scholarly journals Green-Schwarz and pure spinor formulations of chiral strings

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Max Guillen
Keyword(s):  
Light Cone ◽  
Field Theories ◽  
Vertex Operators ◽  
Type Ii ◽  
Pure Spinor ◽  
Light Cone Gauge ◽  
Gauge Fixing

Abstract Bosonic and RNS chiral strings have been defined from a singular gauge fixing of the respective Polyakov and spinning string actions, enforcing, among other things, the finite nature of their physical spectra. Except for the heterotic case, the tensionless limits of such chiral models have been shown to describe the same field theories predicted by their ambitwistor analogues. In this paper, we study the Green-Schwarz formulation for Type II and heterotic superstrings in a singular gauge. After performing a light-cone gauge analysis, their physical spectra are shown to match those of RNS chiral strings, and their respective tensionless limits are found to describe the same field theories predicted by RNS ambitwistor strings. Their pure spinor counterparts are then introduced by making use of the Oda-Tonin method. In doing so, symmetries hidden in the pure spinor ambitwistor string action become manifest, proposals motivating the sectorized pure spinor BRST charges find simple grounds, and integrated vertex operators emerge naturally.

LIGHT-FRONT HAMILTONIAN AND PATH INTEGRAL QUANTIZATION OF VECTOR SCHWINGER MODEL WITH A PHOTON MASS TERM

2012 ◽  
Vol 27 (27) ◽  
pp. 1250157 ◽  
Author(s):  
USHA KULSHRESHTHA
Keyword(s):  
Path Integral ◽  
Light Cone ◽  
Mass Term ◽  
Light Front ◽  
Light Cone Gauge ◽  
Schwinger Model ◽  
Path Integral Quantization ◽  
New Class ◽  
Gauge Fixing ◽  
Form Theory

Vector Schwinger model with a mass term for the photon, describing 2D electrodynamics with massless fermions, studied by us recently [U. Kulshreshtha, Mod. Phys. Lett. A22, 2993 (2007); U. Kulshreshtha and D. S. Kulshreshtha, Int. J. Mod. Phys. A22, 6183 (2007); U. Kulshreshtha, PoS LC2008, 008 (2008)], represents a new class of models. This theory becomes gauge-invariant when studied on the light-front. This is in contrast to the instant-form theory which is gauge-non-invariant. In this work, we study the light-front Hamiltonian and path integral quantization of this theory under appropriate light-cone gauge-fixing. The discretized light-cone quantization of the theory where we wish to make contact with the experimentally observational aspects of the theory would be presented in a separate paper.

CONSTRUCTING THE SUPERSTRING SPACE-TIME SUSY ALGEBRA IN THE LIGHT-CONE GAUGE

1988 ◽  
Vol 03 (12) ◽  
pp. 2855-2893 ◽  
Author(s):  
A. RESTUCCIA ◽  
J.G. TAYLOR
Keyword(s):  
Light Cone ◽  
Explicit Construction ◽  
Space Time ◽  
Substantial Part ◽  
Type I ◽  
Type Ii ◽  
Contact Interactions ◽  
Regularization Scheme ◽  
Light Cone Gauge

Closure of the [10] SUSY algebra is attempted for heterotic and type II superstrings by explicit construction of the quartic supersymmetry and Hamiltonian generators. These are shown to possess only contact interactions. Other related nonlinearly realized generators are also constructed at the quartic level, and a substantial part of the [10]-SUSY algebra shown to close with only these generators, for any regularization scheme for the heterotic, and by using phase integration for the type II. Type I superstrings are also considered.

