L. Zippelius, HU

Rigorosum

Title: “The One-Loop Dilatation Operator of Strongly-Twisted N=4 Super Yang-Mills Theory”

Abstract: In the last four years certain deformations of the famous N=4 SYM named strongly-twisted N=4 SYM have gained a reputation as being particularly simple. I will discuss the spectral problem – the problem of diagonalising the Dilatation operator – in the context of these theories. After showing how to find the Dilatation operator at one-loop level I proceed to find its eigenvalues in three steps. In a first step I present an observation that many states have zero anomalous dimensions and we only find non-trivial eigenvalues in subsectors of the whole theory. In the second step I find the eigenvalues in the simplest non-trivial sector and in a third step I find the eigenvalues in the largest non-trivial sector. Several peculiar features of the theories and their effect on the two-point functions are also discussed.