scholarly journals Properties of non-relativistic string theory

2021 ◽  
Author(s):  
Eric Bergshoeff ◽  
Johannes Lahnsteiner ◽  
Lucia Romano ◽  
Ceyda Simsek
Keyword(s):  
String Theory ◽  
Relativistic String ◽  
Cartan Geometry ◽  
The Future

We show how Newton-Cartan geometry can be generalized to String Newton-Cartan geometry which is the geometry underlying non-relativistic string theory. Several salient properties of non-relativistic string theory in this geometric background are presented and a discussion of possible research for the future is outlined.

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
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