Introduction to the Relativistic String Theory

10.1142/0679 ◽  
1990 ◽  
Author(s):  
B M Barbashov ◽  
V V Nesterenko ◽  
T Yu Dumbrajs
Keyword(s):  
String Theory ◽  
Relativistic String

HAMILTONIAN THEORY OF THE RELATIVISTIC STRING

1990 ◽  
Vol 02 (03) ◽  
pp. 355-398 ◽  
Author(s):  
G.P. Pron’ko
Keyword(s):  
String Theory ◽  
Spectral Problem ◽  
Dimensional Space ◽  
Space Time ◽  
Point Of View ◽  
Relativistic String ◽  
Hamiltonian Theory ◽  
Gauge Fixing ◽  
Dimensional Space Time ◽  
Invariant Gauge

The relativistic string theory is considered from the Hamiltonian point of view. It is proposed to formulate the dynamics of string in d-dimensional space-time with the help of the auxiliary spectral problem. This approach gives the possibility to construct a completely new set of variables of string relevant for Lorentz-invariant gauge fixing. The notion of smooth string is introduced for which the successive relativistic invariant quantization could be done explicitly for the d=4 case.

scholarly journals Torsional deformation of nonrelativistic string theory

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Ziqi Yan
Keyword(s):  
String Theory ◽  
Closed String ◽  
Target Space ◽  
Spacetime Symmetries ◽  
Nonlinear Sigma Model ◽  
Relativistic String ◽  
Symmetry Principles ◽  
String Spectrum ◽  
Background Fields ◽  
Group Flow

Abstract 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 principles. In these notes, we focus on the bosonic closed string sector. In curved spacetime, nonrelativistic string theory is defined by a renormalizable quantum nonlinear sigma model in background fields, following certain symmetry principles that disallow any deformation towards relativistic string theory. We review previous proposals of such symmetry principles and propose a modified version that might be useful for supersymmetrizations. The appropriate target-space geometry determined by these local spacetime symmetries is string Newton-Cartan geometry. This geometry is equipped with a two-dimensional foliation structure that is restricted by torsional constraints. Breaking the symmetries that give rise to such torsional constraints in the target space will in general generate quantum corrections to a marginal deformation in the worldsheet quantum field theory. Such a deformation induces a renormalization group flow towards sigma models that describe relativistic strings.

scholarly journals Dynamics of perturbations in Double Field Theory & non-relativistic string theory

2015 ◽  
Vol 2015 (12) ◽  
pp. 1-33 ◽  
Author(s):  
Sung Moon Ko ◽  
Charles M. Melby-Thompson ◽  
René Meyer ◽  
Jeong-Hyuck Park
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Relativistic String ◽  
Double Field Theory

RADIATIVE DECAYS OF LIGHT MESONS IN THE STRAIGHT-LINE STRING THEORY

1994 ◽  
Vol 09 (17) ◽  
pp. 3059-3076
Author(s):  
E.B. BERDNIKOV
Keyword(s):  
String Theory ◽  
String Model ◽  
Decay Rates ◽  
Radiative Decays ◽  
Relativistic String ◽  
Radiative Transitions ◽  
Straight Line ◽  
Light Mesons ◽  
K Mesons

The radiative transitions of light mesons are considered in the relativistic string model. The predictions for the decay rates of the light I=1 mesons and K mesons are presented.

scholarly journals Rotating solutions of non-relativistic string theory

2005 ◽  
Vol 617 (3-4) ◽  
pp. 182-192 ◽  
Author(s):  
Joaquim Gomis ◽  
Filippo Passerini
Keyword(s):  
String Theory ◽  
Relativistic String

scholarly journals Non-Riemannian isometries from double field theory

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Chris D. A. Blair ◽  
Gerben Oling ◽  
Jeong-Hyuck Park
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Relativistic String ◽  
Noether Symmetries ◽  
Dimensional Algebra ◽  
Infinite Dimensional ◽  
Killing Spinors ◽  
Double Field Theory ◽  
Riemannian Geometries ◽  
Killing Equations

Abstract We explore the notion of isometries in non-Riemannian geometries. Such geometries include and generalise the backgrounds of non-relativistic string theory, and they can be naturally described using the formalism of double field theory. Adopting this approach, we first solve the corresponding Killing equations for constant flat non-Riemannian backgrounds and show that they admit an infinite-dimensional algebra of isometries which includes a particular type of supertranslations. These symmetries correspond to known worldsheet Noether symmetries of the Gomis-Ooguri non-relativistic string, which we now interpret as isometries of its non-Riemannian doubled background. We further consider the extension to supersymmetric double field theory and show that the corresponding Killing spinors can depend arbitrarily on the non-Riemannian directions, leading to “supersupersymmetries” that square to supertranslations.

scholarly journals MANIFEST COVARIANCE CONDITION IN A RELATIVISTIC LAGRANGIAN STRING THEORY

1991 ◽  
Vol 06 (27) ◽  
pp. 2515-2525
Author(s):  
D. R. GRIGORE
Keyword(s):  
String Theory ◽  
Trivial Solution ◽  
Lagrangian Formalism ◽  
Relativistic String ◽  
Particle Theory ◽  
Manifest Covariance

The manifest covariance condition of Currie and Hill for a relativistic Lagrangian N-particle theory is generalized for a Lagrangian relativistic string theory. The corresponding Currie–Hill equations are derived. We can analyze the emerging problem only in a particular case, and we obtain only a trivial solution for the Lagrangian. This seems to indicate that a non-constrained Lagrangian formalism is not very suitable for the description of a relativistic string.

scholarly journals Non-relativistic String theory

2020 ◽  
Author(s):  
Eric Bergshoeff ◽  
Johannes Lahnsteiner ◽  
Luca Romano ◽  
Ceyda Simsek
Keyword(s):  
String Theory ◽  
Relativistic String
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