Preprint 2015-06
Riccardo Borsato, Olof Ohlsson Sax, Alessandro Sfondrini and Bogdan Stefanski jr.
The AdS_3 x S³ x S³ x S¹ worldsheet S matrix.
Abstract: We investigate type IIB strings on AdS3×S3×S3×S1 with mixed Ramond-Ramond (R-R) and Neveu-Schwarz-Neveu-Schwarz (NS-NS) flux. By suitably gauge-fixing
the closed string Green-Schwarz (GS) action of this theory, we derive the off-shell symmetry algebra and its representations. We use these to determine the nonperturbative 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.
Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2015-06
42 pp.