Generalized two-field α-attractor models from geometrically finite hyperbolic surfaces
TLDR
In this paper, a generalization of two-field α-attractors with a positive constant α was proposed, where the scalar manifold is a non-compact geometrically finite surface with a Riemannian metric.About:
This article is published in Nuclear Physics.The article was published on 2018-11-01 and is currently open access. It has received 27 citations till now. The article focuses on the topics: Scalar field & Non-linear sigma model.read more
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Angular inflation in multi-field ${\alpha}$-attractors
TL;DR: In this article, the authors explore the dynamics of multi-field models of inflation in which the field-space metric is a hyperbolic manifold of constant curvature, and find a variety of multilevel inflationary trajectories in different regions of parameter space.
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Two-field cosmological α -attractors with Noether symmetry
TL;DR: In this article, the authors studied Noether symmetries in two-field cosmological α-attractors, investigating the case when the scalar manifold is an elementary hyperbolic surface.
Journal ArticleDOI
On primordial black holes from rapid turns in two-field models
TL;DR: In this paper, the authors investigate a class of exact solutions with hidden symmetry and show that they exhibit the kind of transient rapid-turn period, needed to induce primordial black hole (PBH) formation.
Journal ArticleDOI
On Primordial Black Holes from Rapid Turns in Two-field Models
TL;DR: In this paper, the authors investigate a class of exact solutions with hidden symmetry and show that they exhibit the kind of transient rapid-turn period, needed to induce primordial black hole (PBH) formation.
Journal ArticleDOI
Angular inflation in multi-field ${\alpha}$-attractors
TL;DR: In this paper, the authors explore the dynamics of multi-field models of inflation in which the field-space metric is a hyperbolic manifold of constant curvature, and find a variety of multilevel inflationary trajectories in different regions of parameter space.
References
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Planck 2015 results. XX. Constraints on inflation
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TL;DR: In this article, the authors report on the implications for cosmic inflation of the 2018 Release of the Planck CMB anisotropy measurements, which are fully consistent with the two previous Planck cosmological releases, but have smaller uncertainties thanks to improvements in the characterization of polarization at low and high multipoles.
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The Geometry of Discrete Groups
TL;DR: In this article, the authors describe the geometric theory of discrete groups and associated tesselations of the underlying space, and develop the theory of Mobius transformations in n-dimensional Euclidean space.
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Planck 2015. XX. Constraints on inflation
