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We find the precise relationship between the loop gas method and the matrix quantum mechanics approach to two-dimensional string theory. The two systems are distinguished by different target spaces ($\Z$ and $\R$, respectively) as far as…

High Energy Physics - Theory · Physics 2009-10-22 Ivan K. Kostov , Matthias Staudacher

A novel routine to investigate the scalar fields in a cosmological context is discussed in the framework of the Hamiltonian formalism. Starting from the Einstein-Hilbert action coupled to a Lagrangian density that contains two components -…

General Relativity and Quantum Cosmology · Physics 2013-09-16 Alex E. Bernardini , O. Bertolami

Exact solutions depending on one variable of gravitational theory with antisymmetric tensor and a coupled dilaton field are obtained in arbitrary space-time dimensions. These solutions are relevant to M-theory, type IIA and type IIB…

High Energy Physics - Theory · Physics 2025-01-17 M. Fakhredin , W. A. Sabra

We investigate the enlarged class of open finite strings in $(2+1)D$ space-time. The new dynamical system related to this class is constructed and quantized here. As the result, the energy spectrum of the model is defined by a simple…

Mathematical Physics · Physics 2011-06-27 S. V. Talalov

We study some properties of target space strings constructed from (2,1) heterotic strings. We argue that world-sheet complexification is a general property of the bosonic sector of such target world-sheets. We give a target space…

High Energy Physics - Theory · Physics 2009-10-30 J. L. F. Barbon , M. A. Vazquez-Mozo

We consider string theory on the Lorentzian Melvin geometry, which is obtained by analytically continuing the two-parameter Euclidean Melvin background. Because this model provides a solvable conformal field theory that describes…

High Energy Physics - Theory · Physics 2008-11-26 Ta-Sheng Tai

I present a new class of topological string theories, and discuss them in two dimensions as candidates for the string description of large-$N$ QCD. The starting point is a new class of topological sigma models, whose path integral is…

High Energy Physics - Theory · Physics 2007-05-23 Petr Horava

The new principle of constrained twistor-like variables is proposed for construction of the Cartan 1-forms on the worldsheet of the D=3,4,6 bosonic strings. The corresponding equations of motion are derived. Among them there are two…

High Energy Physics - Theory · Physics 2016-09-06 A. A. Kapustnikov , S. A. Ulanov

We analyze the physical (reduced) space of non-local theories, around the fixed points of these systems, by analyzing: i) the Hamiltonian constraints appearing in the 1+1 formulation of those theories, ii) the symplectic two form in the…

High Energy Physics - Theory · Physics 2009-11-10 Joaquim Gomis , Kiyoshi Kamimura , Toni Ramirez

Cosmological implication of rolling tachyons is reported in the context of effective field theory. With a brief review of rolling tachyons in both flat and curved spacetimes, we study the string cosmological model with both tachyon and…

High Energy Physics - Theory · Physics 2007-05-23 Chanju Kim , Hang Bae Kim , Yoonbai Kim , O-Kab Kwon , Chong Oh Lee

Integrable structure of the symmetry reduced dynamics of massless bosonic sector of the heterotic string effective action is presented. For string background equations that govern in the space-time of $D$ dimensions ($D\ge 4$) the dynamics…

High Energy Physics - Theory · Physics 2009-09-02 G. A. Alekseev

To illustrate our recent discussions of the target space-times in general orbifold-string theories of permutation-type, we return here to a detailed analysis of some simple examples of this type, namely an explicit set of…

High Energy Physics - Theory · Physics 2010-10-12 M. B. Halpern

We investigate classical dynamics of the bosonic string in the background metric, antisymmetric and dilaton fields. We use canonical methods to find Hamiltonian in terms of energy-momentum tensor components. The later are secondary…

High Energy Physics - Theory · Physics 2009-11-10 Branislav Sazdovic

We investigate Wilsonian effective field theory as a model for the construction of the tachyon potential and nonperturbative vacua in closed string field theory. In a number of cases we are able to find the effective potential exactly, and…

High Energy Physics - Theory · Physics 2024-02-06 Theodore Erler , Atakan Hilmi Fırat

We obtain background independent solutions for an open string ending on D-brane, in variable external fields. Explicit solution of the boundary conditions is given for background metric and NS-NS two-form gauge field, depending on the…

High Energy Physics - Theory · Physics 2007-05-23 P. Bozhilov

We study the space of open string effective field theories by combining the constraint of unitarity and monodromy relations for the four-point amplitude. The latter is a reflection of an underlying disk correlator with singularities at the…

High Energy Physics - Theory · Physics 2023-10-18 Li-Yuan Chiang , Yu-tin Huang , He-Chen Weng

Closed string tachyons have long been somewhat mysterious. We note that there is often a regime in the classical moduli space in which one can systematically compute the effective action for such fields. In this regime, the tachyon is…

High Energy Physics - Theory · Physics 2009-11-10 Michael Dine , Elie Gorbatov , Igor R. Klebanov , Michael Krasnitz

We find the Hamiltonian for physical excitations of the classical bosonic string propagating in the AdS_5 x S^5 space-time. The Hamiltonian is obtained in a so-called uniform gauge which is related to the static gauge by a 2d duality…

High Energy Physics - Theory · Physics 2009-11-10 G. Arutyunov , S. Frolov

Recently, there has been an increasing interest in modelling and computation of physical systems with neural networks. Hamiltonian systems are an elegant and compact formalism in classical mechanics, where the dynamics is fully determined…

Numerical Analysis · Mathematics 2022-06-28 Elena Celledoni , Andrea Leone , Davide Murari , Brynjulf Owren

The theory of relativistic strings is considered in frames of Hamiltonian formalism and Dirac's quantization procedure. A special gauge fixing condition is formulated, related with the world sheet of the string in Lorentz-invariant way. As…

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