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- W2038620344 abstract "We investigate the question of possible integrability of classical string motion in curved p-brane backgrounds. For example, the D3-brane metric interpolates between the flat and the AdS_5 x S^5 regions in which string propagation is integrable. We find that while the point-like string (geodesic) equations are integrable, the equations describing an extended string in the complete D3-brane geometry are not. The same conclusion is reached for similar brane intersection backgrounds interpolating between flat space and AdS_k x S^k. We consider, in particular, the case of the NS 5-brane-fundamental string background. To demonstrate non-integrability we make a special pulsating string ansatz for which the string equations reduce to an effective one-dimensional system. Expanding near this simple solution leads to a linear differential equation for small fluctuations that cannot be solved in quadratures, implying non-integrability of the original set of string equations." @default.
- W2038620344 created "2016-06-24" @default.
- W2038620344 creator A5032553491 @default.
- W2038620344 creator A5087034768 @default.
- W2038620344 date "2013-03-04" @default.
- W2038620344 modified "2023-10-16" @default.
- W2038620344 title "On (non)integrability of classical strings in<i>p</i>-brane backgrounds" @default.
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- W2038620344 doi "https://doi.org/10.1088/1751-8113/46/12/125401" @default.
- W2038620344 hasPublicationYear "2013" @default.
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