T-systems and Y-systems in integrable systems

A Kuniba, T Nakanishi, J Suzuki - Journal of Physics A …, 2011 - iopscience.iop.org
T-and Y-systems are ubiquitous structures in classical and quantum integrable systems.
They are difference equations having a variety of aspects related to commuting transfer …

Thermodynamic bubble ansatz

LF Alday, D Gaiotto, J Maldacena - Journal of High Energy Physics, 2011 - Springer
Motivated by the computation of scattering amplitudes at strong coupling, we consider
minimal area surfaces in AdS 5 which end on a null polygonal contour at the boundary. We …

Y-system for Scattering Amplitudes

LF Alday, J Maldacena, A Sever… - Journal of Physics A …, 2010 - iopscience.iop.org
Abstract We compute super Yang–Mills planar amplitudes at strong coupling by considering
minimal surfaces in AdS 5 space. The surfaces end on a null polygonal contour at the …

Spinning strings in New integrable system relations

G Arutyunov, J Russo, AA Tseytlin - Physical Review D, 2004 - APS
A general class of rotating closed string solutions in AdS 5× S 5 is shown to be described by
a Neumann-Rosochatius one-dimensional integrable system. The latter represents an …

Spinning strings in AdS5× S5 and integrable systems

G Arutyunov, S Frolov, J Russo, AA Tseytlin - Nuclear Physics B, 2003 - Elsevier
We show that solitonic solutions of the classical string action on the AdS5× S5 background
that carry charges (spins) of the Cartan subalgebra of the global symmetry group can be …

Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space

LF Alday, J Maldacena - Journal of High Energy Physics, 2009 - iopscience.iop.org
We consider minimal surfaces in three dimensional anti-de-Sitter space that end at the AdS
boundary on a polygon given by a sequence of null segments. The problem can be reduced …

Spinning strings and AdS/CFT duality

AA Tseytlin - From Fields to Strings: Circumnavigating Theoretical …, 2005 - World Scientific
We review a special class of seraiclassical string states in AdS5× S5 which have a regular
expansion of their energy in integer powers of the ratio of the square of the string tension ('t …

Form factors at strong coupling via a Y-system

J Maldacena, A Zhiboedov - Journal of High Energy Physics, 2010 - Springer
We compute form factors in planar\(\mathcal {N}= 4\) Super Yang-Mills at strong coupling.
Namely we consider the overlap between an operator insertion and 2n gluons. Through the …

Light-cone superstring in AdS space–time

RR Metsaev, CB Thorn, AA Tseytlin - Nuclear Physics B, 2001 - Elsevier
We consider fixing the bosonic light-cone gauge for string in AdS space in the phase space
framework, ie, by choosing x+= τ, and by choosing σ so that P+ is distributed uniformly (its …

Matching higher conserved charges for strings and spins

G Arutyunov, M Staudacher - Journal of High Energy Physics, 2004 - iopscience.iop.org
We demonstrate that the recently found agreement between one-loop scaling dimensions of
large dimension operators in Script N= 4 gauge theory and energies of spinning strings on …