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Related papers: Area-preserving structure of 2d-gravity

200 papers

We investigate the properties of 2-D gravity in the Batalin and Vilkovisky quantization scheme. We find a factorized structure which exhibits duality properties analogous to those existing in the topological theories of forms. New conformal…

High Energy Physics - Theory · Physics 2007-05-23 Laurent Baulieu

We consider 2+1 dimensional off-shell N = 1 pure supergravity that is constructed from graviton, gravitino and auxiliary field. We show that the $R^2$ supersymmetric invariant and $R^2_{\mu \nu}$ supersymmetric invariant are expressed as…

High Energy Physics - Theory · Physics 2016-05-25 Norihiro Iizuka , Akinori Tanaka

We discuss some classical and quantum properties of 2d gravity models involving metric and a scalar field. Different models are parametrized in terms of a scalar potential. We show that a general Liouville-type model with exponential…

High Energy Physics - Theory · Physics 2009-09-17 J. Russo , A. A. Tseytlin

The issue of whether some manifestations of gravitation in the quantum domain, are indicative or not of a non-geometrical aspect in gravitation is discussed. We examine some examples that have been considered in this context, providing a…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. Chryssomalakos , D. Sudarsky

We discuss a local, diff-invariant quantum effective action for gravity that captures the trace anomaly via a counter-term. We discuss why this counter-term is the most significant among infinitely many possible ones, and show how the…

High Energy Physics - Theory · Physics 2025-05-19 Gregory Gabadadze , Giorgi Tukhashvili

We remark that the weak coupling regime of the stochastic stabilization of 2D quantum gravity has a unique perturbative vacuum, which does not support instanton configurations. By means of Monte Carlo simulations we show that the…

High Energy Physics - Theory · Physics 2015-06-26 Oscar Diego , Jose Gonzalez

We produce new examples of Riemannian manifolds with scalar curvature lower bounds and collapsing behavior along codimension 2 submanifolds. Applications of this construction are given, primarily on questions concerning the stability of…

Differential Geometry · Mathematics 2025-01-17 Demetre Kazaras , Kai Xu

We work out the effective gravitational action for 2D massive Euclidean fermions in a small mass expansion. Besides the leading Liouville action, the order $m^2$ gravitational action contains a piece characteristic of the Mabuchi action,…

High Energy Physics - Theory · Physics 2021-11-25 Adel Bilal , Corinne de Lacroix , Harold Erbin

We construct a gravity dual to a system with multiple (2+1)-dimensional layers in a (3+1)-dimensional ambient theory. Following a top-down approach, we generate a geometry corresponding to the intersection of D3- and D5-branes along 2+1…

High Energy Physics - Theory · Physics 2019-03-27 Niko Jokela , Jose Manuel Penin , Alfonso V. Ramallo , Dimitrios Zoakos

We investigate a model of two-dimensional gravity with arbitrary scalar potential obtained by gauging a deformation of de Sitter or more general algebras, which accounts for the existence of an invariant energy scale. We obtain explicit…

High Energy Physics - Theory · Physics 2009-11-07 S. Mignemi

The evolution equation is used as the fundamental equation of field theory, which is described entirely by the geometry of the four-dimensional space. The evolution kernel determines the covariant action of physical fields by the proper…

General Relativity and Quantum Cosmology · Physics 2019-07-19 Yuri Vladimirovich Gusev

In the paper, one of the physical consequences of the recently developed theory of dual relativity (TDR) is considered. The general framework of TDR is described and some results previously obtained within this theory are summarized. The…

General Relativity and Quantum Cosmology · Physics 2026-03-31 V. I. Tselyaev

In the framework of the prepotential description of superspace two-dimensional $(2,2)$ supergravity, we discuss the construction of invariant integrals. In addition to the full superspace measure, we derive the measure for chiral…

High Energy Physics - Theory · Physics 2009-10-28 M. T. Grisaru , M. E. Wehlau

We present an investigation on the invariance properties of noncommutative Yang-Mills theory in two dimensions under area preserving diffeomorphisms. Stimulated by recent remarks by Ambjorn, Dubin and Makeenko who found a breaking of such…

High Energy Physics - Theory · Physics 2009-11-11 A. Bassetto , G. De Pol , A. Torrielli , F. Vian

In this work we consider the full interacting effective actions for fundamental strings and D-branes in arbitrary bosonic type II supergravity backgrounds. The explicit form of these actions is given in terms of component fields, up to…

High Energy Physics - Theory · Physics 2009-11-10 Donald Marolf , Luca Martucci , Pedro J. Silva

Considering a five-dimensional (5D) Riemannian spacetime with a particular stationary Ricci-flat metric, we obtain in the framework of the induced matter theory an effective 4D static and spherically symmetric metric which give us ordinary…

General Relativity and Quantum Cosmology · Physics 2009-09-28 Jose Edgar Madriz Aguilar , Mauricio Bellini

The effective action for the low energy scattering of two gravitons with a D-brane in the presence of a constant antisytmetric $B$ field in bosonic string theory is calculated and the modification to the standard D-brane action to first…

High Energy Physics - Theory · Physics 2009-11-07 F. Ardalan , H. Arfaei , M. R. Garousi , A. Ghodsi

A superspace formulation of IIB supergravity which includes the field strengths of the duals of the usual physical one, three and five-form field strengths as well as the eleven-form field strength is given. The superembedding formalism is…

High Energy Physics - Theory · Physics 2009-11-18 E. Bergshoeff , P. S. Howe , S. Kerstan , L. Wulff

We couple c=-2 matter to 2-dimensional gravity within the framework of dynamical triangulations. We use a very fast algorithm, special to the c=-2 case, in order to test scaling of correlation functions defined in terms of geodesic distance…

High Energy Physics - Lattice · Physics 2009-10-30 J. Ambjorn , K. N. Anagnostopoulos , T. Ichihara , L. Jensen , N. Kawamoto , Y. Watabiki , K. Yotsuji

We construct a two-dimensional action that is an extension of spherically symmetric Einstein-Lanczos-Lovelock gravity. The action contains arbitrary functions of the areal radius and the norm squared of its gradient, but the field equations…

General Relativity and Quantum Cosmology · Physics 2017-06-13 Gabor Kunstatter , Hideki Maeda , Tim Taves