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SUMMARY:Two-field Cosmological alpha-attractors with Noether Symmetry
DTSTART;VALUE=DATE-TIME:20190625T130000Z
DTEND;VALUE=DATE-TIME:20190625T131500Z
DTSTAMP;VALUE=DATE-TIME:20200715T001548Z
UID:indico-contribution-3442250@indico.cern.ch
DESCRIPTION:Speakers: Lilia Anguelova (Utrecht University)\nWe study Noeth
er symmetries in two-field cosmological alpha-attractors\, investigating t
he case when the scalar manifold is an elementary hyperbolic surface. This
encompasses and generalizes the case of the Poincare disk. We solve the c
onditions for the existence of a `separated' Noether symmetry and find the
form of the scalar potential compatible with such\, for any elementary hy
perbolic surface. For this class of symmetries\, we find that the alpha-pa
rameter must have a fixed value. Using those Noether symmetries\, we also
obtain many exact solutions of the equations of motion of these models\, w
hich were studied previously with numerical methods.\n\nhttps://indico.cer
n.ch/event/782251/contributions/3442250/
LOCATION:CERN 500/1-001 - Main Auditorium
URL:https://indico.cern.ch/event/782251/contributions/3442250/
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