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We give a Lagrangian and display all local symmetries for N=4 topological string by Berkovits, Vafa and Siegel, the latter previously known in the superconformal gauge. Leading to a small N=4 superconformal algebra and exhibiting the…

High Energy Physics - Theory · Physics 2009-11-07 Stefano Bellucci , Anton Galajinsky

We work on a 4-manifold equipped with Lorentzian metric $g$ and consider a volume-preserving diffeomorphism which is the unknown quantity of our mathematical model. The diffeomorphism defines a second Lorentzian metric $h$, the pullback of…

Mathematical Physics · Physics 2021-01-05 Matteo Capoferri , Dmitri Vassiliev

We study the canonical structure of three-dimensional topologically massive gravity with a cosmological constant, using the full power of Dirac's method for constrained Hamiltonian systems. It is found that the dimension of the physical…

General Relativity and Quantum Cosmology · Physics 2009-05-29 M. Blagojević , B. Cvetković

We develop further a new geometrical model of a discretized string, proposed in [1] and establish its basic physical properties. The model can be considered as the natural extention of the usual Feynman amplitude of the random walks to…

High Energy Physics - Theory · Physics 2023-02-13 G. Savvidy , K. Savvidy

Hamiltonian formulation of the string with dynamical geometry and two-dimensional gravity with torsion is given. Canonical Hamiltonian equals to the linear combination of first class constraints satisfying closed algebra. It is the…

High Energy Physics - Theory · Physics 2010-11-01 M. O. Katanaev

We explain how fractional spin and statistics are relevant to (super)strings in a three-dimensional (3D) Minkowski spacetime.

High Energy Physics - Theory · Physics 2015-06-03 Luca Mezincescu , Paul K. Townsend

A manifestly T-dual invariant formulation of bosonic string theory is discussed here. It can be obtained by making both the usual string compact coordinates and their duals explicitly appear, on the same footing, in the world-sheet action.…

High Energy Physics - Theory · Physics 2016-02-09 Franco Pezzella

Redefining the vacuum state of a free twofold N=1 covariant supersymmetric string action as the one with all the world sheet fermionic excited states occupied, makes the theory anomaly free in D=4 with Minkowski signature. The theory thus…

High Energy Physics - Theory · Physics 2007-06-21 J. S. Bhattacharyya , Gautam Bhattacharya

Ooguri, Vafa, and Verlinde have outlined an approach to two-dimensional accelerating string cosmology which is based on topological string theory, the ultimate objective being to develop a string-theoretic understanding of "creating the…

High Energy Physics - Theory · Physics 2010-12-23 Brett McInnes

A string-theoretic structure of the standard model is defined having a 4-D quantum gravity metric consistent with topological and algebraic first principles. Unique topological diagrams of string states, strong and weak interactions and…

General Physics · Physics 2007-05-23 Wayne R. Lundberg

The relativistic spinning particle model, proposed in [3,4], is analyzed in a Hamiltonian framework. The spin is simulated by extending the configuration space by introducing a light-like four vector degree of freedom. The model is heavily…

High Energy Physics - Theory · Physics 2009-11-06 Sudipta Das , Subir Ghosh

A gravitational scenario is proposed where the euclidean action is invariant under the isotropic and homogeneous version of the euclidean {\it U(1)} group of local transformations of the scale factor and scalar matter field, interpreting…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pedro F. Gonzalez-Diaz

An action principle is presented for Vasiliev's Bosonic higher spin gauge theory in four spacetime dimensions. The action is of the form of a broken topological field theory, and arises by an extension of the MacDowell-Mansouri formulation…

High Energy Physics - Theory · Physics 2011-02-17 Nima Doroud , Lee Smolin

We construct the action of a relativistic spinning particle from a non-linear realization of a space-time odd vector extension of the Poincar\'e group. For particular values of the parameters appearing in the lagrangian the model has a…

High Energy Physics - Theory · Physics 2014-11-18 Roberto Casalbuoni , Joaquim Gomis , Kiyoshi Kamimura , Giorgio Longhi

We propose the model of massive spinning particle traveling in four-dimensional Minkowski space. The equations of motion of the particle follow from the fact that all the classical paths of the particle lie on a cylinder whose position in…

High Energy Physics - Theory · Physics 2020-01-08 D. S. Kaparulin , S. L. Lyakhovich , I. A. Retuntsev

We construct a string theory in three-dimensional anti-de Sitter space-time that is independent of the boundary metric. It is a topologically twisted theory of quantum gravity. We study string theories with an asymptotic N=2 superconformal…

High Energy Physics - Theory · Physics 2020-12-08 Songyuan Li , Jan Troost

The one-plaquette Hamiltonian of large N lattice gauge theory offers a constructive model of a $1+1$-dimensional string theory with a stable ground state. The free energy is found to be equivalent to the partition function of a string where…

High Energy Physics - Theory · Physics 2010-11-01 S. Chaudhuri , H. Itoyama , T. Ooshita

We present a classical conformal field theory on an arbitrary two-dimensional spacetime background. The dynamical object is a space-filling string, and the evolution may be thought as occurring on the manifold of the conformal group. The…

High Energy Physics - Theory · Physics 2016-01-12 Claudio Bunster , Alfredo Perez

We develop an exact functional method applied to the bosonic string on a shperical world sheet, in graviton and dilaton backgrounds, consistent with conformal invariance. In this method, quantum fluctuations are controled by the amplitude…

High Energy Physics - Theory · Physics 2007-05-23 Jean Alexandre , Nick E. Mavromatos

The loop quantum gravity technique is applied to the free bosonic string. A Hilbert space similar to loop space in loop quantum gravity as well as representations of diffeomorphism and hamiltonian constraints on it are constructed. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Artem Starodubtsev