We compute the one-loop worldsheet S-matrix for the superstring in AdS3 S3 T 4 supported by a combination of RR and NSNS flux in the massive sector. In the appropriate regularization scheme it agrees with the S-matrix found from symmetry considerations including the proposed dressing phases. As previously observed in other cases the massless modes decouple from the calculation of one-loop massive mode scattering. We also calculate the correction to the dispersion relation at two loops in the near-flat-space limit and find agreement with a proposal for the form of the exact dispersion relation for the massive modes. Somewhat surprisingly the massless modes again decouple from the calculation (in a suitable regularization scheme). We also compute the correction to the dispersion relation for the massless modes and compare to a suggestion for the exact dispersion relation, finding a small discrepancy. The corresponding calculations for AdS5 S 5 and AdS2 S2 T 6 are used for comparison.

Sundin, P., Wulff, L. (2015). One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 48(10), 1-24 [10.1088/1751-8113/48/10/105402].

One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux

Sundin, P;
2015

Abstract

We compute the one-loop worldsheet S-matrix for the superstring in AdS3 S3 T 4 supported by a combination of RR and NSNS flux in the massive sector. In the appropriate regularization scheme it agrees with the S-matrix found from symmetry considerations including the proposed dressing phases. As previously observed in other cases the massless modes decouple from the calculation of one-loop massive mode scattering. We also calculate the correction to the dispersion relation at two loops in the near-flat-space limit and find agreement with a proposal for the form of the exact dispersion relation for the massive modes. Somewhat surprisingly the massless modes again decouple from the calculation (in a suitable regularization scheme). We also compute the correction to the dispersion relation for the massless modes and compare to a suggestion for the exact dispersion relation, finding a small discrepancy. The corresponding calculations for AdS5 S 5 and AdS2 S2 T 6 are used for comparison.
Articolo in rivista - Articolo scientifico
High Energy Physics - Theory; High Energy Physics - Theory
English
2015
48
10
1
24
105402
none
Sundin, P., Wulff, L. (2015). One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 48(10), 1-24 [10.1088/1751-8113/48/10/105402].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/71973
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