Triangle Seminars
Wednesday, 14 Jan 2015
Deforming the AdS(5)xS(5) superstring inspired by Pohlmeyer reduction
Luis Miramontes
(Santiago)
Abstract:
The S-matrix of the world-sheet theory of the string in AdS(5)xS(5) is known
to admit a deformation where the original symmetry algebra is replaced by
the associated quantum group. The case where q, the deformation parameter,
is real has been identified as a particular deformation of the Green-Schwarz
sigma model known as the "eta-deformation". The case with q a root of unity
interpolates between the AdS(5)xS(5) world-sheet theory and its Pohlmeyer
reduction. However, an interpretation of this case is still lacking. We will
summarize recent work aimed to show that sigma models on (semi-)symmetric
spaces F/G admit discrete integrable deformations that can be viewed as
deformations of the F/F gauged WZW model. For the AdS(5)xS(5) world-sheet
theory, F=PSU(2,2|4) and the resulting theory has just the right amount of
kappa-symmetries, which points to the existence of a new fully consistent
deformed string background.
The S-matrix of the world-sheet theory of the string in AdS(5)xS(5) is known
to admit a deformation where the original symmetry algebra is replaced by
the associated quantum group. The case where q, the deformation parameter,
is real has been identified as a particular deformation of the Green-Schwarz
sigma model known as the "eta-deformation". The case with q a root of unity
interpolates between the AdS(5)xS(5) world-sheet theory and its Pohlmeyer
reduction. However, an interpretation of this case is still lacking. We will
summarize recent work aimed to show that sigma models on (semi-)symmetric
spaces F/G admit discrete integrable deformations that can be viewed as
deformations of the F/F gauged WZW model. For the AdS(5)xS(5) world-sheet
theory, F=PSU(2,2|4) and the resulting theory has just the right amount of
kappa-symmetries, which points to the existence of a new fully consistent
deformed string background.
Posted by: IC