Work

Lie algebra expansion and integrability in superstring Sigma-models

Year: 2020

Type: article

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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep07(2020)083

Authors: Andrea Fontanella, Luca Romano

Institutions: Humboldt-Universität zu Berlin, Consejo Superior de Investigaciones Científicas, University of Groningen, Instituto de Física Teórica, Universidad Autónoma de Madrid

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Deutsche Forschungsgemeinschaft, Agencia Estatal de Investigación

Awards: G1131050348, G1746794430, G4478587286