scholarly journals The geometry of pure spinor space

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Martin Cederwall
Keyword(s):  
Pure Spinor ◽  
Spinor Space

scholarly journals On projections to the pure spinor space

2011 ◽  
Vol 2011 (12) ◽  
Author(s):  
P. A. Grassi ◽  
S. Guttenberg
Keyword(s):  
Pure Spinor ◽  
Spinor Space

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 Notes on the ambitwistor pure spinor string

2016 ◽  
Vol 2016 (5) ◽  
Author(s):  
Renann Lipinski Jusinskas
Keyword(s):  
Pure Spinor

scholarly journals On String Integrability: A Journey through the Two-Dimensional Hidden Symmetries in the AdS/CFT Dualities

2010 ◽  
Vol 2010 ◽  
pp. 1-133 ◽  
Author(s):  
Valentina Giangreco Marotta Puletti
Keyword(s):  
String Theory ◽  
Two Dimensional ◽  
Pure Spinor ◽  
Hidden Symmetries ◽  
Quantum Integrability ◽  
Conserved Charges ◽  
Phd Thesis

One of the main topics in the modern String Theory are the AdS/CFT dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of infinitely many conserved charges, that is, the integrability, in the planar AdS/CFT has allowed us to reach immense progresses in understanding and confirming the duality. We review the fundamental concepts and properties of integrability in two-dimensionalσ-models and in the AdS/CFT context. The first part is focused on theAdS5/CFT4duality, especially the classical and quantum integrability of the type IIB superstring onAdS5×S5which is discussed in both pure spinor and Green-Schwarz formulations. The second part is dedicated to theAdS4/CFT3duality with particular attention to the type IIA superstring onAdS4×ℂP3and its integrability. This review is based on the author's PhD thesis discussed at Uppsala University the 21st September 2009.

scholarly journals Pure spinor integration from the collating formula

2011 ◽  
Vol 849 (3) ◽  
pp. 675-692 ◽  
Author(s):  
P.A. Grassi ◽  
L. Sommovigo
Keyword(s):  
Pure Spinor

The geometry and algebra of the representations of the Lorentz group

1968 ◽  
Vol 303 (1474) ◽  
pp. 381-396 ◽  
Keyword(s):  
Projective Space ◽  
Lorentz Group ◽  
Point Of View ◽  
Normal Curve ◽  
Geometrical Representation ◽  
Spinor Space ◽  
Dimensional Projective Space ◽  
And Algebra ◽  
Rational Normal Curve ◽  
Formal Point

In this paper a (2j + l)-spinor analysis is developed along the lines of the 2-spinor and 3-spinor ones. We define generalized connecting quantities A μv (j) which transform like (j, 0) ⊗ (j -1, 0) in spinor space and like second rank tensors under transformations in space-time. The general properties of the A uv are investigated together with algebraic relations involving the Lorentz group generators, J μv . The connexion with 3j symbols is discussed. From a purely formal point of view we introduce a geometrical representation of a (2j +1)-spinor as a point in a 2j dimensional projective space. Then, for example, the charge con­jugate of a (2j + l)-spinor is just the polar of the corresponding point with respect to a certain rational, normal curve in the projective space. It is suggested that this representation will prove useful.

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