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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

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

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 new type of holographic correspondence between non-relativistic string theory in String Newton-Cartan AdS$_5\times$S$^5$ and Galilean Yang-Mills supplemented with 5 adjoint interacting scalar fields living on the 3+1…

High Energy Physics - Theory · Physics 2025-08-25 Andrea Fontanella , Juan Miguel Nieto García

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

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

We show that a novel holographic correspondence appears after taking a suitable stringy non-relativistic limit of the AdS$_5$/CFT$_4$ duality. This correspondence relates string theory in String Newton-Cartan AdS$_5\times$S$^5$ with…

High Energy Physics - Theory · Physics 2025-08-25 Andrea Fontanella , Juan Miguel Nieto García

We consider a geometric zero-radius limit for strings on $AdS_5\times S^5$, where the anti-de Sitter hyperboloid becomes the projective lightcone. In this limit the fifth dimension becomes nondynamical, yielding a different "holographic"…

High Energy Physics - Theory · Physics 2009-10-31 Horatiu Nastase , Warren Siegel

Exponential regularization of orthogonal and Anti-de Sitter (AdS) space is presented based on noncommutative geometry. We show that an adequately adopted noncommutative deformation of geometry makes the holography of higher dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Zhe Chang

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

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 discuss the non-relativistic limit of string theory in AdS$_5\times$S$^5$ for different choices of embedding coordinates. We show that, if we consider Cartesian coordinates, the action of fluctuations around the twisted BMN-like string…

High Energy Physics - Theory · Physics 2023-11-14 Andrea Fontanella , Juan Miguel Nieto García

We explore nonrelativistic (NR) pulsating string configurations over torsion Newton-Cartan (TNC) geometry having topology $ R \times S^2 $ and check the corresponding analytic integrability criteria following Kovacic's algorithm. In the…

High Energy Physics - Theory · Physics 2019-09-04 Dibakar Roychowdhury

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

We construct nonrelativistic spinning string solutions corresponding to $ SU(1,2|3) $ Spin-Matrix theory (SMT) limit of strings in $ AdS_5 \times S^5 $. Considering various nonrelativistic spinning string configurations both in $ AdS_5 $ as…

High Energy Physics - Theory · Physics 2020-11-11 Dibakar Roychowdhury

Matrix theory and the AdS/CFT correspondence provide nonperturbative holographic formulations of string theory. In both cases the finite N theories can be thought of as infrared regulated versions of flat space string theory in which…

High Energy Physics - Theory · Physics 2009-10-31 Leonard Susskind

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

High Energy Physics - Theory · Physics 2007-05-23 Henrique Boschi-Filho , Nelson R. F. Braga

We find an intriguing link between the symmetries of the tensionless limit of closed string theory and the 2-dimensional Galilean Conformal Algebra (2d GCA). 2d GCA has been discussed in the context of the non-relativistic limit of AdS/CFT…

High Energy Physics - Theory · Physics 2013-06-11 Arjun Bagchi

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

High Energy Physics - Theory · Physics 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga
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