Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
arXiv:1211.6090 · doi:10.1007/JHEP04(2013)006
Abstract
We study the leading quantum string correction to the dressing phase in the asymptotic Bethe Ansatz system for superstring in AdS_3 x S^3 x T^4 supported by RR flux. We find that the phase should be different from the BES phase appearing in the AdS_5 x S^5 case. We use the simplest example of a rigid circular string with two equal spins in S^3 and also consider the general approach based on the algebraic curve description. We also discuss the case of the AdS_3 x S^3 x S^3 x S^1 theory and find the dependence of the 1-loop correction to the effective string tension function h(λ) (expected to enter the magnon dispersion relation) on the parameters alpha related to the ratio of the two 3-sphere radii. This correction vanishes in the AdS_3 x S^3 x T^4 case.
34 pages; v2: typos fixed, references added, minor corrections; v3: some explanations and sect.4.4 are added; references added
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