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Search: authors:"Christian Marboe"

3 papers found.
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Evaluation of the operatorial Q-system for non-compact super spin chains

We present an approach to evaluate the full operatorial Q-system of all \( \mathfrak{u}\left(p,q\Big|r+s\right) \)-invariant spin chains with representations of Jordan-Schwinger type. In particular, this includes the super spin chain of planar \( \mathcal{N}=4 \) super Yang-Mills theory at one loop in the presence of a diagonal twist. Our method is based on the oscillator...

Twist-2 at seven loops in planar \( \mathcal{N} \) = 4 SYM theory: full result and analytic properties

The anomalous dimension of twist-2 operators of arbitrary spin in planar \( \mathcal{N} \) = 4 SYM theory is found at seven loops by using the quantum spectral curve to compute values at fixed spin, and reconstructing the general result using the LLL-algorithm together with modular arithmetic. The result of the analytic continuation to negative spin is presented, and its relation...

Six-loop anomalous dimension of twist-two operators in planar \( \mathcal{N}=4 \) SYM theory

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 contribution from the asymptotic Bethe ansatz. Then we reconstruct the wrapping terms from the first 35 even spin values of the full six-loop anomalous dimension computed using the quantum spectral curve approach...