2017/03/31 by Pawel Caputa, Paweł Caputa, Yuya Kusuki +2 · 22 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Compactification (mathematics) #Conformal map #Geometry #Irrational number #Mathematical analysis #Mathematical physics #Mathematics #Orbifold #Pure mathematics #Quantum many-body systems #Rational function #Twist #cond-mat.stat-mech #hep-th
paper · pdf · open access · doi:10.1103/physrevd.96.046020
published in Physical review. D/Physical review. D. 96(4) (American Physical Society) · 20 pages, 3 figures
openalex created_date 2017/04/07 · arxiv created 2017/06/01 · openalex publication_date 2017/08/30 · arxiv updated 2017/09/06 · openalex updated_date 2026/08/05
In this note we continue analysing the non-equilibrium dynamics in the (T2)n/ℤn orbifold conformal field theory. We compute the out-of-time-ordered four-point correlators with twist operators. For rational η (=p/q) which is the square of the compactification radius, we find that the correlators approach non-trivial constants at late time. For n=2 they are expressed in terms of the modular matrices and for higher n orbifolds are functions of pq and n. For irrational η, we find a new polynomial decay of the correlators that is a signature of an intermediate regime between rational and chaotic models.