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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

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

It is shown that a renormalizable nonlinear sigma model gives rise to the effective string theory proposed by Polchinski and Strominger. In the presence of long string background, the model contains massive world-sheet degrees of freedom…

High Energy Physics - Theory · Physics 2009-10-22 M. Natsuume

We study non-relativistic limit of AdS(5)xS(5) background and determine corresponding Newton-Cartan fields. We also find canonical form of the new non-relativistic string in this background and discuss its formulation in the uniform…

High Energy Physics - Theory · Physics 2021-11-24 J. Kluson

This thesis considers two different aspects of string theory, the tensionless limit of the string and supersymmetric sigma models. The tensionless limit is used to find a IIB supergravity background generated by a tensionless string.…

High Energy Physics - Theory · Physics 2009-04-16 Jonas Persson

This paper is devoted to the study of the Hamiltonian dynamics of string in non-relativistic D3-brane background. We discuss different gauge fixing functions and construct corresponding gauge fixed Hamiltonians.

High Energy Physics - Theory · Physics 2014-11-20 J. Kluson

A detailed canonical treatment of a new action for a nonrelativistic particle coupled to background gravity, recently given by us, is performed both in the Lagrangian and Hamiltonian formulations. The equation of motion is shown to satisfy…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Rabin Banerjee , Pradip Mukherjee

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

This is a review aimed at a physics audience on the relation between Poisson sigma models on surfaces with boundary and deformation quantization. These models are topological open string theories. In the classical Hamiltonian approach, we…

High Energy Physics - Theory · Physics 2009-11-07 Alberto S. Cattaneo , Giovanni Felder

Non-relativistic string theories promise to provide simpler theories of quantum gravity as well as tractable limits of the AdS/CFT correspondence. However, several apparently distinct non-relativistic string theories have been constructed.…

High Energy Physics - Theory · Physics 2019-11-19 Troels Harmark , Jelle Hartong , Lorenzo Menculini , Niels A. Obers , Gerben Oling

A method of constructing a canonical gauge invariant quantum formulation for a non-gauge classical theory depending on a set of parameters is advanced and then applied to the theory of closed bosonic string interacting with massive…

High Energy Physics - Theory · Physics 2009-10-30 I. L. Buchbinder , V. D. Pershin , G. B. Toder

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

In recent years, interesting curved-space extensions of nonrelativistic (NR) string theory have been very actively pursued, where the background has a structure that is a stringy generalization of Newton-Cartan geometry. Here we show that…

High Energy Physics - Theory · Physics 2024-01-04 Daniel Ávila , Alberto Guijosa , Rafael Olmedo

In this short note we analyze canonical description of T-duality along light-like isometry. We show that T-duality of relativistic string theory on this background leads to non-relativistic string theory action on T-dual background.

High Energy Physics - Theory · Physics 2019-05-31 J. Kluson

It is well known that one can take an infinite speed of light limit that gives rise to non-relativistic strings with a relativistic worldsheet sigma model but with a non-relativistic target space geometry. In this work we systematically…

High Energy Physics - Theory · Physics 2023-12-29 Leo Bidussi , Troels Harmark , Jelle Hartong , Niels A. Obers , Gerben Oling

A method of constructing a canonical gauge invariant quantum formulation for a non-gauge classical theory depending on a set of parameters is advanced and then applied to the theory of closed bosonic string interacting with massive…

High Energy Physics - Theory · Physics 2009-10-30 I. L. Buchbinder , V. D. Pershin , G. B. Toder

We construct a sigma model in two dimensions with Galilean symmetry in flat target space similar to the sigma model of the critical string theory with Lorentz symmetry in 10 flat spacetime dimensions. This is motivated by the works of Gomis…

High Energy Physics - Theory · Physics 2008-11-26 Bom Soo Kim

We perform canonical quantization of open strings in the $D$-brane background with a $B$-field. Treating the mixed boundary condition as a primary constraint, we get a set of secondary constraints. Then these constraints are shown to be…

High Energy Physics - Theory · Physics 2009-10-31 Taejin Lee

String Newton-Cartan holography is a new example of gauge/gravity duality relating non-relativistic string theory and gauge theories. We review how to construct a family of string and $p$-brane Newton-Cartan holographic dualities by…

High Energy Physics - Theory · Physics 2026-03-27 Andrea Fontanella , Juan Miguel Nieto García

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