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arXiv · 1707.07172

Analytic integrability for strings on $ η$ and $ λ$ deformed backgrounds

Dibakar Roychowdhury
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Abstract

In this paper, based on simple analytic techniques, we explore the integrability conditions for classical stringy configurations defined over $ η$ as well as $ λ$- deformed backgrounds. We perform our analysis considering classical string motions within various subsectors of the full target space geometry. It turns out that classical string configurations defined over $ η$- deformed backgrounds are non-integrable whereas on the other hand, the corresponding configurations are integrable over the $ λ$- deformed background. Our analysis therefore imposes a strong constraint on the operator spectrum associated with the corresponding dual gauge theories at strong coupling.

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Dibakar Roychowdhury. 2017-09-20. Analytic integrability for strings on $ η$ and $ λ$ deformed backgrounds. https://doi.org/10.1007/jhep10(2017)056

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