• Corpus ID: 234337288

Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve

@inproceedings{Onishchenko2021AnomalousDO,
  title={Anomalous dimensions of twist 2 operators and \$\mathcal\{N\}=4\$ SYM quantum spectral curve},
  author={Andrei I. Onishchenko},
  year={2021}
}
We present algorithmic perturbative solution of N = 4 SYM quantum spectral curve in the case of twist 2 operators, valid to in principle arbitrary order in coupling constant. The latter treats operator spins as arbitrary integer values and is written in terms of special class of functions – products of rational functions in spectral parameter with sums of Baxter polynomials and Hurwitz functions. It is shown that this class of functions is closed under elementary operations, such as shifts… 

References

SHOWING 1-10 OF 63 REFERENCES
ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
Abstract We present an algorithmic perturbative solution of ABJM quantum spectral curve at twist 1 in sl (2) sector for arbitrary spin values, which can be applied to, in principle, arbitrary
On analytical perturbative solution of ABJM quantum spectral curve
Recently we showed how non-homogeneous second-order difference equations appearing within ABJM quantum spectral curve description could be solved using Mellin space technique. In particular we
Quantum spectral curve of the N=6 supersymmetric Chern-Simons theory.
TLDR
This Letter extends the formulation to the N=6 supersymmetric Chern-Simons theory introduced by Aharony, Bergman, Jafferis, and Maldacena to take an important step towards the exact determination of the interpolating function h(λ) characterizing the integrability of this model.
ABJM quantum spectral curve and Mellin transform
A bstractThe present techniques for the perturbative solution of quantum spectral curve problems in N=4$$ \mathcal{N}=4 $$ SYM and ABJM models are limited to the situation when the states quantum
Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CF T4
A bstractWe developed an efficient numerical algorithm for computing the spectrum of anomalous dimensions of the planar N$$ \mathcal{N} $$ = 4 Super-Yang-Mills at finite coupling. The method is based
Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
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 asymptotic Bethe ansatz.
Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang–Mills Theory: TBA and excited states
TLDR
An infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT are derived and it is proved that all the kernels and free terms entering these TBA equations are real and have nice fusion properties in the relevant mirror kinematics.
Analytic solution of the multiloop Baxter equation
Quantum spectral curve for arbitrary state/operator in AdS5/CFT4
A bstractWe give a derivation of quantum spectral curve (QSC) — a finite set of Riemann-Hilbert equations for exact spectrum of planar N=4$$ \mathcal{N}=4 $$ SYM theory proposed in our recent paper
𝒩 = 4 SYM Quantum Spectral Curve in BFKL Regime
We review the applications of the Quantum Spectral Curve (QSC) method to the Regge (BFKL) limit in N=4 supersymmetric Yang-Mills theory. QSC, based on quantum integrability of the AdS$_5$/CFT$_4$
...
...