TY - JOUR
T1 - On string integrability
T2 - A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
AU - Puletti, Valentina Giangreco Marotta
PY - 2010
Y1 - 2010
N2 - One of the main topics in the modern String Theory are the AdS/CFT dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of infinitely many conserved charges, that is, the integrability, in the planar AdS/CFT has allowed us to reach immense progresses in understanding and confirming the duality. We review the fundamental concepts and properties of integrability in two-dimensional -models and in the AdS/CFT context. The first part is focused on the AdS 5 / CFT 4 duality, especially the classical and quantum integrability of the type IIB superstring on AdS 5 S 5 which is discussed in both pure spinor and Green-Schwarz formulations. The second part is dedicated to the AdS 4 / CFT 3 duality with particular attention to the type IIA superstring on AdS 4 P 3 and its integrability. This review is based on the author's PhD thesis discussed at Uppsala University the 21st September 2009.
AB - One of the main topics in the modern String Theory are the AdS/CFT dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of infinitely many conserved charges, that is, the integrability, in the planar AdS/CFT has allowed us to reach immense progresses in understanding and confirming the duality. We review the fundamental concepts and properties of integrability in two-dimensional -models and in the AdS/CFT context. The first part is focused on the AdS 5 / CFT 4 duality, especially the classical and quantum integrability of the type IIB superstring on AdS 5 S 5 which is discussed in both pure spinor and Green-Schwarz formulations. The second part is dedicated to the AdS 4 / CFT 3 duality with particular attention to the type IIA superstring on AdS 4 P 3 and its integrability. This review is based on the author's PhD thesis discussed at Uppsala University the 21st September 2009.
UR - https://www.scopus.com/pages/publications/78649693838
U2 - 10.1155/2010/471238
DO - 10.1155/2010/471238
M3 - Review article
SN - 1687-7357
VL - 2010
JO - Advances in High Energy Physics
JF - Advances in High Energy Physics
M1 - 471238
ER -