# Two-field Cosmological alpha-attractors with Noether Symmetry

- Institution: CERN
- Department: Conferences & Workshops
- Speaker: Lilia Anguelova
- Year: 2019
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3019486)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

We study Noether symmetries in two-field cosmological alpha-attractors, investigating the case when the scalar manifold is an elementary hyperbolic surface. This encompasses and generalizes the case of the Poincare disk. We solve the conditions for the existence of a `separated' Noether symmetry and find the form of the scalar potential compatible with such, for any elementary hyperbolic surface. For this class of symmetries, we find that the alpha-parameter must have a fixed value. Using those Noether symmetries, we also obtain many exact solutions of the equations of motion of these models, which were studied previously with numerical methods..

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## Lectures

1. [Two-field Cosmological alpha-attractors with Noether Symmetry](https://invisiblenetwork.ai/learn/cern/3019486/57da1b2ae5c3), 15 min (CERN's player)