Conformal mapping and vertex operators in the light‐cone gauge

1990 ◽  
Vol 31 (12) ◽  
pp. 3053-3059 ◽  
Author(s):  
Seichi Naito ◽  
Masahiro Nishimoto
Keyword(s):  
Conformal Mapping ◽  
Light Cone ◽  
Vertex Operators ◽  
Light Cone Gauge

The light-cone gauge

1986 ◽  
Vol 64 (5) ◽  
pp. 624-632 ◽  
Author(s):  
H. C. Lee
Keyword(s):  
Quantum Chromodynamics ◽  
Quantum Electrodynamics ◽  
Light Cone ◽  
Field Theories ◽  
Special Role ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Light Cone Gauge ◽  
Yang Mills ◽  
Kaluza Klein

Some aspects of recent development in the light-cone gauge and its special role in quantum-field theories are reviewed. Topics discussed include the two- and four-component formulations of the light-cone gauge, Slavnov–Taylor and Becchi– Rouet–Stora identities, quantum electrodynamics, quantum chromodynamics, renormalization of Yang–Mills theory and supersymmetric theory, gravity, and the quantum-induced compactification of Kaluza–Klein theories in the light-cone gauge.

ON THE INFINITIES OF CLOSED SUPERSTRING AMPLITUDES

1988 ◽  
Vol 03 (09) ◽  
pp. 883-892 ◽  
Author(s):  
A. RESTUCCIA ◽  
J.G. TAYLOR
Keyword(s):  
Field Theory ◽  
Light Cone ◽  
Green's Functions ◽  
Green’S Functions ◽  
Type Ii ◽  
World Sheet ◽  
Light Cone Gauge

We present an analysis of possible infinities that may be present in uncompactified multi-loop heterotic and type II superstring amplitudes constructed, without use of the short-string limit, in the light-cone gauge, and with use of a closed [10]-SUSY field theory algebra. Various types of degenerations of the integrand are discussed on the string world-sheet. No infinities are found, modulo (for type II) a particular identity for Green’s functions.

scholarly journals D = 2 STRING THEORY IN TARGET SPACE/WORLDSHEET LIGHT-CONE GAUGE

1994 ◽  
Vol 09 (33) ◽  
pp. 3041-3051
Author(s):  
A. P. ZUBAREV
Keyword(s):  
String Theory ◽  
Light Cone ◽  
Target Space ◽  
Light Cone Gauge ◽  
Physical Spectrum ◽  
Gauge Fixing ◽  
Linear Dilaton ◽  
Matter Fields

The D = 2 free string in the linear dilaton background is considered in the so-called target space/worldsheet light-cone gauge X+ = 0, g++ = 0, g+− = 1. After gauge-fixing, the theory has the residual Virasoro and U(1) current symmetries. The physical spectrum related to the SL 2-invariant vacuum is found to be trivial. We find that the theory has a non-trivial spectrum if the states in different nonequivalent representations ("pictures") of CFT algebra of matter fields are considered.

scholarly journals AdS 5 × S5 supergravity vertex operators

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Thiago Fleury ◽  
Lucas N. S. Martins
Keyword(s):  
Vertex Operators ◽  
Type Ii ◽  
Pure Spinor ◽  
Numerical Techniques ◽  
Huge Number ◽  
Raising Operators ◽  
Spinor Formalism ◽  
String Amplitudes ◽  
Pure Spinor Formalism ◽  
First Time

Abstract In any type II superstring background, the supergravity vertex operators in the pure spinor formalism are described by a gauge superfield. In this paper, we obtain for the first time an explicit expression for this superfield in an AdS5 × S5 background. Previously, the vertex operators were only known close to the boundary of AdS5 or in the minus eight picture. Our strategy for the computation was to apply eight picture raising operators in the minus eight picture vertices. In the process, a huge number of terms are generated and we have developed numerical techniques to perform intermediary simplifications. Alternatively, the same numerical techniques can be used to compute the vertices directly in the zero picture by constructing a basis of invariants and fitting for the coefficients. One motivation for constructing the vertex operators is the computation of AdS5 × S5 string amplitudes.

θ-Expansion and light-cone gauge fixing in curved superspace σ-models

1987 ◽  
Vol 284 ◽  
pp. 131-145 ◽  
Author(s):  
Joseph J. Atick ◽  
Avinash Dhar
Keyword(s):  
Light Cone ◽  
Light Cone Gauge ◽  
Gauge Fixing
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