One-loop quantization of rigid spinning strings in $AdS_3 \times S^3 \times T^4$ with mixed flux

Juan Miguel Nieto; Roberto Ruiz

doi:10.1007/jhep07(2018)141

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arXiv · 1804.10477

One-loop quantization of rigid spinning strings in $AdS_3 \times S^3 \times T^4$ with mixed flux

Juan Miguel Nieto·Roberto Ruiz

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Abstract

We compute the one-loop correction to the classical dispersion relation of rigid closed spinning strings with two equal angular momenta in the $AdS_3 \times S^3 \times T^4$ background supported with a mixture of R-R and NS-NS three-form fluxes. This analysis is extended to the case of two arbitrary angular momenta in the pure NS-NS limit. We perform this computation by means of two different methods. The first method relies on the Euler-Lagrange equations for the quadratic fluctuations around the classical solution, while the second one exploits the underlying integrability of the problem through the finite-gap equations. We find that the one-loop correction vanishes in the pure NS-NS limit.

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Juan Miguel Nieto, Roberto Ruiz. 2018-07-27. One-loop quantization of rigid spinning strings in $AdS_3 \times S^3 \times T^4$ with mixed flux. https://doi.org/10.1007/jhep07(2018)141

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