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During inflation, the geometry of spacetime is described by a (quasi-)de Sitter phase. Inflationary observables are determined by the underlying (softly broken) de Sitter isometry group SO(1, 4) which acts like a conformal group on R^3:…

High Energy Physics - Theory · Physics 2016-01-20 Alex Kehagias , Antonio Riotto

The consistency relation for the 3-point function of the CMB is a very powerful observational signature which is believed to be true for every inflationary model in which there is only one dynamical degree of freedom. Its importance relies…

High Energy Physics - Theory · Physics 2009-06-11 Clifford Cheung , A. Liam Fitzpatrick , Jared Kaplan , Leonardo Senatore

The effective field theory of inflation is a powerful tool for obtaining model independent predictions common to large classes of inflationary models. It requires only information about the symmetries broken during the inflationary era, and…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-11 Nicola Bartolo , Dario Cannone , Angelo Ricciardone , Gianmassimo Tasinato

In inflationary models where the source of scalar perturbations is not the inflaton, but one or more scalars with negligible coupling with the inflaton, the resulting perturbations are not only scale invariant, but fully conformally…

High Energy Physics - Theory · Physics 2013-05-30 Paolo Creminelli

We continue the study of inflationary fluctuations in Holographic Space Time models of inflation. We argue that the holographic theory of inflation provides a physical context for what is often called dS/CFT. The holographic theory is a…

High Energy Physics - Theory · Physics 2013-06-19 Tom Banks , Willy Fischler , T. J. Torres , Carroll L. Wainwright

The Ward identities for conformal symmetries in single field models of inflation are studied in more detail in momentum space. For a class of generalized single field models, where the inflaton action contains arbitrary powers of the scalar…

High Energy Physics - Theory · Physics 2016-12-28 Ashish Shukla , Sandip P. Trivedi , V. Vishal

Using symmetry considerations, we derive Ward identities which relate the three point function of scalar perturbations produced during inflation to the scalar four point function, in a particular limit. The derivation assumes approximate…

High Energy Physics - Theory · Physics 2015-04-29 Nilay Kundu , Ashish Shukla , Sandip P. Trivedi

Conformal embedding of closed-universe models in a de Sitter background suggests a quantisation condition on the available conformal time. This condition implies that the universe is closed at no greater than the 10% level. When a massive…

Astrophysics · Physics 2009-11-10 Anthony Lasenby , Chris Doran

We calculate the four point correlation function for scalar perturbations in the canonical model of slow-roll inflation. We work in the leading slow-roll approximation where the calculation can be done in de Sitter space. Our calculation…

High Energy Physics - Theory · Physics 2014-10-14 Archisman Ghosh , Nilay Kundu , Suvrat Raju , Sandip P. Trivedi

We compute the three point correlation functions for primordial scalar and tensor fluctuations in single field inflationary models. We obtain explicit expressions in the slow roll limit where the answer is given terms of the two usual slow…

Astrophysics · Physics 2009-11-07 Juan Maldacena

Scattering amplitudes at weak coupling are highly constrained by Lorentz invariance, locality and unitarity, and depend on model details only through coupling constants and particle content. In this paper, we develop an understanding of…

High Energy Physics - Theory · Physics 2019-11-01 Nima Arkani-Hamed , Daniel Baumann , Hayden Lee , Guilherme L. Pimentel

According to the dS/CFT correspondence, correlators of fields generated during a primordial de Sitter phase are constrained by three-dimensional conformal invariance. Using the properties of radially quantized conformal field theories and…

High Energy Physics - Theory · Physics 2017-08-02 Alex Kehagias , Antonio Riotto

We examine the role of using symmetry and effective field theory in inflationary model building. We describe the standard formulation of starting with an approximate shift symmetry for a scalar field, and then introducing corrections…

High Energy Physics - Theory · Physics 2015-07-29 Mark P. Hertzberg

The physics of the inflationary universe requires the study of the out of equilibrium evolution of quantum fields in curved spacetime. We present the evolution for both the geometry and the matter (described by the quantum inflaton field)…

Astrophysics · Physics 2007-05-23 D. Boyanovsky , D. Cormier , H. J. de Vega , R. Holman , S. P. Kumar

In construction of an inflationary model, one usually assumes that the matter sector of the gravitational action is minimally coupled to the background. It means that the matter (inflaton) part of the action is coupled with the same metric…

General Relativity and Quantum Cosmology · Physics 2021-05-25 Yousef Bisabr

We investigate the symmetry constraints on the bispectrum, i.e. the three-point correlation function of primordial density fluctuations, in slow-roll inflation. It follows from the defining property of slow-roll inflation that primordial…

High Energy Physics - Theory · Physics 2013-03-29 Koenraad Schalm , Gary Shiu , Ted van der Aalst

We show that there are inflationary models for which perturbations in the energy momentum tensor, which are of second order in the scalar field, cannot be neglected. We first specify the conditions under which the usual first order…

Astrophysics · Physics 2009-10-22 R. Durrer , M. Sakellariadou

The space of inflationary models is vast, containing wide varieties of mechanisms, symmetries, and spectra of particles. Consequently, the space of observational signatures is similarly complex. Hence, it is natural to look for boundaries…

High Energy Physics - Theory · Physics 2020-10-29 Daniel Green , Enrico Pajer

We investigate cosmological perturbations generated during de Sitter inflation in the three-coupled scalar theory. This theory is composed of three coupled scalars ($\phi_p,p=1,2,3$) to give a sixth-order derivative scalar theory for…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Yun Soo Myung , Taeyoon Moon

We study the possibility that the approximate time shift symmetry during inflation is promoted to the full invariance under time reparametrization t \to \tilde t(t), or equivalently under field redefinition of the inflaton \phi \to…

High Energy Physics - Theory · Physics 2015-06-05 Paolo Creminelli , Jorge Noreña , Manuel Peña , Marko Simonović
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