Details

Autor(en) / Beteiligte

• Chagnet, Nicolas
• Chapman, Shira
• de Boer, Jan
• Zukowski, Claire

Titel

Complexity for Conformal Field Theories in General Dimensions

Ist Teil von

• Physical review letters, 2022-02, Vol.128 (5), p.051601-051601, Article 051601

Ort / Verlag

United States

Erscheinungsjahr

2022

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• We study circuit complexity for conformal field theory states in an arbitrary number of dimensions. Our circuits start from a primary state and move along a unitary representation of the Lorentzian conformal group. Different choices of distance functions can be understood in terms of the geometry of coadjoint orbits of the conformal group. We explicitly relate our circuits to timelike geodesics in anti-de Sitter space and the complexity metric to distances between these geodesics. We extend our method to circuits in other symmetry groups using a group theoretic generalization of the notion of coherent states.