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We describe a method of writing down interacting equations for all the modes of the bosonic open string. It is a generalization of the loop variable approach that was used earlier for the free, and lowest order interacting cases. The…

High Energy Physics - Theory · Physics 2011-04-20 B. Sathiapalan

We show that the Casson knot invariant, linking number and Milnor's triple linking number, together with a certain 2-string link invariant $V_2$, are necessary and sufficient to express any string link Vassiliev invariant of order two.…

Geometric Topology · Mathematics 2009-09-29 Jean-Baptiste Meilhan

We compute the cosmological reduction of general string theories, including bosonic, heterotic and type II string theory to order $\alpha'^{3}$, i.e., with up to eight derivatives. To this end we refine recently introduced methods that…

High Energy Physics - Theory · Physics 2021-11-24 Tomas Codina , Olaf Hohm , Diego Marques

We consider the perturbative contributions to the R^4, D^4 R^4 and D^6 R^4 interactions in toroidally compactified type II string theory. These BPS interactions do not receive perturbative contributions beyond genus three. We derive Poisson…

High Energy Physics - Theory · Physics 2016-01-27 Anirban Basu

It is well-established that compactifying type I string theory on a circle \( S^{(1)} \) transforms the theory under T-duality into type I' theory, the compactification of type IIA string theory on the orbifold \(…

High Energy Physics - Theory · Physics 2025-04-01 Mohammad R. Garousi

We study relation between the gauge invariant quantity obtained in [arXiv:1908.09784] and the Feynman diagrams in the dressed $ \mathcal B_0 $ gauge in the open cubic string field theory. We derive a set of recurrence relations that hold…

High Energy Physics - Theory · Physics 2021-05-26 Toru Masuda , Hiroaki Matsunaga , Toshifumi Noumi

The circle compactification of M-theory is dual to type IIA string theory, requiring that the dimensional reduction of the M-theory couplings \((t_8 t_8 - \frac{1}{4} \epsilon_8 \epsilon_8) R^4\) must reproduce the type IIA one-loop…

High Energy Physics - Theory · Physics 2025-10-15 Mohammad R. Garousi

The gauge invariant loop variable formalism and old covariant formalism for bosonic open string theory are compared in this paper. It is expected that for the free theory, after gauge fixing, the loop variable fields can be mapped to those…

High Energy Physics - Theory · Physics 2009-11-11 B. Sathiapalan

For a particular class of backgrounds, equations of motion for string sigma models targeted in mutually dual Poisson-Lie groups are equivalent. This phenomenon is called the Poisson-Lie T-duality. On the level of the corresponding string…

High Energy Physics - Theory · Physics 2018-05-09 Branislav Jurco , Jan Vysoky

We explore gauge fields - strings duality by means of the loop equations and the zigzag symmetry. The results are striking and incomplete. Striking - because we find that the string ansatz proposed in [A.M. Polyakov, hep-th/9711002]…

High Energy Physics - Theory · Physics 2009-10-31 A. Polyakov , V. Rychkov

In presence of a static pair of sources, the spectrum of low-lying states of any confining gauge theory in D space-time dimensions is described, at large source separations, by an effective string theory. Recently two important advances…

High Energy Physics - Lattice · Physics 2014-01-08 Marco Billò , Michele Caselle , Davide Fioravanti , Ferdinando Gliozzi , Marco Meineri , Roberto Pellegrini , Roberto Tateo

We construct a proposal for effective bosonic field theory at order $ \alpha'^3 $ in twelve dimensions, whose compactification on a circle and on a torus respectively yields eleven-dimensional and type IIB supergravity theories at…

High Energy Physics - Theory · Physics 2019-01-23 Hamid R. Bakhtiarizadeh

We use compatibility of O-plane action with nonlinear T-duality as a guiding principle to find all NS-NS couplings in the O-plane action at order $\alpha'^2$. We find that the dilaton couplings appear in the string frame only via the…

High Energy Physics - Theory · Physics 2015-05-20 Mohammad R. Garousi

The nature of duality symmetries is explored in closed bosonic string theory, particularly in the case of a four-dimensional target space admitting a one-parameter isometry. It appears that the S-duality of string theory behaves analogously…

High Energy Physics - Theory · Physics 2007-05-23 Ian R. Pinkstone

In six dimensions there exists a unique one-parameter family of non-linear conformal electrodynamics for a chiral 2-form gauge field which includes (in a free-field limit) the linear chiral 2-form theory and is related, by dimensional…

High Energy Physics - Theory · Physics 2024-11-20 Nihat Sadik Deger , Ángel J. Murcia , Dmitri P. Sorokin

The evolution of a closed bosonic string is envisaged in the time-dependent background of its massless modes. A duality transformation is implemented on the spatial component of string coordinates to obtain a dual string. It is shown that…

High Energy Physics - Theory · Physics 2009-10-22 Jnanadeva Maharana

The main limitations of string field theory arise because its present formulation requires a background representing a classical solution, a background defined by a strictly conformally invariant theory. Here we sketch a construction for a…

High Energy Physics - Theory · Physics 2009-10-30 Barton Zwiebach

We investigate how T-duality and solving the boundary conditions of the open bosonic string are related. We start by considering the T-dualization of the open string moving in the constant background. We take that the coordinates of the…

High Energy Physics - Theory · Physics 2019-10-21 Ljubica Davidović , Branislav Sazdović

An action for a string and a particle with two timelike dimensions is proposed and analyzed. Due to new gauge symmetries and associated constraints, the motion of each system in the background of the other is equivalent to effective motion…

High Energy Physics - Theory · Physics 2016-08-25 Itzhak Bars , Costas Kounnas

We propose a method of constructing a gauge invariant canonical formulation for non-gauge classical theory which depends on a set of parameters. Requirement of closure for algebra of operators generating quantum gauge transformations leads…

High Energy Physics - Theory · Physics 2007-05-23 I. L. Buchbinder , V. D. Pershin , G. B. Toder
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