Krylov complexity, or K-complexity for short, has recently emerged as a new probe of chaos in quantum systems. It is measure operator growth space, which conjecturally bounds the measured by out time ordered correlator (OTOC). We study complexity conformal field theories considering arbitrary 2d CFTs, free field, and holographic models. find that bound on OTOC provided reduces to Maldacena, She...

Abstract Warped conformal field theories in two dimensions are exotic nonlocal, Lorentz violating characterized by Virasoro–Kac–Moody symmetries and have attracted a lot of attention as candidate boundary duals to warped AdS $$_3$$ 3 spacetimes, thereby expanding the scope ...

Abstract We provide a rigorous lattice approximation of conformal field theories given in terms fermions 1+1-dimensions, focussing on free fermion models and Wess–Zumino–Witten models. To this end, we utilize recently introduced operator-algebraic framework for Wilson–Kadanoff renormalization. In setting, prove the convergence Virasoro generators by Koo–Saleur formula. From this, deduce approxi...

Some years ago, Polyakov [1] proposed constructing all conformally invariant quan tum field theories by using the constraint of conformal invariance to make concrete the fundamental principles of quantum field theory. This is the conformal boots t rap program. Conformal field theories describe the universality classes of critical phenomena, or equivalently the short distance limits of quantum f...