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Once quantum corrections are taken into account, the strong coupling limit of the $\xi$-attractor models (in metric gravity) might depart from the usual Starobinsky solution and move into linear inflation. Furthermore, it is well known that…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-18 Antonio Racioppi

We introduce a novel non-minimal coupling between gravity and the inflaton sector. Remarkably, for large values of this coupling all models asymptote to a universal attractor. This behavior is independent of the original scalar potential…

High Energy Physics - Theory · Physics 2015-06-17 Renata Kallosh , Andrei Linde , Diederik Roest

An origin and necessity of so called conformal (or,Penrose-Chernikov-Tagirov) coupling of scalar field to the metric of n-dimensional Riemannian space-time is discussed in brief. The corresponding general-relativistic field equation implies…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. A. Tagirov

Recently, several broad classes of inflationary models have been discovered whose cosmological predictions are stable with respect to significant modifications of the inflaton potential. Some classes of models are based on a non-minimal…

High Energy Physics - Theory · Physics 2015-04-16 Mario Galante , Renata Kallosh , Andrei Linde , Diederik Roest

In the N=1 four-dimensional new-minimal supergravity framework, we supersymmetrise the coupling of the scalar kinetic term to the Einstein tensor. This coupling, although introduces a non-minimal derivative interaction of curvature to…

High Energy Physics - Theory · Physics 2015-06-04 Fotis Farakos , Cristiano Germani , Alex Kehagias , Emmanuel N. Saridakis

We consider, in Palatini formalism, a modified gravity of which the scalar field derivative couples to Einstein tensor. In this scenario, Ricci scalar, Ricci tensor and Einstein tensor are functions of connection field. As a result, the…

General Relativity and Quantum Cosmology · Physics 2018-03-20 Narakorn Kaewkhao , Burin Gumjudpai

For any unitary conformal field theory in two dimensions with the central charge $c$, we prove that, if there is a nontrivial primary operator whose conformal dimension $\Delta$ vanishes in some limit on the conformal manifold, the…

High Energy Physics - Theory · Physics 2024-07-12 Hirosi Ooguri , Yifan Wang

We propose a new model in the teleparallel framework where we consider a scalar field nonminimally coupled to both the torsion $T$ and a boundary term given by the divergence of the torsion vector $B=\frac{2}{e}\partial_\mu (eT^\mu)$. This…

General Relativity and Quantum Cosmology · Physics 2016-04-26 Sebastian Bahamonde , Matthew Wright

We study single-field slow-roll inflation embedded in Palatini $F(R)$ gravity where $F(R)$ grows faster than $R^2$. Surprisingly, the consistency of the theory requires the Jordan frame inflaton potential to be unbounded from below. Even…

General Relativity and Quantum Cosmology · Physics 2024-03-21 Christian Dioguardi , Antonio Racioppi , Eemeli Tomberg

A class of scalar-tensor theories (STT) including a non-metricity that unifies metric, Palatini and hybrid metric-Palatini gravitational actions with non-minimal interaction is proposed and investigated from the point of view of their…

General Relativity and Quantum Cosmology · Physics 2020-07-03 Andrzej Borowiec , Aleksander Kozak

A nonminimal coupling single scalar field theory, when transformed from Jordan frame to Einstein frame, can act like a minimal coupling one. Making use of this property, we investigate how a nonminimal coupling theory with scale-invariant…

High Energy Physics - Phenomenology · Physics 2015-06-04 Taotao Qiu

It has been suggested that the recent acceleration of the expansion of the Universe is due a modified gravitational action consisting of the Einstein-Hilbert term plus a term proportional to the reciprocal of the Ricci scalar. Although the…

Astrophysics · Physics 2008-11-26 Eanna E. Flanagan

Recent tensor-network samplings of modified Nishimori spin glasses have revealed robust finite-temperature critical transitions in two dimensions, defying the standard Edwards-Anderson lower critical dimension boundary ($d_{l}\approx2.5$).…

Disordered Systems and Neural Networks · Physics 2026-04-14 Alok Yadav

The superconformal action can be gauge-fixed in a gauge where is leads to the Einstein frame supergravity defined by a Kahler potential $K(z, \bar z)$, or in a gauge where it leads to a Jordan frame supergravity defined by the frame…

High Energy Physics - Theory · Physics 2026-05-19 Renata Kallosh

Non-minimal scalar-tensor (ST) theories may admit an Einstein frame representation, where gravity is described by the Einstein-Hilbert action plus the scalar sector. Some STs become just {\em minimal} Einstein-scalar (MES) theories, notable…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Dmitri Gal'tsov

The canonical scalar-tensor theory model which exhibits spontaneous scalarization in the strong-gravity regime of neutron stars has long been known to predict a cosmological evolution for the scalar field which generically results in severe…

General Relativity and Quantum Cosmology · Physics 2019-11-11 Hector O. Silva , Masato Minamitsuji

In the context of weak-field metric-affine (i.e. Palatini) gravity near Minkowski spacetime, we compute the particle spectra in the simultaneous presence of all independent contractions quadratic in Ricci-type tensors. Apart from the full…

High Energy Physics - Theory · Physics 2024-03-12 W. Barker , C. Marzo

Recent results from the Atacama Cosmology Telescope (ACT) indicate a scalar spectral index $n_s \simeq 0.9743$, in excellent agreement with the prediction of linear inflation. However, the corresponding tensor-to-scalar ratio $r \simeq…

General Relativity and Quantum Cosmology · Physics 2025-04-18 Christian Dioguardi , Alexandros Karam

Associated to a closed, oriented surface S is the complex vector space with basis the set of all compact, oriented 3-manifolds which it bounds. Gluing along S defines a Hermitian pairing on this space with values in the complex vector space…

Geometric Topology · Mathematics 2009-10-14 Danny Calegari , Michael Freedman , Kevin Walker

The Palatini formalism is developed for gravitational theories in flat geometries. We focus on two particularly interesting scenarios. First, we fix the connection to be metric compatible, but we follow a completely covariant approach by…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Jose Beltran Jimenez , Lavinia Heisenberg , Tomi Koivisto
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