Centro de Matemática e Aplicações

output

20112022

R^{2}

inflation in non-local UV-complete gravity

163 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

96 papers

hep-th2022★ 10 cited

Post-inflationary GW production in generic higher (infinite) derivative gravity

Alexey S. Koshelev, Alexei A. Starobinsky, Anna Tokareva

Gravity can be embedded into a renormalizable theory by means of adding quadratic in curvature terms. However, this at first leads to the presence of the Weyl ghost. It is possible…

hep-th2022★ 6 cited

Non-Gaussianities in generalized non-local $R^{2}$ -like inflation

Alexey S. Koshelev, K. Sravan Kumar, Alexei A. Starobinsky

In [1], a most general higher curvature non-local gravity action was derived that admits a particular $R^{2}$ -like inflationary solution predicting the spectral index of primordial s…

gr-qc2022★ 34 cited

Inflation and fractional quantum cosmology

S. M. M. Rasouli, E. W. Oliveira Costa, P. V. Moniz +1

The Wheeler--DeWitt equation for a flat and compact Friedmann--Lemaître--Robertson--Walker cosmology at the pre-inflation epoch is studied in the contexts of the standard and fract…

hep-th2022★ 20 cited

Generalized non-local $R^{2}$ -like inflation

Alexey S. Koshelev, K. Sravan Kumar, Alexei A. Starobinsky

The $R^{2}$ inflation which is an extension of general relativity (GR) by quadratic scalar curvature introduces a quasi-de Sitter expansion of the early Universe governed by Ricci sc…

math.RA2022★ 27 cited

Transposed Poisson structures on Block Lie algebras and superalgebras

Ivan Kaygorodov, Mykola Khrypchenko

We describe transposed Poisson algebra structures on Block Lie algebras $B (q)$ and Block Lie superalgebras $S (q)$ , where $q$ is an arbitrary complex number. Speci…

hep-th2022★ 10 cited

Confining complex ghost degrees of freedom

Marco Frasca, Anish Ghoshal, Alexey S. Koshelev

We show a theorem proving that a non-local bosonic field upon a covariant interaction with a confining gauge field undergoes the confinement of its degrees of freedom present in th…

math.RA2022★ 12 cited

Transposed Poisson structures

Patrícia Damas Beites, Bruno Leonardo Macedo Ferreira, Ivan Kaygorodov

To present a survey on known results from the theory of transposed Poisson algebras, as well as to establish new results on this subject, are the main aims of the present paper. Fu…

gr-qc2022★ 50 cited

de Sitter Fractional Quantum Cosmology

S. Jalalzadeh, E. W. Oliveira Costa, P. V. Moniz

We employ Riesz's fractional derivative into the Wheeler--DeWitt equation for a closed de Sitter geometry and obtain the no-boundary and tunneling wavefunctions. From the correspon…

math.RA2022★ 11 cited

The algebraic and geometric classification of Zinbiel algebras

María Alejandra Alvarez, Renato Fehlberg Júnior, Ivan Kaygorodov

This paper is devoted to the complete algebraic and geometric classification of complex $5$ -dimensional Zinbiel algebras. In particular, we proved that the variety of complex $5$ -d…

gr-qc2022★ 12 cited

Shape Invariant Potentials in Supersymmetric Quantum Cosmology

S. Jalalzadeh, S. M. M. Rasouli, P. V. Moniz

In this brief review, we comment on the concept of shape invariant potentials, which is an essential feature in many settings of $N = 2$ supersymmetric quantum mechanics. To motivate…

hep-th2022★ 29 cited

UV graviton scattering and positivity bounds from IR dispersion relations

M. Herrero-Valea, A. S. Koshelev, A. Tokareva

Scattering amplitudes mediated by graviton exchange display IR singularities in the forward limit. This obstructs standard application of positivity bounds based on twice subtracte…

