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We construct a supersymmetric version of the ``critical'' non-relativistic bosonic string theory\cite{Kim:2007hb} with its manifest global symmetry. We introduce the anticommuting $bc$ CFT which is the super partner of the $\beta\gamma$…

High Energy Physics - Theory · Physics 2014-11-18 Bom Soo Kim

A homogeneous anisotropic four dimensional spacetime with Lorentzian signature is constructed from an ungauged WZW model based on a non-semisimple Lie group. The associated non-linear $\sigma $-model describes string propagation in an…

High Energy Physics - Theory · Physics 2008-02-03 Oscar Jofre , Carmen Núñez

The interest in string Hamiltonian system has recently been rekindled due to its application to target-space duality. In this article, we explore another direction it motivates. In Sec.\ 1, conformal symmetry and some algebraic structures…

High Energy Physics - Theory · Physics 2007-05-23 Chien-Hao Liu

We study non-relativistic conformal field theory on a flat space in the presence of a planar boundary. We compute correlation functions of primary operators and obtain the expression for the boundary conformal block. We also discuss the…

High Energy Physics - Theory · Physics 2022-04-13 Rajesh Kumar Gupta , Ramanpreet Singh

We describe the formalism of a quantitative analytic model for the evolution of realistic wiggly (as opposed to Goto-Nambu) cosmic strings. The model is particularly suited for describing the evolution of small-scale structure on string…

High Energy Physics - Phenomenology · Physics 2015-06-19 C. J. A. P. Martins , E. P. S. Shellard , J. P. P. Vieira

Noncommutativity in an open string moving in a background Neveu-Schwarz field is investigated in a gauge independent Hamiltonian approach, leading to new results. The noncommutativity is shown to be a direct consequence of the non-trivial…

High Energy Physics - Theory · Physics 2009-11-07 Rabin Banerjee , Biswajit Chakraborty , Subir Ghosh

We propose a Lax equation for the non-linear sigma model which leads directly to the conserved local charges of the system. We show that the system has two infinite sets of such conserved charges following from the Lax equation, much like…

High Energy Physics - Theory · Physics 2008-11-26 J. C. Brunelli , A. Constandache , Ashok Das

The technique of (discretised) light-cone quantisation, as applied to matrix models of relativistic strings, is reviewed. The case of the c=2 non-critical bosonic string is discussed in some detail to clarify the nature of the continuum…

High Energy Physics - Theory · Physics 2007-05-23 S. Dalley

We define string geometry: spaces of superstrings including the interactions, their topologies, charts, and metrics. Trajectories in asymptotic processes on a space of strings reproduce the right moduli space of the super Riemann surfaces…

High Energy Physics - Theory · Physics 2021-02-03 Matsuo Sato

The compatibility between the conformal symmetry and the closure of conformal algebras is discussed on the nonlinear sigma model. The present approach, above the basis of field redefinition employed in the Hamiltonian scheme, attempts the…

High Energy Physics - Theory · Physics 2007-05-23 Simon C. Lin , Feng Yin Li , Tsong Ming Liaw

I present a new class of topological string theories, and discuss them in two dimensions as candidates for the string description of large-$N$ QCD. The starting point is a new class of topological sigma models, whose path integral is…

High Energy Physics - Theory · Physics 2007-05-23 Petr Horava

Using a classical action associated to a point-particle in (1+1)-dimensions the classical string theory is derived. In connection with this result two aspects are clarified: First, the point particle in (1+1)-dimensions is not an ordinary…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. A. Nieto

We derive a non-linear sigma model (NLSM) generally representing antiferromagnetic Heisenberg spin chains with inhomogeneous spin magnitudes and inhomogeneous nearest-neighbor exchange constants arrayed in finite periods. Only a restriction…

Strongly Correlated Electrons · Physics 2009-10-31 Ken'ichi Takano

This note is devoted to the study of the open string description of Wilson loops and quarks in non-relativistic QFT.

High Energy Physics - Theory · Physics 2010-05-19 J. Kluson

We present a string theory realization for the correspondence between quantum integrable models and supersymmetric gauge theories. The quantization results from summing the effects of fundamental strings winding around a compact direction.…

High Energy Physics - Theory · Physics 2013-10-02 Domenico Orlando

We examine the noncommutative cylinder solution to a matrix model with a Minkowski background metric. It can be regarded as the noncommutative analogue of a static circular string. Perturbations about the solution yield a tachyonic scalar…

High Energy Physics - Theory · Physics 2015-06-19 A. Stern

We review the quantization of open string in NS-NS background and demonstrate that its endpoint becomes noncommutative. The same approach allows us to determine the noncommutativity that arises for a charged open string in background gauge…

High Energy Physics - Theory · Physics 2007-05-23 Chong-Sun Chu

We show that bounded families of global classical relativistic strings that can be written as graphs are relatively compact in C0 topology, but their accumulation points include many non relativistic strings. We also provide an alternative…

Analysis of PDEs · Mathematics 2007-05-23 Yann Brenier

We argue that generic non-relativistic quantum field theories have a holographic description in terms of Horava gravity. We construct explicit examples of this duality embedded in string theory by starting with relativistic dual pairs and…

High Energy Physics - Theory · Physics 2013-03-14 Stefan Janiszewski , Andreas Karch

String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In arXiv:1709.03506, the perturbative string theory is reproduced from a string geometry model coupled with a $u(1)$ gauge field on string…

High Energy Physics - Theory · Physics 2020-10-16 Matsuo Sato , Yuji Sugimoto