Spectrum and Quantum Symmetries of the AdS_5 × S^5 Superstring

Abstract:
The AdS/CFT correspondence has dramatically changed our view on both 
gauge and string theories. In particular, for the initial duality pair, 
the duality between N=4 SYM and the AdS_5 × S^5 superstring, the 
underlying quantum integrability led to rich understanding, which 
allowed to devise powerful analytic methods. However, quantization of 
the AdS_5 × S^5 superstring from first principles proves extremely 
difficult and seems to be under control only for long semiclassical 
string states, such that the integrability based predictions for short 
strings lack any testability.
In my thesis I investigated possible avenues to take perturbative 
quantization of the AdS_5 × S^5 superstring beyond the long string 
paradigm, with the goal to obtain a better understanding of the short 
string spectrum and the quantum symmetries at play.