hep-ph2022★ 2 cited

Generating CP violation from a modified Fridberg-Lee model

N. Razzaghi, S. M. M. Rasouli, P. Parada +1

The overall characteristics of the solar and atmospheric neutrino oscillations are approximately consistent with a tribimaximal form of the mixing matrix $U$ of the lepton sector.…

hep-ph2022★ 4 cited

Two-zero textures based on $A_{4}$ symmetry and unimodular mixing matrix

N. Razzaghi, S. M. M. Rasouli, P. Parada +1

Applying the $A_{4}$ symmetry in the scenario of unimodular second scheme of trimaximal $T M_{2}$ mixing matrix, where the charged lepton mass matrix is diagonal and the nature of neutr…

hep-th2022★ 12 cited

Quintessence Dark Energy from strongly-coupled Higgs mass gap: Local and Non-local higher-derivative non-perturbative scenarios

Marco Frasca, Anish Ghoshal, Alexey Koshelev

We entertain the possibility that dark energy arises from the Higgs field of quintessence type in the non-perturbative regimes. For this purpose we utilize a set of exact solutions…

gr-qc2022★ 13 cited

Geodesic deviation in Saez--Ballester theory

S. M. M. Rasouli, M. Sakellariadou, Paulo Vargas Moniz

We study the geodesic deviation (GD) equation in a generalized version of the Sáez--Ballester (SB) theory in arbitrary dimensions. We first establish a general formalism and then r…

hep-ph2022★ 6 cited

Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings

Marco Frasca, Anish Ghoshal, Alexey S. Koshelev

We consider a non-Abelian Lee--Wick gauge theory and discuss Becchi-Rouet-Stora-Tyutin (BRST) invariance. It contains fourth-order derivative as extensions of the kinetic term, lea…

math.RA2022★ 2 cited

Local derivations of semisimple Leibniz algebras

Ivan Kaygorodov, Karimbergen Kudaybergenov, Inomjon Yuldashev

We prove that every local derivation on a complex semisimple finite-dimensional Leibniz algebra is a derivation.

math.RA2021★ 6 cited

One-generated nilpotent bicommutative algebras

Ivan Kaygorodov, Pilar Páez-Guillán, Vasily Voronin

We give a classification of $5$ - and $6$ -dimensional complex one-generated nilpotent bicommutative algebras.

gr-qc2021★ 5 cited

On the Hydrogen Atom in the Holographic Universe

S. Jalalzadeh, S. Abarghouei Nejad, P. V. Moniz

We investigate the holographic bound utilizing a homogeneous, isotropic, and non-relativistic neutral hydrogen gas present in the de Sitter space. Concretely, we propose to employ…

hep-ph2021★ 11 cited

Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review

A. Addazi, J. Alvarez-Muniz, R. Alves Batista +157

The exploration of the universe has recently entered a new era thanks to the multi-messenger paradigm, characterized by a continuous increase in the quantity and quality of experim…

math.RA2021★ 1 cited

The geometric classification of nilpotent commutative $CD$ -algebras

Doston Jumaniyozov, Ivan Kaygorodov, Abror Khudoyberdiyev

We give a geometric classification of complex $5$ -dimensional nilpotent commutative $CD$ -algebras. The corresponding geometric variety has dimension $24$ and decomposes…

math.AP2021

Gradient Estimate for the Heat Kernel on Some Fractal-Like Cable Systems and Quasi-Riesz Transforms

Baptiste Devyver, Emmanuel Russ, Meng Yang

We give pointwise upper estimate for the gradient of the heat kernel on some fractal-like cable systems including the Vicsek and the Sierpiński cable systems. Applications to $L^{p}$ …

hep-th2021★ 43 cited

Unitarity of Minkowski non-local theories made explicit

Alexey S. Koshelev, Anna Tokareva

In this work we explicitly show that the perturbative unitarity of analytic infinite derivative (AID) scalar field theories can be achieved using a modified prescription for comput…