimizing certain functional, which can be interpreted as a measure of computational complexity, with respect to background metrics...

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Bibliographic Details
Main Authors: Pawel Caputa, Nilay Kundu, Masamichi Miyaji, Tadashi Takayanagi, Kento Watanabe
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Journal of High Energy Physics
Subjects:
AdS-CFT Correspondence
Anomalies in Field and String Theories
Conformal Field Theory
Holography and condensed matter physics (AdS/CMT)
Online Access:http://link.springer.com/article/10.1007/JHEP11(2017)097

Internet

http://link.springer.com/article/10.1007/JHEP11(2017)097

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