62 citations · 242 across the 7 of their papers we have counts for
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Charging the Superconformal Index
Benjamin I. Zwiebel
The superconformal index is an important invariant of superconformal field theories. In this note we refine the superconformal index by inserting the charge conjugation operator C.…
From Scattering Amplitudes to the Dilatation Generator in N=4 SYM
Benjamin I. Zwiebel
The complete spin chain representation of the planar N=4 SYM dilatation generator has long been known at one loop, where it involves leading nearest-neighbor 2 -> 2 interactions. I…
Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
Benjamin I. Zwiebel
Bethe ansatz equations have been proposed for the asymptotic spectral problem of AdS_4/CFT_3. This proposal assumes integrability, but the previous verification of weak-coupling in…
Iterative Structure of the N=4 SYM Spin Chain
Benjamin I. Zwiebel
We develop algebraic methods for finding loop corrections to the N=4 SYM dilatation generator, within the noncompact psu(1,1|2) sector. This sector gives a 't Hooft coupling lambda…
On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM
Niklas Beisert, Benjamin I. Zwiebel
Strong evidence indicates that the spectrum of planar anomalous dimensions of N=4 super Yang-Mills theory is given asymptotically by Bethe equations. A curious observation is that…
Yangian Symmetry at Two Loops for the su(2|1) Sector of N=4 SYM
Benjamin I. Zwiebel
We present the perturbative Yangian symmetry at next-to-leading order in the su(2|1) sector of planar N=4 SYM. Just like the ordinary symmetry generators, the bi-local Yangian char…
N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry Algebra of the su(1,1|2) Sector
Benjamin I. Zwiebel
We begin a study of higher-loop corrections to the dilatation generator of N=4 SYM in non-compact sectors. In these sectors, the dilatation generator contains infinitely many inter…