Built on

A. Edery and Y. Nakayama, Palatini formulation of pure R 2 R^{2} gravity yields Einstein gravity with no massless scalar , Phys. Rev. D 99
Original
1902
Earlier work this paper cites.
D. M. Ghilencea, Stueckelberg breaking of Weyl conformal geometry and applications to gravity , Phys. Rev. D 101
Original
1904
Earlier work this paper cites.
H. Azri and S. Nasri, Entropy production in affine inflation , Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
Y. Tang and Y.-L. Wu, Conformal α \alpha -attractor inflation with Weyl gauge field , JCAP 03
Original
1912
Earlier work this paper cites.
A. Zee, A Broken Symmetric Theory of Gravity , Phys. Rev. Lett. 42
1979
Earlier work this paper cites.
F. S. Accetta, D. J. Zoller and M. S. Turner, Induced Gravity Inflation , Phys. Rev. D 31
1985
Earlier work this paper cites.
A. A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity , Adv. Ser. Astrophys. Cosmol. 3
1987
Earlier work this paper cites.
K. Freese, J. A. Frieman and A. V. Olinto, Natural inflation with pseudo - Nambu-Goldstone bosons , Phys. Rev. Lett. 65
1990
Earlier work this paper cites.
F. W. Hehl, J. McCrea, E. W. Mielke and Y. Ne’eman, Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance , Phys. Rept. 258
1995
Earlier work this paper cites.
C. Armendariz-Picon, T. Damour and V. F. Mukhanov, k - inflation , Phys. Lett. B 458
1999
Earlier work this paper cites.
R. Kallosh, L. Kofman, A. D. Linde and A. Van Proeyen, Superconformal symmetry, supergravity and cosmology , Class. Quant. Grav. 17
2000
Earlier work this paper cites.
D. M. Ghilencea, Palatini quadratic gravity: spontaneous breaking of gauged scale symmetry and inflation , Eur. Phys. J. C 80
Original
2003
Earlier work this paper cites.
T. P. Sotiriou and S. Liberati, Metric-affine f(R) theories of gravity , Annals Phys. 322
2007
Earlier work this paper cites.
D. M. Ghilencea, Gauging scale symmetry and inflation: Weyl versus Palatini gravity , 2007.14733
Original
2007
Earlier work this paper cites.
F. L. Bezrukov and M. Shaposhnikov, The Standard Model Higgs boson as the inflaton , Phys. Lett. B 659
Original
2008
Earlier work this paper cites.

Similar

F. Bauer and D. A. Demir, Inflation with Non-Minimal Coupling: Metric versus Palatini Formulations , Phys. Lett. B 665
Original
2008
Cited alongside, same era.
S. Ferrara, R. Kallosh, A. Linde, A. Marrani and A. Van Proeyen, Superconformal Symmetry, NMSSM, and Inflation , Phys. Rev. D 83
Original
2011
Cited alongside, same era.
V. Vitagliano, T. P. Sotiriou and S. Liberati, The dynamics of metric-affine gravity , Annals Phys. 326
Original
2011
Cited alongside, same era.
N. Dadhich and J. M. Pons, On the equivalence of the Einstein-Hilbert and the Einstein-Palatini formulations of general relativity for an arbitrary connection , Gen. Rel. Grav. 44
Original
2012
Cited alongside, same era.
R. Kallosh and A. Linde, Superconformal generalizations of the Starobinsky model , JCAP 06

Then

P. Brax and A. Davis, Conformal Inflation Coupled to Matter , JCAP 05
Original
2014
Later among the works it cites.
R. Vazirian, M. Tanhayi and Z. Motahar, Weyl-invariant extension of the Metric-Affine Gravity , Adv. High Energy Phys. 2015
Original
2015
Later among the works it cites.
M. Galante, R. Kallosh, A. Linde and D. Roest, Unity of Cosmological Inflation Attractors , Phys. Rev. Lett. 114
Original
2015
Later among the works it cites.
B. J. Broy, M. Galante, D. Roest and A. Westphal, Pole inflation — Shift symmetry and universal corrections , JHEP 12
Original
2015
Later among the works it cites.
R. Kallosh and A. Linde, Multi-field Conformal Cosmological Attractors , JCAP 12

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2020

Conformal inflation in the metric-affine geometry

Mikura, Yusuke, Tada, Yuichiro, Yokoyama, Shuichiro

Understand

Systematic understanding for classes of inflationary models is investigated from the viewpoint of the local conformal symmetry and the slightly broken global symmetry in the framework of the metric-affine geometry.

In the metric-affine geometry, which is a generalisation of the Riemannian one adopted in the ordinary General Relativity, the affine connection is an independent variable of the metric rather than given e.g.
by the Levi-Civita connection as its function.
Thanks to this independency, the metric-affine geometry can preserve the local conformal symmetry in each term of the Lagrangian contrary to the Riemannian geometry, and then the local conformal invariance can be compatible with much more kinds of global symmetries.

Built on

A. Edery and Y. Nakayama, Palatini formulation of pure R 2 R^{2} gravity yields Einstein gravity with no massless scalar , Phys. Rev. D 99
Original
1902
Earlier work this paper cites.
D. M. Ghilencea, Stueckelberg breaking of Weyl conformal geometry and applications to gravity , Phys. Rev. D 101
Original
1904
Earlier work this paper cites.
H. Azri and S. Nasri, Entropy production in affine inflation , Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
Y. Tang and Y.-L. Wu, Conformal α \alpha -attractor inflation with Weyl gauge field , JCAP 03
Original
1912
Earlier work this paper cites.
A. Zee, A Broken Symmetric Theory of Gravity , Phys. Rev. Lett. 42
1979
Earlier work this paper cites.
F. S. Accetta, D. J. Zoller and M. S. Turner, Induced Gravity Inflation , Phys. Rev. D 31
1985
Earlier work this paper cites.
A. A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity , Adv. Ser. Astrophys. Cosmol. 3
1987
Earlier work this paper cites.
K. Freese, J. A. Frieman and A. V. Olinto, Natural inflation with pseudo - Nambu-Goldstone bosons , Phys. Rev. Lett. 65
1990
Earlier work this paper cites.
F. W. Hehl, J. McCrea, E. W. Mielke and Y. Ne’eman, Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance , Phys. Rept. 258
1995
Earlier work this paper cites.
C. Armendariz-Picon, T. Damour and V. F. Mukhanov, k - inflation , Phys. Lett. B 458
1999
Earlier work this paper cites.
R. Kallosh, L. Kofman, A. D. Linde and A. Van Proeyen, Superconformal symmetry, supergravity and cosmology , Class. Quant. Grav. 17
2000
Earlier work this paper cites.
D. M. Ghilencea, Palatini quadratic gravity: spontaneous breaking of gauged scale symmetry and inflation , Eur. Phys. J. C 80
Original
2003
Earlier work this paper cites.
T. P. Sotiriou and S. Liberati, Metric-affine f(R) theories of gravity , Annals Phys. 322
2007
Earlier work this paper cites.
D. M. Ghilencea, Gauging scale symmetry and inflation: Weyl versus Palatini gravity , 2007.14733
Original
2007
Earlier work this paper cites.
F. L. Bezrukov and M. Shaposhnikov, The Standard Model Higgs boson as the inflaton , Phys. Lett. B 659
Original
2008
Earlier work this paper cites.