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Quantum field theory successfully explains the origin of all fundamental forces except gravity due to the renormalizability problem. In this paper, we proposed a topological scenario to understand this puzzle. First, we proposed a $3+1$D…

General Relativity and Quantum Cosmology · Physics 2019-04-11 Zheng-Cheng Gu

We introduce a notion of topological M-theory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G_2 holonomy metrics on 7-manifolds, obtained from a topological…

High Energy Physics - Theory · Physics 2008-11-26 Robbert Dijkgraaf , Sergei Gukov , Andrew Neitzke , Cumrun Vafa

Topological superconductors are characterized by topological invariants that describe the number and nature of their robust boundary modes. These invariants must also have observable consequences in the bulk of the system, akin to the…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 Omri Golan , Ady Stern

A nonlocal quantum gravity theory is presented which is finite and unitary to all orders of perturbation theory. Vertex form factors in Feynman diagrams involving gravitons suppress graviton and matter vacuum fluctuation loops by…

High Energy Physics - Theory · Physics 2007-05-23 J. W. Moffat

We consider the problem of identifying the CFT's that may be dual to pure gravity in three dimensions with negative cosmological constant. The c-theorem indicates that three-dimensional pure gravity is consistent only at certain values of…

High Energy Physics - Theory · Physics 2007-06-25 Edward Witten

In this work, we present the three-dimensional Maxwell Carroll gravity by considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity theory defined in three spacetime dimensions. We show that an extension of the Maxwellian…

High Energy Physics - Theory · Physics 2021-11-03 Patrick Concha , Diego Peñafiel , Lucrezia Ravera , Evelyn Rodríguez

We propose a method for demonstrating equivalences beyond the saddlepoint approximation between quantities in quantum gravity that are defined by the Euclidean path integral, without assumptions about holographic duality. The method…

High Energy Physics - Theory · Physics 2026-02-24 Vijay Balasubramanian , Tom Yildirim

We provide a quantization of the Schwarzschild spacetime in the presence of a cosmological constant, based on midisuperspace methods developed in the spherically symmetric sector of loop quantum gravity, using in particular the 'improved…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Esteban Mato , Javier Olmedo , Sahil Saini

We extend topologically massive electrodynamics, both by adding a higher derivative action to cast the entire three-term model in Chern-Simons (CS) form, and by embedding it in an AdS background. It can then be written as the sum of two CS…

High Energy Physics - Theory · Physics 2009-11-11 S. Deser

We consider topological closed string theories on Calabi-Yau manifolds which compute superpotential terms in the corresponding compactified type II effective action. In particular, near certain singularities we compare the partition…

High Energy Physics - Theory · Physics 2008-11-26 Rajesh Gopakumar , Cumrun Vafa

Topologically massive gravity (TMG) in three dimensions provides an interesting toy model for constructing a quantum theory of gravity. Although it can be thought of as standing as a theory in its own right, it is also of interest to see…

High Energy Physics - Theory · Physics 2010-03-01 H. Lu , C. N. Pope

(2+1) dimensional gravity is equivalent to an exactly soluble non-Abelian Chern-Simons gauge field theory (E Witten 1988). Regarding this as the topological phase of quantum gravity in (2+1)d, we suggest a topological symmetry breaking by…

High Energy Physics - Theory · Physics 2007-05-23 Wei Chen

3-dimensional gravity coupled to Maxwell (or Klein-Gordon) fields is exactly soluble under the assumption of axi-symmetry. The solution is used to probe several quantum gravity issues. In particular, it is shown that the quantum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Abhay Ashtekar

In the framework of the recently proposed models of massive gravity, defined with respect to a de Sitter reference metric, we obtain new homogeneous and isotropic solutions for arbitrary cosmological matter and arbitrary spatial curvature.…

High Energy Physics - Theory · Physics 2015-06-05 David Langlois , Atsushi Naruko

We study the classical solutions of three dimensional topologically massive gravity (TMG) and its higher spin generalization, in the first order formulation. The action of higher spin TMG has been proposed in arXiv:1110.5113 to be of a…

High Energy Physics - Theory · Physics 2015-06-04 Bin Chen , Jiang Long , Jian-dong Zhang

In this paper we consider a model for gravity in 4-dimensional space-time originally proposed by Chamseddine, which may be derived by dimensional reduction and truncation from a 5-dimensional Chern-Simons theory. Its topological origin…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

We consider pure three-dimensional Maxwell-Chern-Simons electrodynamics in the static limit. We show that this theory can be mapped onto a two-dimensional gravitational model in the first-order formalism of Riemannian manifolds with…

High Energy Physics - Theory · Physics 2025-09-24 Thales F. Bittencourt , Rodrigo F. Sobreiro

We provide a well-defined variational principle for 3-dimensional flat space Einstein gravity by adding one half of the Gibbons-Hawking-York boundary term to the bulk action. We check the 0-point function, recovering consistency with…

High Energy Physics - Theory · Physics 2014-04-23 Stephane Detournay , Daniel Grumiller , Friedrich Scholler , Joan Simon

Wolfgang Kummer was a pioneer of two-dimensional gravity and a strong advocate of the first order formulation in terms of Cartan variables. In the present work we apply Wolfgang Kummer's philosophy, the `Vienna School approach', to a…

High Energy Physics - Theory · Physics 2008-06-27 D. Grumiller , R. Jackiw , N. Johansson

In three spacetime dimensions, where no graviton propagates, pure gravity is known to be finite. It is natural to inquire whether finiteness survives the coupling with matter. Standard arguments ensure that there exists a subtraction scheme…

High Energy Physics - Theory · Physics 2009-11-10 Damiano Anselmi
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