English

The complete AdS_3 x S^3 x T^4 worldsheet S-matrix

High Energy Physics - Theory 2015-06-19 v2

Abstract

We derive the non-perturbative worldsheet S matrix for fundamental excitations of Type IIB superstring theory on AdS_3 x S^3 x T^4 with Ramond-Ramond flux. To this end, we study the off-shell symmetry algebra of the theory and its representations. We use these to determine the S matrix up to scalar factors and we derive the crossing equations that these scalar factors satisfy. Our treatment automatically includes fundamental massless excitations, removing a long-standing obstacle in using integrability to study the AdS_3/CFT_2 correspondence. The present paper contains a detailed derivation of results first announced in arXiv:1403.4543.

Keywords

Cite

@article{arxiv.1406.0453,
  title  = {The complete AdS_3 x S^3 x T^4 worldsheet S-matrix},
  author = {Riccardo Borsato and Olof Ohlsson Sax and Alessandro Sfondrini and Bogdan Stefanski},
  journal= {arXiv preprint arXiv:1406.0453},
  year   = {2015}
}

Comments

76 pages. 2 figures. v2: added references and fixed some typos