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The (so-called) duality symmetry of closed strings with d compactified dimensions is reformulated
in geometrical terms as an invariance under a particular Z 2 transformation acting on (…

We apply a notion of quantum complexity, called “Krylov complexity”, to study the evolution of
systems from integrability to chaos. For this purpose we investigate the integrable XXZ spin …

We study phase transitions in the lattice version of the abelian Higgs model, a model which
can exhibit both spontaneous symmetry breaking and confinement. When the Higgs charge …

Heisenberg time evolution under a chaotic many-body Hamiltonian H transforms an initially
simple operator into an increasingly complex one, as it spreads over Hilbert space. Krylov …

Nearly flat bosonic string vacua are examined. An analogy between compactification in string
theory with tachyonic condensation and the Landau theory of solidification is pointed out. A …

We investigate the phase structure of Z p lattice gauge models in 4 dimensions in the presence
of a θ-parameter. In this system Witten's result that monopoles acquire a fractional charge …

There are various definitions of the concept of complexity in Quantum Field Theory as well
as for finite quantum systems. For several of them there are conjectured holographic bulk …

Quantum complexity, suitably defined, has been suggested as an important probe of late-time
dynamics of black holes, particularly in the context of AdS/CFT. A notion of quantum …

We estimate the very long time behaviour of correlation functions in the presence of eternal
black holes. It was pointed out by Maldacena [2] that their vanishing would lead to a violation …