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

Preprint 2014-12

Gleb Arutyunov, Stijn J. van Tongeren

 

The AdS5 x S5 mirror model as a string

 

Abstract: Doing a double Wick rotation in the worldsheet theory of the AdS5 × S5 light cone superstring results in an inequivalent, so-called mirror theory that plays a central role in the field of integrability in AdS/CFT. We show that this mirror theory can be interpreted as the light cone theory of a free string on a different background. Interestingly, this background is formally related to dS5 × H5 by a double T-duality, and moreover has hidden supersymmetry. The geometry follows from simple
considerations regarding generic bosonic light cone string actions, but can also be extracted from an integrable deformation of the AdS5×S5 coset sigma model. As a byproduct we prove the previously observed mirror duality of these deformed models at the bosonic level. While we focus on AdS5×S5, our results apply more generally.

 

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), P-2014-12

 

5 pp.