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Nonrelativistic string theory is described by a sigma model with a relativistic worldsheet and a nonrelativistic target spacetime geometry, that is called string Newton-Cartan geometry. In this paper we obtain string Newton-Cartan geometry…

High Energy Physics - Theory · Physics 2019-12-09 Eric Bergshoeff , Jaume Gomis , Jan Rosseel , Ceyda Simsek , Ziqi Yan

Nonrelativistic string theory is a unitary, ultraviolet finite quantum gravity theory with a nonrelativistic string spectrum. The vertex operators of the worldsheet theory determine the spacetime geometry of nonrelativistic string theory,…

High Energy Physics - Theory · Physics 2019-10-23 Jaume Gomis , Jihwan Oh , Ziqi Yan

This paper is devoted to the canonical analysis of non-linear sigma model that describes motion of non-relativistic string on stringy Newton-Cartan background. We determine structure of constraints of this string and compare resulting…

High Energy Physics - Theory · Physics 2019-02-20 J. Kluson

Nonrelativistic string theory is a self-contained corner of string theory, with its string spectrum enjoying a Galilean-invariant dispersion relation. This theory is unitary and ultraviolet complete, and can be studied from first…

High Energy Physics - Theory · Physics 2023-03-01 Ziqi Yan

We revisit the non-linear sigma model approach to string theory with the closed superstring field theory. We construct the string field theory around the non-linear sigma model background with the patch-by-patch description. We show that…

High Energy Physics - Theory · Physics 2025-09-26 Alexander Frenkel , Manki Kim

Nonrelativistic string theory in flat spacetime is described by a two-dimensional quantum field theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic string theory is unitary, ultraviolet complete…

High Energy Physics - Theory · Physics 2018-12-05 Eric Bergshoeff , Jaume Gomis , Ziqi Yan

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 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

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

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 revisit the formulation of non-relativistic (NR) string theory and its target space geometry. We obtain a new formulation in which the geometry contains a two-form field that couples to the tension current and that transforms under…

High Energy Physics - Theory · Physics 2022-03-09 Leo Bidussi , Troels Harmark , Jelle Hartong , Niels A. Obers , Gerben Oling

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 study the first order form of the NS string sigma model allowing for worldsheet couplings corresponding on the target space to a bi-vector, a two-form and an inverse metric. Lifting the topological sector of this action to three…

High Energy Physics - Theory · Physics 2009-06-17 Nick Halmagyi

Nonrelativistic open string theory is defined by a worldsheet theory that produces a Galilean invariant string spectrum and is described at low energies by a nonrelativistic Yang-Mills theory. We study T-duality transformations in the path…

High Energy Physics - Theory · Physics 2021-02-16 Jaume Gomis , Ziqi Yan , Matthew Yu

Double Field Theory provides a geometric framework capable of describing string theory backgrounds that cannot be understood purely in terms of Riemannian geometry -- not only globally (`non-geometry'), but even locally (`non-Riemannian').…

High Energy Physics - Theory · Physics 2016-01-06 Sung Moon Ko , Charles Melby-Thompson , Rene Meyer , Jeong-Hyuck Park

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

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

We put forward a two-dimensional nonlinear sigma model that couples (bosonic) matter fields to topological Horava gravity on a nonrelativistic worldsheet. In the target space, this sigma model describes classical strings propagating in a…

High Energy Physics - Theory · Physics 2022-10-12 Ziqi Yan

This paper describes the background field equations for strings in T-duality symmetric formalisms in which the dimension of target space is doubled and the sigma model supplemented with constraints. These are calculated by demanding the…

High Energy Physics - Theory · Physics 2008-11-26 David S. Berman , Neil B. Copland , Daniel C. Thompson

This paper is devoted to the construction of the Hamiltonian for non-relativistic string in the Newton-Cartan background. We start with the Hamiltonian for relativistic string in general background. Then we perform limiting procedure on the…

High Energy Physics - Theory · Physics 2018-12-13 J. Kluson
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