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The AdS 3 × S 3 × S 3 × S 1 worldsheet S matrix

Borsato, R., Ohlsson Sax, O., Sfondrini, A. & Stefanski, B. (2015). The AdS 3 × S 3 × S 3 × S 1 worldsheet S matrix. Journal of Physics A: Mathematical and Theoretical, 48(41), article number 415401. doi: 10.1088/1751-8113/48/41/415401


We investigate type IIB strings on AdS 3 × S 3 × S 3 × S 1 with mixed Ramond–Ramond and Neveu–Schwarz–Neveu–Schwarz flux. By suitably gauge-fixing the closed string Green–Schwarz action of this theory, we derive the off-shell symmetry algebra and its representations. We use these to determine the non-perturbative worldsheet S matrix of fundamental excitations in the theory. The analysis involves both massive and massless modes in complete generality. The S matrix we find involves a number of phase factors, which in turn satisfy crossing equations that we also determine. We comment on the nature of the heaviest modes of the theory, but leave their identification either as composites or bound-states to a future investigation.

Publication Type: Article
Additional Information: This is an author-created, un-copyedited version of an article accepted for publication in Journal of Physics A: Mathematical and Theoretical. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology > Mathematics
SWORD Depositor:
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