scholarly journals Relating the b ghost and the vertex operators of the pure spinor superstring

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Osvaldo Chandia ◽  
Brenno Carlini Vallilo
Keyword(s):  
Vertex Operator ◽  
Bosonic String ◽  
Vertex Operators ◽  
Pure Spinor ◽  
Double Pole ◽  
Lorenz Gauge

Abstract The OPE between the composite b ghost and the unintegrated vertex operator for massless states of the pure spinor superstring is computed and shown to reproduce the structure of the bosonic string result. The double pole vanishes in the Lorenz gauge and the single pole is shown to be equal to the corresponding integrated vertex operator.

scholarly journals COVARIANT QUANTIZATION OF THE SUPERSTRING

2001 ◽  
Vol 16 (05) ◽  
pp. 801-811 ◽  
Author(s):  
NATHAN BERKOVITS
Keyword(s):  
Vertex Operator ◽  
Vertex Operators ◽  
Pure Spinor ◽  
Covariant Quantization ◽  
Brst Operator ◽  
First Time

After reviewing the Green-Schwarz superstring using the approach of Siegel, the superstring is covariantly quantized by constructing a BRST operator from the fermionic constraints and a bosonic pure spinor ghost variable. Physical massless vertex operators are constructed and, for the first time, N-point tree amplitudes are computed in a manifestly ten-dimensional super-Poincaré covariant manner. Quantization can be generalized to curved supergravity backgrounds and the vertex operator for fluctuations around AdS5×S5 is explicitly constructed.

scholarly journals Notes on the 11D pure spinor wordline vertex operators

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Max Guillen
Keyword(s):  
Vertex Operator ◽  
Ghost Number ◽  
Vertex Operators ◽  
Pure Spinor ◽  
Full Form

Abstract The construction of the ghost number zero and one vertex operators for the 11D pure spinor superparticle will be revisited. In this sense, an alternative way of defining the ghost number one vertex operator will be given after introducing a ghost number -2 operator made out of physical operators defined on the 11D non-minimal pure spinor superspace. This procedure will make explicit and transparent the relation between the ghost number three and one vertex operators. In addition, using a non-Lorentz covariant b-ghost, ghost number zero and two vertex operators satisfying standard descent equations will be presented in full form.

scholarly journals Theta expansion of first massive vertex operator in pure spinor

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Subhroneel Chakrabarti ◽  
Sitender Pratap Kashyap ◽  
Mritunjay Verma
Keyword(s):  
Vertex Operator ◽  
Pure Spinor

VERTEX OPERATORS FOR THE CLOSED BOSONIC STRING THEORY AT ARBITRARY GENUS IN THE OPERATOR FORMALISM

1990 ◽  
Vol 05 (12) ◽  
pp. 2391-2409 ◽  
Author(s):  
ADRIAN R. LUGO
Keyword(s):  
String Theory ◽  
Bosonic String ◽  
Integral Approach ◽  
Vertex Operators ◽  
Operator Formalism ◽  
Covariant Derivatives ◽  
Bosonic String Theory ◽  
Dilaton Coupling ◽  
Derivatives Of ◽  
Closed Bosonic String

A systematic procedure for constructing vertex operators for the physical states of the closed bosonic string theory at genus g in the operator formalism is presented. The method is based on imposing suitable commutation relations with the generators of the conformal transformations required by unitarity of scattering amplitudes. An Arakelov-type metric on the Riemann surface naturally arises in the case of the tachyon, which allows to define vertex operators at higher levels via covariant derivatives. They involve covariant derivatives of the curvature with respect to this metric as it happens in the path integral approach. As a particular result, the Fradkin-Tseytlin dilaton coupling is obtained.

scholarly journals A construction of integrated vertex operator in the pure spinor sigma-model in AdS 5 × S 5

2013 ◽  
Vol 2013 (11) ◽  
Author(s):  
Osvaldo Chandia ◽  
Andrei Mikhailov ◽  
Brenno C. Vallilo
Keyword(s):  
Vertex Operator ◽  
Sigma Model ◽  
Pure Spinor

scholarly journals TWISTED VERTEX OPERATORS AND BERNOULLI POLYNOMIALS

2006 ◽  
Vol 08 (02) ◽  
pp. 247-307 ◽  
Author(s):  
B. DOYON ◽  
J. LEPOWSKY ◽  
A. MILAS
Keyword(s):  
Vertex Operator ◽  
Operator Algebra ◽  
Central Extension ◽  
Vertex Operator Algebra ◽  
Differential Operators ◽  
Operator Algebras ◽  
Bernoulli Polynomials ◽  
Vertex Operator Algebras ◽  
Vertex Operators ◽  
Special Case

Using general principles in the theory of vertex operator algebras and their twisted modules, we obtain a bosonic, twisted construction of a certain central extension of a Lie algebra of differential operators on the circle, for an arbitrary twisting automorphism. The construction involves the Bernoulli polynomials in a fundamental way. We develop new identities and principles in the theory of vertex operator algebras and their twisted modules, and explain the construction by applying general results, including an identity that we call modified weak associativity, to the Heisenberg vertex operator algebra. This paper gives proofs and further explanations of results announced earlier. It is a generalization to twisted vertex operators of work announced by the second author some time ago, and includes as a special case the proof of the main results of that work.

scholarly journals VERTEX OPERATORS AND QUANTUM HALL EFFECT

1991 ◽  
Vol 06 (04) ◽  
pp. 347-358 ◽  
Author(s):  
SERGIO FUBINI
Keyword(s):  
General Theory ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Vertex Operator ◽  
Essential Role ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Vertex Operators ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

F.V. vertex operator which allows a consistent bosonization of fermions, bosons and anyons is shown. It thus plays an essential role in the general theory of Fractional Quantum Hall Effect (F.Q.H.E.).

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