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We clarify the relation between 2-form Einstein gravity and its topological version. The physical space of the topological version is contained in that of the Einstein gravity. Moreover a new vector field is introduced into 2-form Einstein…

High Energy Physics - Theory · Physics 2007-05-23 Akika Nakamichi

We show that almost all string theories, including the bosonic string, the superstring and $W$-string theories, possess a twisted N=2 superconformal symmetry. This enables us to establish a connection between topological gravity and the…

High Energy Physics - Theory · Physics 2009-10-22 M. Bershadsky , W. Lerche , D. Nemeschansky , N. P. Warner

We consider the BRST and superconformal properties of the ghost action of 2-D supergravity. Using the background spin structure on the worldsheet, we show that this action can be transformed by canonical field transformations to reach other…

High Energy Physics - Theory · Physics 2009-10-22 Laurent Baulieu

In this paper noncommutative gravity is constructed as a gauge theory of the noncommutative SO(2,3) group, while the noncommutativity is canonical (constant). The Seiberg-Witten map is used to express noncommutative fields in terms of the…

High Energy Physics - Theory · Physics 2015-06-19 Marija Dimitrijevic , Voja Radovanovic

When an antisymmetric tensor potential is coupled to the field strength of a gauge field via a $B\wedge F$ coupling and a kinetic term for $B$ is included, the gauge field develops an effective mass. The theory can be made invariant under a…

High Energy Physics - Phenomenology · Physics 2016-08-24 Amitabha Lahiri

Abelian topologically massive gauge theories (TMGT) provide a topological mechanism to generate mass for any p-tensor boson in any dimension. Within the Hamiltonian formulation, the embedded topological field theory (TFT) is not made…

High Energy Physics - Theory · Physics 2007-05-25 Bruno Bertrand

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

We spell out the derivation of novel features, put forward earlier in a letter, of two dimensional gravity in the strong coupling regime, at $C_L=7$, 13, 19. Within the operator approach previously developed, they neatly follow from the…

High Energy Physics - Theory · Physics 2009-10-30 Jean-Loup Gervais , Jean-François Roussel

We propose a modification of the Sp(2) covariant superfield quantization to realize a superalgebra of generating operators isomorphic to the massless limit of the corresponding superalgebra of the osp(1,2) covariant formalism. The modified…

High Energy Physics - Theory · Physics 2015-06-26 D. M. Gitman , P. Yu. Moshin

All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting on the celestial sphere. A complete…

High Energy Physics - Theory · Physics 2021-12-08 Alfredo Guevara , Elizabeth Himwich , Monica Pate , Andrew Strominger

In this letter a new gauge invariant, metric independent action is introduced from which Witten's Topological Quantum Field Theory may be obtained after gauge fixing using standard BRST techniques. In our model the BRST algebra of…

High Energy Physics - Theory · Physics 2009-10-28 R. Gianvittorio , A. Restuccia , J. Stephany

An ensemble of cosmological models based on generalized BF-theory is constructed where the role of vacuum (zero-level) coupling constants is played by topologically invariant rational intersection forms (cosmological-constant matrices) of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Vladimir N. Efremov , Nikolai V. Mitskievich , Alfonso M. Hernandez Magdaleno , Ramona Serrano Bautista

The twisting function describing a nonstandard (super-Jordanian) quantum deformation of $osp(1|2)$ is given in explicite closed form. The quantum coproducts and universal R-matrix are presented. The non-uniqueness of the twisting function…

High Energy Physics - Theory · Physics 2008-11-26 A. Borowiec , J. Lukierski , V. N. Tolstoy

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 model of two--dimensional gravity with an action depending only on a linear connection is considered. This model is a topological one, in the sense that the classical action does not contain a metric or zweibein at all. A metric and an…

General Relativity and Quantum Cosmology · Physics 2019-08-17 M. Ferraris , M. Francaviglia , I. Volovich

We study the topologically twisted osp(2|2)+osp(2|2) conformal superalgebra. The algebra includes the Lagrangians which are intrinsic to the topological field theory and composed of fermionic generators. Studying the Lagrangians through a…

High Energy Physics - Theory · Physics 2009-10-28 Noriaki Ano

It is the goal of this article to extend the notion of quantization from the standard interpretation focused on non-commuting observables defined starting from classical analogues, to the topological equivalents defined in terms of…

General Physics · Physics 2014-11-18 Andrei T. Patrascu

We construct a Weyl transverse diffeomorphism invariant theory of teleparallel gravity by employing the Weyl compensator formalism. The low-energy dynamics has a single spin two gravition without a scalar degree of freedom. By construction,…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Yu Nakayama

Four-dimensional gravity admits many equivalent formulations - metric, Einstein-Cartan, teleparallel, McDowell-Mansouri, among others - each offering distinct advantages, particularly, in view of quantization. We propose a new formulation…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Maïté Dupuis , Florian Girelli , Oleksandra Hrytseniak , Wolfgang Wieland

By using a bosonization we uncover the topological gravity structure of Labastida, Pernici and Witten in ordinary $2d$ gravity coupled to $(p,q)$ minimal models. We study the cohomology class associated with the fermionic charge of the…

High Energy Physics - Theory · Physics 2009-10-28 P. M. Llatas , S. Roy
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