The Holst spin foam model via cubulations by Aristide Baratin, Cecilia Flori, Thomas Thiemann

“…Spin foam models are an attempt at a covariant or path integral formulation of canonical loop quantum gravity. …”
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How-to Compute EPRL Spin Foam Amplitudes by Pietro Donà, Pietropaolo Frisoni

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Invited review: The new spin foam models and quantum gravity by Alejandro Perez

“… In this article, we give a systematic definition of the recently introduced spin foam models for four-dimensional quantum  gravity, reviewing the main results on their semiclassical limit on fixed discretizations. …”
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Decorated tensor network renormalization for lattice gauge theories and spin foam models by Bianca Dittrich, Sebastian Mizera, Sebastian Steinhaus

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Quantum Gravity as a Broken Symmetry Phase of a BF Theory by Aleksandar Miković

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Teorías relacionales sobre la estructura del espacio-tiempo: física, filosofía, teología by Miguel Lorente Páramo

Subjects: “…space-time, relational theory, spin networks, urs theory, space-time code, causal sets, spin foams, quantum causal histories, causal cubic lattice, Creation, God rationality, Incarnation…”
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Inflationary Cosmology in Modified Gravity Theories by Kazuharu Bamba, Sergei D. Odintsov

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Group field theories for all loop quantum gravity by Daniele Oriti, James P Ryan, Johannes Thürigen

“…Group field theories represent a second quantized reformulation of the loop quantum gravity state space and a completion of the spin foam formalism. States of the canonical theory, in the traditional continuum setting, have support on graphs of arbitrary valence. …”
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Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter by Merced Montesinos, Mercedes Velázquez

“…As an application of this formalism, the action principle used by Engle, Pereira, and Rovelli in their spin foam model for gravity is recovered and the coupling of the cosmological constant in such a formulation is obtained.…”
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Emergent Braided Matter of Quantum Geometry by Sundance Bilson-Thompson, Jonathan Hackett, Louis Kauffman, Yidun Wan

“…These networks are a generalisation of the spin networks proposed by Penrose and those in models of background independent quantum gravity theories, such as Loop Quantum Gravity and Spin Foam models. This program has been developed in two parallel but complimentary schemes, namely the trivalent and tetravalent schemes. …”
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Quantum gravity kinematics from extended TQFTs by Bianca Dittrich, Marc Geiller

“…This is essential in order to find the best starting point for the construction of the dynamics of quantum gravity, and will enable the study of possible phases of spin foam models and group field theories from a new perspective.…”
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Coarse graining of spin net models: dynamics of intertwiners by Bianca Dittrich, Mercedes Martín-Benito, Erik Schnetter

“…Spin foams are models of quantum gravity and therefore quantum space time. …”
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Time evolution as refining, coarse graining and entangling by Bianca Dittrich, Sebastian Steinhaus

“…This applies in particular to geometric theories, such as spin foams. We point out that this provides a construction principle for the physical vacuum in quantum gravity theories and more generally allows construction of a (cylindrically) consistent continuum limit of the theory.…”
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Lorentzian quantum gravity via Pachner moves: one-loop evaluation by Johanna N. Borissova, Bianca Dittrich

“…We see the work presented here as a first step towards establishing the existence of the non-perturbative Lorentzian path integral for Regge calculus and related frameworks such as spin foams. An extensive appendix provides an overview of Lorentzian Regge calculus, using the recently established concept of the complexified Regge action, and derives useful geometric formulae and identities needed in the main text.…”
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