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Using the renormalization-group formalism, a sigma model of a special type- in which the metric and the dilaton depend explicitly on one of the string coordinates only-is investigated near two dimensions. It is seen that dilatonic gravity…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

In this note, we gauge the rigid vectorial supersymmetry of the two-dimensional Poisson sigma model presented in arXiv:1503.05625. We show that the consistency of the construction does not impose any further constraints on the differential…

High Energy Physics - Theory · Physics 2015-09-30 Roberto Bonezzi , Per Sundell , Alexander Torres-Gomez

In the present article, we study the space-time geometry felt by probe bosonic string moving in antisymmetric and dilaton background fields. This space-time geometry we shall call the stringy geometry. In particular, the presence of the…

High Energy Physics - Theory · Physics 2007-05-23 Branislav Sazdovic

Four--dimensional Einstein--Maxwell--dilaton--axion system restricted to space--times with one non--null Killing symmetry is formulated as the three--dimensional gravity coupled sigma--model. Several alternative representations are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. V. Gal'tsov , O. V. Kechkin

The formulation of 2d-dilaton theories, like spherically reduced Einstein gravity, is greatly facilitated in a formulation as a first order theory with nonvanishing bosonic torsion. This is especially also true at the quantum level. The…

High Energy Physics - Theory · Physics 2007-05-23 W. Kummer , M. Ertl , T. Strobl

A large class of solvable models of dilaton gravity in two space-time dimensions, capable of describing black hole geometry, are analyzed in a unified way as non-linear sigma models possessing a special symmetry. This symmetry, which can be…

High Energy Physics - Theory · Physics 2011-07-19 Y. Kazama , Y. Satoh , A. Tsuchiya

The integrability of N=(2,2) dilaton supergravity in two dimensions is studied by the use of the graded Poisson Sigma model approach. Though important differences compared to the purely bosonic models are found, the general analytic…

High Energy Physics - Theory · Physics 2011-09-13 L. Bergamin , W. Kummer

$N=2$ string theories are formulated in space-times with 2 space and 2 time dimensions. If the world-sheet matter system consists of 2 chiral superfields, the space-time is Kahler and the dynamics are those of anti-self-dual gravity. If…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Hull

Transformations between group coordinates of three--dimensional conformal sigma models in the flat background and their flat, i.e. Riemannian coordinates enable to find general dilaton fields for three-dimensional flat sigma models. By the…

High Energy Physics - Theory · Physics 2007-05-23 L. Hlavaty

We extend the classical integrability of the CGHS model of 2d dilaton gravity [1] to a larger class of models, allowing the gravitational part of the action to depend more generally on the dilaton field and, simultaneously, adding fermion-…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Heiko Pelzer , Thomas Strobl

We study the gravitational interaction involving the dilaton and the anti-symmetrical $B_{\mu\nu}$ fields that arises in the low-energy limit of string theory. It is shown that such interaction can be derived from a geometrical action…

High Energy Physics - Theory · Physics 2010-04-06 Alberto Saa

We construct a two-dimensional topological sigma model whose target space is endowed with a Poisson algebra for differential forms. The model consists of an equal number of bosonic and fermionic fields of worldsheet form degrees zero and…

High Energy Physics - Theory · Physics 2015-09-30 Cesar Arias , Nicolas Boulanger , Per Sundell , Alexander Torres-Gomez

A large class of two-dimensional dilaton-gravity theories in asymptotically AdS$_2$ spacetimes are holographically dual to a matrix integral, interpreted as an ensemble average over Hamiltonians. Viewing these theories as Jackiw-Teitelboim…

High Energy Physics - Theory · Physics 2021-10-27 Gustavo J. Turiaci , Mykhaylo Usatyuk , Wayne W. Weng

We study a deformation of a $2$-graded Poisson algebra where the functions of the phase space variables are complemented by linear functions of parity odd velocities. The deformation is carried by a $2$-form $B$-field and a bivector $\Pi$,…

High Energy Physics - Theory · Physics 2022-01-05 E. Boffo , P. Schupp

The properties of a string-inspired two-dimensional theory of gravity are studied. The post-Newtonian and weak-field approximations, `stellar' structure and cosmological solutions of this theory are developed. Some qualitative similarities…

High Energy Physics - Theory · Physics 2009-10-22 R. B. Mann , S. F. Ross

We investigate the gauging of a two-dimensional deformation of the Poincare algebra, which accounts for the existence of an invariant energy scale. The model describes 2D dilaton gravity with torsion. We obtain explicit solutions of the…

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

We explore models with emergent gravity and metric by means of numerical simulations. A particular type of two-dimensional non-linear sigma-model is regularized and discretized on a quadratic lattice. It is characterized by lattice…

High Energy Physics - Theory · Physics 2015-06-11 D. Sexty , C. Wetterich

The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important…

High Energy Physics - Theory · Physics 2010-11-19 D. Grumiller , W. Kummer , D. V. Vassilevich

We construct a gauge theory based on general nonlinear Lie algebras. The generic form of `dilaton' gravity is derived from nonlinear Poincar{\' e} algebra, which exhibits a gauge-theoretical origin of the non-geometric scalar field in…

High Energy Physics - Theory · Physics 2017-02-01 Noriaki Ikeda , Izawa K. -I

We review nonlinear gauge theory and its application to two-dimensional gravity. We construct a gauge theory based on nonlinear Lie algebras, which is an extension of the usual gauge theory based on Lie algebras. It is a new approach to…

High Energy Physics - Theory · Physics 2009-10-22 Noriaki Ikeda