P. A. R. Ade,F.-X. Désert,J. Knoche,M. Giard,X. Dupac,Michele Liguori,J. B. Kim,Sabino Matarrese,Zhiqi Huang,Pasquale Mazzotta,A. Coulais,K. M. Górski,J. González-Nuevo,M. Bucher,Martin Reinecke,S. Mitra,M. Tomasi,R. A. Sunyaev,Hans Ulrik Nørgaard-Nielsen,R. Leonardi,Peregrine McGehee,Calvin B. Netterfield,R. Paladini,William T. Reach,L. Perotto,E. Franceschi,G. Roudier,M. López-Caniego,F. Pajot,D. Santos,M. Rossetti,Jean-François Cardoso,Federico Nati,H. C. Chiang,Stéphane Plaszczynski,B. P. Crill,Jussi Tuovinen,M. Linden-Vørnle,S. Galeotta,Nicola Bartolo,Peter Meinhold,P. R. Christensen,Sophie Henrot-Versille,B. D. Wandelt,Steven Gratton,Lawrence A. Wade,Hannu Kurki-Suonio,Moritz Münchmeyer,B. Rusholme,Laura Bonavera,A. Mennella,Jose M. Diego,Miville-Deschenes,Jan Hamann,M. Sandri,James R. Fergusson,E. Battaner,J. P. Zibin,J. A. Tauber,Massimiliano Lattanzi,P. Natoli,François Levrier,J.-L. Puget,George Efstathiou,D. Paoletti,C. Combet,K. Benabed,J. Delabrouille,Julien Lesgourgues,B. Van Tent,Pierrick Martin,Anna Mangilli,D. Pietrobon,T. R. Jaffe,Sarah E. Church,Luca Valenziano,Davide Maino,Giorgio Savini,H. Dole,F. Perrotta,Fabio Pasian,M. Douspis,G. W. Pratt,G. Polenta,A. Zonca,O. Perdereau,Anna Bonaldi,F. Cuttaia,A. Moneti,Stéphane Colombi,E. Pointecouteau,Michael P. Hobson,I. K. Wehus,F. Piacentini,F. Villa,J.-M. Lamarre,Anne Lähteenmäki,Frederico Arroja,Dipak Munshi,R.-R. Chary,E. Martínez-González,P. B. Lilje,F. K. Hansen,A. Renzi,M. Arnaud,D. Molinari,A. Lewis,E. Hivon,R. D. Davies,A. Zacchei,V. Stolyarov,R. Stompor,K. Ganga,Rafael Rebolo,Mika Juvela,Silvia Galli,Daniel J. Mortlock,Carlo Baccigalupi,Elena Pierpaoli,Carol Anne Oxborrow,S. Pandolfi,Michael Rowan-Robinson,Aurélien Benoit,E. P. S. Shellard,F. Elsner,Y. Giraud-Héraud,H. V. Peiris,Mario Ballardini,M. Tristram,E. Gjerløw,L. Mendes,Charles R. Lawrence,D. L. Clements,T. Trombetti,M. Ashdown,V. Pettorino,A. Curto,A.-S. Suur-Uski,Anthony Challinor,Douglas Scott,Nazzareno Mandolesi,I. D. Novikov,C. Gauthier,Marco Bersanelli,R. B. Barreiro,Allan Hornstrup,L. Popa,G. Lagache,Jose Alberto Rubino-Martin,C. Hernández-Monteagudo,Theodore Kisner,W. A. Holmes,Gianmarco Maggio,Alessandro Melchiorri,A. Chamballu,Jörg P. Rachen,E. Keihänen,D. Hanson,M. Frailis,S. R. Hildebrandt,J. A. Murphy,Seiffert,G. de Zotti,M. Savelainen,Alessandro Gruppuso,Martin White,Andrei V. Frolov,S. Donzelli,A. Ducout,Mathieu Remazeilles,Locke D. Spencer,R. Kneissl,R. Keskitalo,W. C. Jones,J. F. Macías-Pérez,Fabio Finelli,L. P. L. Colombo,G. Rocha,F. Noviello,O. Doré,Carlo Burigana,L. Pagano,Jon E. Gudmundsson,Pavel D. Naselsky,M. Migliaccio,François R. Bouchet,D. Contreras,M. Kunz,T. J. Pearson,Philip Lubin,F. Paci,G. Prézeau,R. V. Sudiwala,D. Yvon,Dmitry Novikov,P. Bielewicz,G. Patanchon,D. L. Harrison,E. Calabrese,A. Moss,Anthony Lasenby,F. Boulanger,Simon Prunet,Luca Terenzi,F. Couchot,J.-P. Bernard,A. de Rosa,J. R. Bond,L. Danese,Andrew H. Jaffe,R. C. Butler,Silvia Masi,L. Toffolatti,J. Aumont,D. Herranz,Nabila Aghanim,H. K. Eriksen,A. Benoit-Lévy,D. Sutton,M. Tucci,A. Frejsel,Will Handley,Aurelien A. Fraisse,Maresuke Shiraishi,P. de Bernardis,Gianluca Morgante,Torsten A. Ensslin,Olivier Forni,C. Rosset,R. J. Davis,L. Montier,A. Catalano,J. Valiviita,C. Renault,M. Piat,J.-F. Sygnet,P. Vielva,I. Ristorcelli,A. J. Banday,J. Borrill,G. Hurier,Yin-Zhe Ma,W. Hovest,Kevin M. Huffenberger,A. Gregorio +244 more
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Geometry and Spectra of Compact Riemann Surfaces
TL;DR: This book discusses hyperbolic structures, closed Geodesics and Huber's Theorem, and perturbations of the Laplacian in Hilbert Space.
Journal ArticleDOI
Adiabatic and entropy perturbations from inflation
TL;DR: In this article, a local rotation in field space is performed to separate out the adiabatic and entropy modes, and the resulting field equations show explicitly how on large scales entropy perturbations can source adiabaatic perturbation if the background solution follows a curved trajectory in the field space.