Author:
Ipsen Asger C.,Staudacher Matthias,Zippelius Leonard
Abstract
Abstract
We investigate the one-loop spectral problem of γ-twisted, planar
$$ \mathcal{N} $$
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
$$ \mathcal{N} $$
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
16 articles.
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