Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2014-06

Gleb Arutyunov, Marius de Leeuw and Stijn J. van Tongeren


On the exact spectrum and mirror duality of the (AdS_5 x S^5)_\eta superstring


Abstract: We discuss the spectrum of a string propagating on η-deformed AdS 5 × S 5 by treating its world-sheet theory as an integrable quantum field theory. The exact S-matrix of this field theory is given by a q-deformation of the AdS 5 × S 5 world-sheet S-matrix with real deformation parameter. By considering mirror (double Wick-rotated) versions of these world-sheet theories we give the Thermodynamic Bethe Ansatz description of their exact finite size spectra `
a la Zamolodchikov. Interestingly, this class of models maps onto itself under the mirror transformation. At the level of the string this appears to say that the
light-cone world-sheet theories of strings on particular pairs of backgrounds are related by a double Wick rotation, a feature we call ‘mirror duality’.


Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), P-2014-06


36 pp.