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We present a simple argument which determines the critical value of the anomaly coefficient in four dimensional conformal factor quantum gravity, at which a phase transition between a smooth and elongated phase should occur. The argument is…

High Energy Physics - Theory · Physics 2009-10-30 I. Antoniadis , P. O. Mazur , E. Mottola

We construct N=1 supersymmetrisations of some recently-proposed theories of critical gravity, conformal gravity, and extensions of critical gravity in four dimensions. The total action consists of the sum of three separately off-shell…

High Energy Physics - Theory · Physics 2015-05-28 H. Lu , C. N. Pope , E. Sezgin , L. Wulff

Asymptotically safe quantum fluctuations of gravity can uniquely determine the value of the gauge coupling for a large class of grand unified models. In turn, this makes the electromagnetic fine-structure constant calculable. The balance of…

High Energy Physics - Theory · Physics 2018-05-16 Astrid Eichhorn , Aaron Held , Christof Wetterich

We present a candidate quantum field theory of gravity with dynamical critical exponent equal to z=3 in the UV. (As in condensed matter systems, z measures the degree of anisotropy between space and time.) This theory, which at short…

High Energy Physics - Theory · Physics 2009-04-22 Petr Horava

We present a new development in our approach to the covariant quantization of superstrings in 10 dimensions which is based on a gauged WZNW model. To incorporate worldsheet diffeomorphisms we need the quartet of ghosts $(b_{zz},c^{z},…

High Energy Physics - Theory · Physics 2015-06-26 P. A. Grassi , G. Policastro , P. van Nieuwenhuizen

A unified theory of the non-Abelian gauge interactions with gravity in the framework of a discretized Kaluaza-Kleine theory is constructed with a modified Dirac operator and wedge product. All the couplings of chiral spinors to the…

High Energy Physics - Theory · Physics 2017-03-08 Ai Viet Nguyen , Van Dat Nguyen , Suan Han Nguyen , Kameshwar C. Wali

We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PM spin two particles requires the…

High Energy Physics - Theory · Physics 2019-09-04 Euihun Joung , Karapet Mkrtchyan , Gabriel Poghosyan

We extend the general framework of perturbative quantum field theory developped for the pure Yang-Mills model to gravity. First we present a variant of the elimination procedure of the anomalies in the second order of perturbation theory.…

High Energy Physics - Theory · Physics 2022-09-13 Dan-Radu Grigore

We provide evidence that the KPZ exponents in two-dimensional quantum gravity can be interpreted as scaling exponents of correlation functions which are functions of the invariant geodesic distance between the fields.

High Energy Physics - Lattice · Physics 2009-10-28 J. Ambjorn , K. N. Anagnostopoulos , U. Magnea , G. Thorleifsson

A two-dimensional CFT dual to a semiclassical theory of gravity in three dimensions must have a large central charge $c$ and a sparse low energy spectrum. This constrains the OPE coefficients and density of states of the CFT via the…

High Energy Physics - Theory · Physics 2023-01-04 Jeevan Chandra , Scott Collier , Thomas Hartman , Alexander Maloney

In a recent paper [1], it was introduced a new class of gravitational theories with two local degrees of freedom. The existence of these theories apparently challenges the distinctive role of general relativity as the unique non-linear…

General Relativity and Quantum Cosmology · Physics 2018-10-30 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati

The two-dimensional theory of gravity describing a graviton-dilaton system is considered. The graviton-dilaton coupling can be fixed such that the quantum theory remains free of the conformal anomaly for any conformal dimension of the…

High Energy Physics - Theory · Physics 2009-10-22 T. T. Burwick , A. H. Chamseddine

As a preparation for the study of {\it arbitrary} extensions of $d=2$ gravity we present a detailed investigation of $SO(N)$ supergravity. By gauging a chiral, nilpotent subgroup of the $OSp(N|2)$ Wess-Zumino-Witten model we obtain an all…

High Energy Physics - Theory · Physics 2009-10-22 Alexander Sevrin , Kris Thielemans , Walter Troost

The continual production of long wavelength gravitons during primordial inflation endows graviton loop corrections with secular growth factors. During a prolonged period of inflation these factors eventually overwhelm the small…

General Relativity and Quantum Cosmology · Physics 2024-09-19 S. P. Miao , N. C. Tsamis , R. P. Woodard

Starting from the original Einstein action, sometimes called the Gamma squared action, we propose a new setup to formulate modified theories of gravity. This can yield a theory with second order field equations similar to those found in…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Christian G. Boehmer , Erik Jensko

We consider a class of Lorentz gauge gravity theories within Riemann-Cartan geometry which admits a topological phase in the gravitational sector. The dynamic content of such theories is determined only by the contortion part of the Lorentz…

General Relativity and Quantum Cosmology · Physics 2012-04-12 D. G. Pak , Youngman Kim , Takuya Tsukioka

The loss of criticality in the form of weak first-order transitions or the end of the conformal window in gauge theories can be described as the merging of two fixed points that move to complex values of the couplings. When the complex…

High Energy Physics - Theory · Physics 2020-05-06 Anton F. Faedo , Carlos Hoyos , David Mateos , Javier G. Subils

We investigate the critical properties of the spin-3/2 Blume-Capel model in two dimensions on a random lattice with quenched connectivity disorder. The disordered system is simulated by applying the cluster hybrid Monte Carlo update…

Statistical Mechanics · Physics 2015-06-25 F. W. S. Lima , J. A. Plascak

Earlier Monte-Carlo calculations on the dissipative two-dimensional XY model are extended in several directions. We study the phase diagram and the correlation functions when dissipation is very small, where it has properties of the…

Strongly Correlated Electrons · Physics 2017-01-04 Lijun Zhu , Changtao Hou , Chandra M. Varma

We explore the implications of recent work by Br\'ezin and Zinn-Justin, applying the renormalization group techniques from critical phenomena to the scaling limit of matrix models in two-dimensional quantum gravity. They endeavor to get the…

High Energy Physics - Theory · Physics 2009-10-22 Carles Ayala