Chaotic string dynamics in Bosonic $\eta$-deformed $AdS_5 \times T^{ 1,1}$ background

Jitendra Pal

Chaotic string dynamics in Bosonic $\eta$-deformed $AdS_5 \times T^{ 1,1}$ background

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arxiv 2304.10474 v3 pith:RD7Y34PL submitted 2023-04-20 hep-th

Jitendra Pal This is my paper · ORCID

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keywords classicaldeformeddynamicsbackgroundphasesemispacestring

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abstract

We investigate a new class of $\eta$-deformed $AdS_5 \times T^{1,1}$ backgrounds produced by $r$-matrices that satisfy the modified classical Yang-Baxter equation [Jour. High Ener. Phys. 03 (2022) 094]. We examine the classical phase space of these (semi)classical strings by numerically studying the dynamics of the string sigma models over this deformed background, and we compute several chaos signals. These involve figuring out the Poincar'e 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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