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Mirela Elena Babalic
기하학 수리물리 연구단
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Generalized α-attractor models from elementary hyperbolic surfaces

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Title
Generalized α-attractor models from elementary hyperbolic surfaces
Author(s)
Elena Mirela Babalic; Calin Iuliu Lazaroiu
Publication Date
2018
Journal
Advances in Mathematical Physics, v.2018, no., pp.7323090 -
Publisher
HINDAWI PUBLISHING CORPORATION
Abstract
We consider generalized -attractor models whose scalar potentials are globally well-behaved and whose scalar manifolds are elementary hyperbolic surfaces. Beyond the Poincar´e disk D, such surfaces include the hyperbolic punctured disk D∗ and the hyperbolic annuli A() of modulus = 2log > 0. For each elementary surface, we discuss its decomposition into canonical end regions and give an explicit construction of the embedding into the Kerekjarto-Stoilow compactification (which in all three cases is the unit sphere), showing how this embedding allows for a universal treatment of globally well-behaved scalar potentials upon expanding their extension in real spherical harmonics. For certain simple but natural choices of extended potentials, we compute scalar field trajectories by projecting numerical solutions of the lifted equations ofmotion fromthe Poincar´e half plane through the uniformization map, thus illustrating the rich cosmological dynamics of such models.
URI
https://pr.ibs.re.kr/handle/8788114/5470
ISSN
1687-9120
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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2018_CIL_Generalized attractor models from elementary hyperbolic surfaces.pdfDownload

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