Pulsating strings on $(AdS_3 \times S^3)_\varkappa$

Understand

We derive the energy of pulsating strings as a function of adiabatic invariant oscillation number, which oscillates in $S^2_{\varkappa}$.

• We find similar solutions for the strings oscillating in deformed $AdS_3$.
• Furthermore, we generalize the result to the oscillating strings in anti-de Sitter space in the presence of extra angular momentum in $(AdS_3 \times S^1)_\varkappa$.