Abstract
In this paper, we investigate a new class of [Formula: see text]-deformed [Formula: see text] backgrounds produced by classical [Formula: see text]-matrices that satisfy the modified classical Yang–Baxter equation [JHEP 03, 094 (2022)]. We consider the string sigma model on [Formula: see text]-deformed [Formula: see text] background. We numerically examined the classical phase space dynamics of these (semi)classical strings over this deformed background and computed several chaos indicators. These involve figuring out the Poincaré section and computing the Lyapunov exponents. In the (semi)classical limit, we discover evidence that supports a non-integrable phase space dynamics.
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