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We introduce the D=4 twistorial tensionfull bosonic string by considering the canonical twistorial 2--form in two--twistor space. We demonstrate its equivalence to two bosonic string models: due to Siegel (with covariant worldsheet…

High Energy Physics - Theory · Physics 2014-11-18 Sergey Fedoruk , Jerzy Lukierski

While the fundamental object in Riemannian geometry is a metric, closed string theories call for us to put a two-form gauge field and a scalar dilaton on an equal footing with the metric. Here we propose a novel differential geometry which…

High Energy Physics - Theory · Physics 2011-08-19 Imtak Jeon , Kanghoon Lee , Jeong-Hyuck Park

It is shown that the Topological Massive and ``Self-dual'' theories, which are known to provide locally equivalent descriptions of spin 1 theories in 2+1 dimensions, have different global properties when formulated over topologically…

High Energy Physics - Theory · Physics 2014-11-18 P. J. Arias , A. Restuccia

We discuss in detail how string-inspired lineal gravity can be formulated as a gauge theory based on the centrally extended Poincar\'e group in $(1+1)$ dimensions. Matter couplings are constructed in a gauge invariant fashion, both for…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Roman Jackiw

It is shown how the the introduction of a suitably defined dilatonic auxiliary field, $\Phi$ say, makes it possible for the non-linear Lagrangian for a generic elastic string model, of the kind appropriate for representing superconducting…

High Energy Physics - Theory · Physics 2017-09-27 Brandon Carter

We introduce and develop the theory of metaparticles. At the classical level, this is a world-line theory with the usual reparameterization invariance and two additional features. The theory is motivated by string theory on compact targets,…

High Energy Physics - Theory · Physics 2019-04-03 Laurent Freidel , Jerzy Kowalski-Glikman , Robert G. Leigh , Djordje Minic

General structure of classical reparametrization-invariant matter systems, mainly the relativistic particle and its $d$-brane generalization, are studied. The exposition is in close analogy with the relativistic particle in an…

Mathematical Physics · Physics 2007-05-23 V. G. Gueorguiev

It is shown how a string living in a higher dimensional space can be approximated as a point particle with squared extrinsic curvature. We consider a generalized Howe-Tucker action for such a "rigid particle" and consider its classical…

High Energy Physics - Theory · Physics 2015-07-21 Matej Pavšič

Global symmetries of the string effective action are employed to generate tilted, homogeneous Bianchi type VI_h string cosmologies from a previously known stiff perfect fluid solution to Einstein gravity. The dilaton field is not constant…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Dominic Clancy , Alexander Feinstein , James E. Lidsey , Reza Tavakol

In this paper, we explicitly construct string theory backgrounds that realise the so-called $\mathcal N=2^\star$ gauge theory. We prove the consistency of our models by calculating their partition function and obtaining the correct gauge…

High Energy Physics - Theory · Physics 2016-06-29 Ioannis Florakis , Ahmad Zein Assi

It is well known that three-dimensional Einstein's gravity without matter is topological, i.e. it does not have local propagating degrees of freedom. The main result of this work is to show that dynamics in the gravitational sector can be…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Giandomenico Palumbo

A theory of closed bosonic string in time-like gauge, related in Lorentz-invariant way with the world sheet, is considered. Absence of quantum anomalies in this theory is shown.

High Energy Physics - Theory · Physics 2007-05-23 Igor Nikitin

Preliminary investigations of the topological phase of string theory along the lines of a (restricted) $\dot{w}_{\infty}$ non-linear sigma model are provided. Gauge fixing the w gravity gauge fields by preserving a geometric identity Lorenz…

High Energy Physics - Theory · Physics 2007-05-23 H. Gasparakis

We develop the harmonic space method for conifold and use it to study local complex deformations of $T^{\ast}S^{3}$ preserving manifestly $SL(2,C) $ isometry. We derive the perturbative manifestly $SL(2,C) $ invariant partition function…

High Energy Physics - Theory · Physics 2008-11-26 El Hassan Saidi , Moulay Brahim Sedra

The moduli space of the maximally supersymmetric heterotic string in d-dimensional Minkowski space contains various components characterized by the rank of the gauge symmetries of the vacua they parametrize. We develop an approach for…

High Energy Physics - Theory · Physics 2020-06-16 Hervé Partouche , Balthazar de Vaulchier

The massive spinning particle in six-dimensional Minkowski space is described as a mechanical system with the configuration space ${\ R}% ^{5,1}\times {\ CP}^3$. The action functional of the model is unambigiously determined by the…

High Energy Physics - Theory · Physics 2011-04-15 S. L. Lyakhovich , A. A. Sharapov , K. M. Shekhter

The Lagrangian description of mechanical systems and the Legendre Transformation (considered as a passage from the Lagrangian to the Hamiltonian formulation of the dynamics) for point-like objects, for which the infinitesimal configuration…

Differential Geometry · Mathematics 2017-01-17 Katarzyna Grabowska , Janusz Grabowski , Pawel Urbanski

The Regge trajectories, upon which string theory is based, behave as rigid rotators rather than vibrating strings. The same relation, between the angular momentum, and the square of the mass, can be found in gravity, the electroweak, and…

General Physics · Physics 2012-07-09 B. H. Lavenda

It is proved the conformal invariance of the phase space formulation for topological string actions associated with the number of handles and the number of self-intersections of the world surface. Differences and similarities with the phase…

High Energy Physics - Theory · Physics 2007-05-23 R. Cartas-Fuentevilla

The tensionless limit of classical string theory may be formulated as a topological theory on the world-sheet. A vector density carries geometrical information in place of an internal metric. It is found that path-integral quantization…

High Energy Physics - Theory · Physics 2009-09-25 Bo Sundborg
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