Preprint 2018-11
Asger C. Ipsen, Matthias Staudacher, and Leonard Zippelius
The One-Loop Spectral Problem of Strongly Twisted N=4 Super Yang-Mills Theory.
Abstract: We investigate the one-loop spectral problem of γ-twisted, planar N=4 Super Yang-Mills theory in the double-scaling limit of infinite, imaginary twist angle and vanishing Yang- Mills coupling constant. This non-unitary model has recently been argued to be a simpler version of full-fledged planar N =4 SYM, while preserving the latter model’s conformality and integrability. We are able to derive for a number of sectors one-loop Bethe equations that allow finding anomalous dimensions for various subsets of diagonalizable operators. However, the non-unitarity of these deformed models results in a large number of non- diagonalizable operators, whose mixing is described by a very complicated structure of non- diagonalizable Jordan blocks of arbitrarily large size and with a priori unknown generalized eigenvalues. The description of these blocks by methods of integrability remains unknown.
Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2018-11
33 pp.