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We present a minimal and dynamically consistent formulation of non-relativistic bosonic string theory in a Newton-Cartan (NC) background. Starting from a reparametrization-invariant Nambu-Goto action, we develop the Hamiltonian framework…

High Energy Physics - Theory · Physics 2025-09-05 Partha Nandi , Sk. Moinuddin , Abdus Sattar

We propose a modification of the Nambu-Goto action for the bosonic string which is compatible with the existence of a minimum area at the Planck scale. The result is a phenomenological action based on the observation that LQG tells us that…

High Energy Physics - Theory · Physics 2025-11-07 Deepak Vaid , Luigi Teixeira de Sousa

The nonrelativistic bosonic string theory in a curved manifold is formulated here using gauging of symmetry approach ( Galilean Gauge theory ) . The corresponding model in flat space has some global symmetries . By localizing these…

High Energy Physics - Theory · Physics 2022-12-27 Sk. Moinuddin , Pradip Mukherjee

A master action for bosonic strings and membranes, interpolating between the Nambu--Goto and Polyakov formalisms, is discussed. The role of the gauge symmetries vis-\`{a}-vis reparametrization symmetries of the various actions is analyzed…

High Energy Physics - Theory · Physics 2009-11-10 Rabin Banerjee , Pradip Mukherjee , Anirban Saha

The low-energy effective action on long string-like objects in quantum field theory, such as confining strings, includes the Nambu-Goto action and then higher-derivative corrections. This action is diffeomorphism-invariant, and can be…

High Energy Physics - Theory · Physics 2015-06-03 Ofer Aharony , Matan Field , Nizan Klinghoffer

We obtain a non-relativistic diffeomorphism invariant string action as a special limit of the Nambu-Goto action in an FLRW background. We use this action to study non-relativistic string dynamics in an expanding universe and construct an…

Astrophysics · Physics 2009-06-19 A. Avgoustidis , Joaquim Gomis

The Hamiltonian analysis of Polyakov action is reviewed putting emphasis in two topics: Dirac observables and gauge conditions. In the case of the closed string it is computed the change of its action induced by the gauge transformation…

High Energy Physics - Theory · Physics 2007-05-23 Merced Montesinos , Jose David Vergara

In the present article, we derive the space-time action of the bosonic string in terms of geometrical quantities. First, we study the space-time geometry felt by probe bosonic string moving in antisymmetric and dilaton background fields. We…

High Energy Physics - Theory · Physics 2008-11-26 D. S. Popović , B. Sazdović

We develop a novel approach to non-relativistic closed bosonic string theory that is based on a string $1/c^2$ expansion of the relativistic string, where $c$ is the speed of light. This approach has the benefit that one does not need to…

High Energy Physics - Theory · Physics 2022-01-12 Jelle Hartong , Emil Have

We study the low-energy effective action governing the transverse fluctuations of a long string, such as a confining flux tube in QCD. We work in the static gauge where this action contains only the transverse excitations of the string. The…

High Energy Physics - Theory · Physics 2015-06-03 Ofer Aharony , Matthew Dodelson

We propose the action for the nonrelativistic string invariant under general coordinate transformations on the string worldsheet. The Hamiltonian formulation for the nonrelativistic string is given. Particular solutions of the…

High Energy Physics - Theory · Physics 2021-11-02 M. O. Katanaev

We find a Polyakov-type action for strings moving in a torsional Newton-Cartan geometry. This is obtained by starting with the relativistic Polyakov action and fixing the momentum of the string along a non-compact null isometry. For a flat…

High Energy Physics - Theory · Physics 2019-01-04 Troels Harmark , Jelle Hartong , Lorenzo Menculini , Niels A. Obers , Ziqi Yan

We assume the bosonic string is a composite object of the relativistic particles. The behavior of the relativistic particles in a curve enables us to obtain the Nambu-Goto and the Polyakov actions of the bosonic string. We observe that the…

High Energy Physics - Theory · Physics 2020-07-29 Davoud Kamani

A new Lagrangian description that interpolates between the Nambu--Goto and Polyakov version of interacting strings is given. Certain essential modifications in the Poission bracket structure of this interpolating theory generates…

High Energy Physics - Theory · Physics 2008-11-26 Sunandan Gangopadhyay , Arindam Ghosh Hazra , Anirban Saha

We study the self-similar motion of a string in a self-similar spacetime by introducing the concept of a self-similar string, which is defined as the world sheet to which a homothetic vector field is tangent. It is shown that in Nambu-Goto…

General Relativity and Quantum Cosmology · Physics 2016-09-15 Takahisa Igata , Tsuyoshi Houri , Tomohiro Harada

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

We construct a (locally) supersymmetric worldsheet action for a string in a non-relativistic Newton-Cartan background. We do this using a doubled string action, which describes the target space geometry in an $O(D,D)$ covariant manner using…

High Energy Physics - Theory · Physics 2019-11-14 Chris D. A. Blair

We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields. This…

High Energy Physics - Theory · Physics 2022-06-10 Gerben Oling , Ziqi Yan

We propose an off-shell bosonic string action that removes the renormalization window constraint of [1]. To all orders in conformal perturbation theory, this action allows for deformations of the worldsheet theory by any primary or…

High Energy Physics - Theory · Physics 2025-10-07 Amr Ahmadain , Alexander Frenkel , Aron C. Wall

The previously proposed generalized action principle approach to supersymmetric extended objects is considered in some details for the case of heterotic string in $D=3, 4, 6 ~and~ 10$ space--time dimensions. The proof of the 'off--shell'…

High Energy Physics - Theory · Physics 2007-05-23 Igor A. Bandos
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