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Dual Separated Variables and Scalar Products
Nikolay Gromov, Fedor Levkovich-Maslyuk, Paul Ryan +1
Separation of variables (SoV) is an extremely efficient and elegant technique for analysing physical systems but its application to integrable spin chains was limited until recentl…
The full spectrum of AdS/CFT II: Weak coupling expansion via the quantum spectral curve
Christian Marboe, Dmytro Volin
We continue the effort to optimise and generalise the solution of the spectral problem of AdS/CFT in the planar limit via integrability. We present a simple strategy to sol…
The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system
Christian Marboe, Dmytro Volin
With the formulation of the quantum spectral curve for the AdS5/CFT4 integrable system, it became potentially possible to compute its full spectrum with high efficiency. This is th…
T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
Vladimir Kazakov, Sebastien Leurent, Dmytro Volin
We propose an efficient grassmannian formalism for solution of bi-linear finite-difference Hirota equation (T-system) on T-shaped lattices related to the space of highest weight re…
Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
Christian Marboe, Vitaly Velizhanin, Dmytro Volin
We compute the general form of the six-loop anomalous dimension of twist-two operators with arbitrary spin in planar N=4 SYM theory. First we find the contribution from the asympto…
Quantum spectral curve as a tool for a perturbative quantum field theory
Christian Marboe, Dmytro Volin
An iterative procedure perturbatively solving the quantum spectral curve of planar N=4 SYM for any operator in the sl(2) sector is presented. A Mathematica notebook executing this…