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Conservation laws are formulated for systems of differential equations by using symmetries and adjoint symmetries, and an application to systems of evolution equations is made, together with illustrative examples. The formulation does not…

Exactly Solvable and Integrable Systems · Physics 2017-07-13 Wen-Xiu Ma

Marginal boundary deformations in a two dimensional conformal field theory correspond to a family of classical solutions of the equations of motion of open string field theory. In this paper we develop a systematic method for relating the…

High Energy Physics - Theory · Physics 2009-11-10 Ashoke Sen

We evaluate the classical action and the effective tachyon potential of open string field theory within KBc subalgebra, which is extensively used in analytic solution for tachyon condensation recently found by Erler and Schnabl. It is found…

High Energy Physics - Theory · Physics 2011-02-03 Syoji Zeze

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

The collective behavior of the SL(2,R) covariant brane states of non-critical c=1 string theory found in a previous work, is studied in the Fermi liquid approximation. It is found that such states mimick the coset WZW model, whereas only by…

High Energy Physics - Theory · Physics 2008-12-18 Bruno Carneiro da Cunha

We consider chiral fluids within the standard framework of a chiral-invariant underlying field theory, anomalous in presence of electromagnetic fields. Apart from the Noether axial current of the underlying theory, in the limit of ideal…

High Energy Physics - Theory · Physics 2016-11-29 V. I. Zakharov

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

The reaction diffusion equation arises in physical situations in problems from population growth, genetics and physical sciences. We consider the generalised Fisher equation in cylindrical coordinates from Lie theory stand point. An…

Analysis of PDEs · Mathematics 2023-03-31 Ali Reza , Sonia Naseer , F D Zaman , A H Kara

It is shown that classical decay of unstable D-branes in bosonic and superstring theories produces pressureless gas with non-zero energy density. The energy density is stored in the open string fields, even though around the minimum of the…

High Energy Physics - Theory · Physics 2009-11-07 Ashoke Sen

This thesis investigates correspondences between open and closed strings. This is done on the level of coupled open-closed moduli spaces and from a string field theoretic point of view. The construction of boundary string field theory on…

High Energy Physics - Theory · Physics 2008-12-15 Marco Baumgartl

We investigate a classical open-closed string field theory whose open string sector is given by boundary string field theory. The open-closed interaction is introduced by the overlap of a boundary state with a closed string field. With the…

High Energy Physics - Theory · Physics 2012-07-12 Akira Ishida , Shunsuke Teraguchi

Closed string tachyon condensation has been studied in orbifolds C^2/Z_{N,p} of flat space, using the chiral ring of the underlying N=2 conformal field theory. Here we show that similar phenomena occur in the curved smooth background…

High Energy Physics - Theory · Physics 2007-05-23 Pedro Bordalo

The quantization scheme by noncommutative geometry developed in string theory is applied to establish the conservation law of twisted spin and spin current densities in the spin-orbit coupled systems. Starting from the pedagogical…

Mathematical Physics · Physics 2012-05-31 Naoyuki Sugimoto , Naoto Nagaosa

Augmented variational principles are introduced in order to provide a definition of relative conservation laws. As it is physically reasonable, relative conservation laws define in turn relative conserved quantities which measure, for…

Mathematical Physics · Physics 2015-06-26 L. Fatibene , M. Ferraris , M. Francaviglia

Quantum theory of 2d gravity is examined by including a special quantum correction, which corresponds to the open string loop corrections and provides a new conformal anomaly for the corresponding $\sigma$ model. This anomaly leads to the…

High Energy Physics - Theory · Physics 2007-05-23 Kazuo Ghoroku

We derive a constraint (string equation) which together with the Toda Lattice hierarchy determines completely the integrable structure of the compactified 2D string theory. The form of the constraint depends on a continuous parameter, the…

High Energy Physics - Theory · Physics 2009-11-07 Ivan K. Kostov

We obtain the left-right entanglement entropy (LREE) for a D$p$-brane with tangential motion in the presence of a $U(1)$ gauge potential, the Kalb-Ramond field and an open string tachyon field. Thus, at first we extract the R\'{e}nyi…

High Energy Physics - Theory · Physics 2021-08-27 Shirin Teymourtashlou , Davoud Kamani

We study the level-expansion structure of the NS string field theory actions, mainly focusing on the modified (i.e. 0-picture in the NS sector) cubic superstring field theory. This theory has a non-trivial structure already at the quadratic…

High Energy Physics - Theory · Physics 2007-05-23 Kazuki Ohmori

The boundary state associated with the rolling tachyon solution on an unstable D-brane contains a part that decays exponentially in the asymptotic past and the asymptotic future, but it also contains other parts which either remain constant…

High Energy Physics - Theory · Physics 2009-11-10 Ashoke Sen

Both in string field theory and in p-adic string theory the equations of motion involve infinite number of time derivatives. We argue that the initial value problem is qualitatively different from that obtained in the limit of many time…

High Energy Physics - Theory · Physics 2009-11-07 Nicolas Moeller , Barton Zwiebach