The effective string spectrum in the orthogonal gauge

Ofer Aharony; Matan Field; Nizan Klinghoffer

doi:10.1007/jhep04(2012)048

CLASSICAL AND QUANTUM STRINGS IN PLANE WAVES, SHOCK WAVES AND SPACE–TIME SINGULARITIES: SYNTHESIS AND NEW RESULTS

International Journal of Modern Physics A ◽

10.1142/s0217751x03015787 ◽

2003 ◽

Vol 18 (26) ◽

pp. 4797-4809 ◽

Cited By ~ 4

Author(s):

NORMA G. SANCHEZ

Keyword(s):

Shock Waves ◽

Plane Waves ◽

Momentum Tensor ◽

Space Time ◽

Tree Level ◽

Time Singularities ◽

String Spectrum ◽

Key Issues ◽

Real Mass ◽

Singular Wave

Key issues and essential features of classical and quantum strings in gravitational plane waves, shock waves and space–time singularities are synthetically understood. This includes the string mass and mode number excitations, energy–momentum tensor, scattering amplitudes, vacuum polarization and wave-string polarization effect. The role of the real pole singularities characteristic of the tree level string spectrum (real mass resonances) and that of the space–time singularities is clearly exhibited. This throws light on the issue of singularities in string theory which can be thus classified and fully physically characterized in two different sets: strong singularities (poles of order ≥ 2, and black holes) where the string motion is collective and nonoscillating in time, outgoing states and scattering sector do not appear, the string does not cross the singularities; and weak singularities (poles of order < 2, (Dirac δ belongs to this class) and conic/orbifold singularities) where the whole string motion is oscillatory in time, outgoing and scattering states exist, and the string crosses the singularities. Common features of strings in singular wave backgrounds and in inflationary backgrounds are explicitly exhibited. The string dynamics and the scattering/excitation through the singularities (whatever their kind: strong or weak) is fully physically consistent and meaningful.

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Protected string spectrum in AdS3/CFT2 from worldsheet integrability

Journal of High Energy Physics ◽

10.1007/jhep04(2017)091 ◽

2017 ◽

Vol 2017 (4) ◽

Cited By ~ 24

Author(s):

Marco Baggio ◽

Olof Ohlsson Sax ◽

Alessandro Sfondrini ◽

Bogdan Stefański ◽

Alessandro Torrielli

Keyword(s):

String Spectrum

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Erratum to: “Fine Structure of the String Spectrum in AdS 5 × S 5”

JETP Letters ◽

10.1134/s0021364013080134 ◽

2013 ◽

Vol 97 (8) ◽

pp. 504-504 ◽

Cited By ~ 1

Author(s):

K. Zarembo ◽

S. Zieme

Keyword(s):

Fine Structure ◽

String Spectrum

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DLCQ String Spectrum from Script N = 2 SYM Theory

Journal of High Energy Physics ◽

10.1088/1126-6708/2004/11/053 ◽

2004 ◽

Vol 2004 (11) ◽

pp. 053-053 ◽

Cited By ~ 13

Author(s):

Giuseppe De Risi ◽

Gianluca Grignani ◽

Marta Orselli ◽

Gordon W Semenoff

Keyword(s):

String Spectrum

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Torsional deformation of nonrelativistic string theory

Journal of High Energy Physics ◽

10.1007/jhep09(2021)035 ◽

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.

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Noncommutative Dirac and Klein–Gordon oscillators in the background of cosmic string: Spectrum and dynamics

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887820500784 ◽

2020 ◽

Vol 17 (05) ◽

pp. 2050078

Author(s):

Emanonfi Elias N’Dolo ◽

Dine Ousmane Samary ◽

Baloitcha Ezinvi ◽

Mahouton Norbert Hounkonnou

Keyword(s):

Cosmic String ◽

Equations Of Motion ◽

Hamilton Equations ◽

Klein Gordon ◽

String Spectrum

From a study of an oscillator in a 4D noncommutative (NC) spacetime, we establish the Hamilton equations of motion. The formers are solved to give the oscillator position and momentum coordinates. These coordinates are used to build a metric similar to that describing a cosmic string. On this basis, Dirac and Klein–Gordon oscillators are investigated. Their spectrum and dynamics are analyzed giving rise to novel interesting properties.

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