Integrability of the superstring and its deformations

SJ Van Tongeren - Journal of Physics A: Mathematical and …, 2014 - iopscience.iop.org
This article reviews the application of integrability to the spectral problem of strings on ${\rm
Ad}{{{\rm S}} _ {5}}\times {{{\rm S}}^{5}} $ and its deformations. We begin with a pedagogical …

Extended Y-system for the AdS5/CFT4 correspondence

A Cavaglia, D Fioravanti, R Tateo - Nuclear Physics B, 2011 - Elsevier
We study the analytic properties of the AdS5/CFT4 Y functions. It is shown that the TBA
equations, including the dressing factor, can be obtained from the Y-system with some …

Structure constants at wrapping order

B Basso, V Goncalves, S Komatsu - Journal of High Energy Physics, 2017 - Springer
A bstract We consider structure constants of single trace operators in planar\(\mathcal {N}=
4\) Super-Yang-Mills theory within the hexagon framework. The standard procedure for …

Quantum folded string and integrability: From finite size effects to Konishi dimension

N Gromov, D Serban, I Shenderovich… - Journal of High Energy …, 2011 - Springer
Using the algebraic curve approach we one-loop quantize the folded string solution for the
type IIB superstring in AdS 5× S 5. We obtain an explicit result valid for arbitrary values of its …

Six-loop anomalous dimension of twist-two operators in planar SYM theory

C Marboe, V Velizhanin, D Volin - Journal of High Energy Physics, 2015 - Springer
A bstract We compute the general form of the six-loop anomalous dimension of twist-two
operators with arbitrary spin in planar\(\mathcal {N}= 4\) SYM theory. First we find the …

Review of AdS/CFT integrability, chapter III. 6: thermodynamic Bethe ansatz

Z Bajnok - Letters in Mathematical Physics, 2012 - Springer
Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz Page 1 DOI
10.1007/s11005-011-0512-y Lett Math Phys (2012) 99:299–320 Review of AdS/CFT …

TBA, NLO Lüscher correction, and double wrapping in twisted AdS/CFT

C Ahn, Z Bajnok, D Bombardelli… - Journal of High Energy …, 2011 - Springer
A bstract The ground-state energy of integrably-twisted theories is analyzed in finite volume.
We derive the leading and next-to-leading order (NLO) Lüscher-type corrections for large …

Multiple zeta functions and double wrapping in planar N= 4 SYM

S Leurent, D Volin - Nuclear Physics B, 2013 - Elsevier
Using the FiNLIE solution of the AdS/CFT Y-system, we compute the anomalous dimension
of the Konishi operator in planar N= 4 SYM up to eight loops, ie up to the leading double …

Konishi operator at intermediate coupling

S Frolov - Journal of Physics A: Mathematical and Theoretical, 2011 - iopscience.iop.org
Abstract Thermodynamic Bethe Ansatz equations for two-particle states from the sector
proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi …

Twisting the mirror TBA

G Arutyunov, M de Leeuw, SJ van Tongeren - Journal of High Energy …, 2011 - Springer
We study finite-size corrections to the magnon dispersion relation in three models which
differ from string theory on AdS 5× S 5 in their boundary conditions. Asymptotically, this is …