Abstract
We consider the three-parameter integrable deformation of the AdS3 × S3 superstring background constructed in arXiv:1811.00453. Working on the string worldsheet in uniform lightcone gauge, we find the tree-level bosonic S matrix of the model and study some of its limits.
Highlights
While the AdS5 × S5 is supported by a RamondRamond (RR) flux, the AdS3 × S3 backgrounds may be supported by a combination of RR and Neveu-Schwarz-Neveu-Schwarz (NSNS) fluxes, effectively yielding a one-parameter family of backgrounds with “mixed fluxes”, all classically integrable [11]
In the case of inhomogeneous YangBaxter deformations of AdS5 × S5 it was found [52] that the original symmetry is deformed to a quantum-group symmetry of the type proposed by Beisert and Koroteev [53]
Let us consider a new set of coordinates by setting ρ = (X1)2 + (X2)2, r = (X3)2 + (X4)2, X2 ψ = − atan X1, X4 φ = + atan X3. The advantage of this choice of coordinates is that X1 and X2 can be more readily used to construct charge eigenstates under the u(1) symmetry generated by ψ and as such they will be easier to relate to the fundamental excitations scattered by the S matrix
Summary
From the construction or ref. [38] one can find the bosonic action by putting the Fermions to zero. The third parameter q accommodates the possibility of modifying the action by adding a Wess-Zumino term. Sending χ± → 0 while tuning q → 0 one may recover the action of the sl(2) ⊕ su(2) Wess-Zumino-Witten model, or more generally the action of the “mixed flux” AdS3 × S3 background. To this end, we want to send χ± → 0 and q → 0 in such a way that aq has a finite, non-zero limit — aq → q/2, where 0 < q ≤ 1 measures the amount of NSNS fluxes relative to the RR ones [38]
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