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The journal of high energy physics, 2022-05, Vol.2022 (5), p.103-34, Article 103
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2022
Link zum Volltext
Quelle
EZB Free E-Journals
Beschreibungen/Notizen
A
bstract
We investigate a relationship between a particular class of two-dimensional integrable non-linear
σ
-models and variations of Hodge structures. Concretely, our aim is to study the classical dynamics of the
λ
-deformed
G
/
G
model and show that a special class of solutions to its equations of motion precisely describes a one-parameter variation of Hodge structures. We find that this special class is obtained by identifying the group-valued field of the
σ
-model with the Weil operator of the Hodge structure. In this way, the study of strings on classifying spaces of Hodge structures suggests an interesting connection between the broad field of integrable models and the mathematical study of period mappings.