Built on

T. Suyama, T. Takahashi, M. Yamaguchi and S. Yokoyama, On Classification of Models of Large Local-Type Non-Gaussianity , JCAP 1012
Original
1979
Earlier work this paper cites.
Birkhäuser, Basel, 2000
E. Gawrilow and M. Joswig, polymake · 2000
Earlier work this paper cites.
J. M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models , JHEP 05
2003
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory , Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
Springer, Berlin, 2006
E. Gawrilow and M. Joswig, Flexible object hierarchies in polymake (extended abstract) , in Mathematical software—ICMS 2006 , vol. 4151 of Lecture Notes in Comput. Sci. , pp. 219–221 · 2006
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, The Amplituhedron , JHEP 10
Original
2007
Earlier work this paper cites.
Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2009
M. Joswig, B. Müller and A. Paffenholz, polymake · 2009
Earlier work this paper cites.
X. Chen and Y. Wang, Large non-Gaussianities with Intermediate Shapes from Quasi-Single Field Inflation , Phys. Rev. D81
Original
2010
Earlier work this paper cites.
X. Chen and Y. Wang, Quasi-Single Field Inflation and Non-Gaussianities , JCAP 1004
Original
2010
Earlier work this paper cites.
C. T. Byrnes, K. Enqvist and T. Takahashi, Scale-dependence of Non-Gaussianity in the Curvaton Model , JCAP 1009
Original
2010
Earlier work this paper cites.
E. Gawrilow, M. Joswig, T. Rörig and N. Witte, Drawing polytopal graphs with polymake
2010
Earlier work this paper cites.

Similar

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2011
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2012
Cited alongside, same era.

Then

P. Benincasa, New structures in scattering amplitudes: a review , Int. J. Mod. Phys. A29
Original
2014
Later among the works it cites.
F. Cachazo, S. He and E. Y. Yuan, Scattering equations and Kawai-Lewellen-Tye orthogonality , Phys. Rev. D90
Original
2014
Later among the works it cites.
F. Cachazo, S. He and E. Y. Yuan, Scattering of Massless Particles in Arbitrary Dimensions , Phys. Rev. Lett. 113
Original
2014
Later among the works it cites.
F. Cachazo, S. He and E. Y. Yuan, Scattering of Massless Particles: Scalars, Gluons and Gravitons , JHEP 07
Original
2014
Later among the works it cites.
D. Anninos, T. Anous, D. Z. Freedman and G. Konstantinidis, Late-time Structure of the Bunch-Davies De Sitter Wavefunction , JCAP 1511

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2017

Cosmological Polytopes and the Wavefunction of the Universe

Arkani-Hamed, Nima, Benincasa, Paolo, Postnikov, Alexander

Understand

We present a connection between the physics of cosmological time evolution and the mathematics of positive geometries, roughly analogous to similar connections seen in the context of scattering amplitudes.

We consider the wavefunction of the universe in a class of toy models of conformally coupled scalars (with non-conformal interactions) in FRW cosmologies.
The contribution of each Feynman diagram to the wavefunction of the universe is associated with a certain universal rational integrand, which we identify as the canonical form of a "cosmological polytope", which have an independent, intrinsic definition, making no reference to physics.
The singularity structure of the wavefunction for this model of scalars is common to all theories, and is geometrized by the cosmological polytope.

Built on

T. Suyama, T. Takahashi, M. Yamaguchi and S. Yokoyama, On Classification of Models of Large Local-Type Non-Gaussianity , JCAP 1012
Original
1979
Earlier work this paper cites.
Birkhäuser, Basel, 2000
E. Gawrilow and M. Joswig, polymake · 2000
Earlier work this paper cites.
J. M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models , JHEP 05
2003
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory , Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
Springer, Berlin, 2006
E. Gawrilow and M. Joswig, Flexible object hierarchies in polymake (extended abstract) , in Mathematical software—ICMS 2006 , vol. 4151 of Lecture Notes in Comput. Sci. , pp. 219–221 · 2006
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, The Amplituhedron , JHEP 10
Original
2007
Earlier work this paper cites.
Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2009
M. Joswig, B. Müller and A. Paffenholz, polymake · 2009
Earlier work this paper cites.
X. Chen and Y. Wang, Large non-Gaussianities with Intermediate Shapes from Quasi-Single Field Inflation , Phys. Rev. D81
Original
2010
Earlier work this paper cites.
X. Chen and Y. Wang, Quasi-Single Field Inflation and Non-Gaussianities , JCAP 1004
Original
2010
Earlier work this paper cites.
C. T. Byrnes, K. Enqvist and T. Takahashi, Scale-dependence of Non-Gaussianity in the Curvaton Model , JCAP 1009
Original
2010
Earlier work this paper cites.
E. Gawrilow, M. Joswig, T. Rörig and N. Witte, Drawing polytopal graphs with polymake
2010
Earlier work this paper cites.