Massive S-matrix of AdS₃ x S³ x T⁴ superstring theory with mixed 3-form flux

2013/04/30 by B. Hoare, A. A. Tseytlin · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2013.04.024

29 pages; v2: 30 pages, minor comments and references added; v3: minor corrections and comments added

arxiv created 2013/05/23 · arxiv updated 2015/06/15

Abstract

The type IIB supergravity AdS₃ x S³ x T⁴ background with mixed RR and NSNS 3-form fluxes is a near-horizon limit of a non-threshold bound state of D5-D1 and NS5-NS1 branes. The corresponding superstring world-sheet theory is expected to be integrable, opening the possibility of computing its exact spectrum for any values of the coefficient q of the NSNS flux and the string tension. In arXiv:1303.1447 we have found the tree-level S-matrix for the massive BMN excitations in this theory, which turned out to have a simple dependence on q. Here, by analyzing the constraints of symmetry and integrability, we propose an exact massive-sector dispersion relation and the exact S-matrix for this world-sheet theory. The S-matrix generalizes its recent construction in the q=0 case in arXiv:1303.5995.

Citations

• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• The all-loop integrable spin-chain for strings on AdS3 × S 3 × T 4: the massive sector

Cited by

• Giant magnon solution and dispersion relation in string theory in AdS₃ x S³ x T⁴ with mixed flux