Abstract
Lie algebra expansion is a technique to generate new Lie algebras from a given one. In this paper, we apply the method of Lie algebra expansion to superstring σ-models with a ℤ4 coset target space. By applying the Lie algebra expansion to the isometry algebra, we obtain different σ-models, where the number of dynamical fields can change. We reproduce and extend in a systematic way actions of some known string regimes (flat space, BMN and non-relativistic in AdS5×S5). We define a criterion for the algebra truncation such that the equations of motion of the expanded action of the new σ-model are equivalent to the vanishing curvature condition of the Lax connection obtained by expanding the Lax connection of the initial model.
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Address after 01-01-20: Van Swinderen Institute, Groningen University. (Luca Romano)
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Fontanella, A., Romano, L. Lie algebra expansion and integrability in superstring Sigma-models. J. High Energ. Phys. 2020, 83 (2020). https://doi.org/10.1007/JHEP07(2020)083
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DOI: https://doi.org/10.1007/JHEP07(2020)083