scholarly journals Integrated massive vertex operator in pure spinor formalism

2018 ◽  
Vol 2018 (10) ◽  
Author(s):  
Subhroneel Chakrabarti ◽  
Sitender Pratap Kashyap ◽  
Mritunjay Verma
Keyword(s):  
Vertex Operator ◽  
Pure Spinor ◽  
Spinor Formalism ◽  
Pure Spinor Formalism

scholarly journals (NON)TRIVIALITY OF PURE SPINORS AND EXACT PURE SPINOR–RNS MAP

2009 ◽  
Vol 24 (14) ◽  
pp. 2677-2687 ◽  
Author(s):  
DIMITRI POLYAKOV
Keyword(s):  
Hilbert Space ◽  
String Theory ◽  
Vertex Operator ◽  
Similarity Transformation ◽  
Pure Spinor ◽  
Brst Operator ◽  
Variable Λ ◽  
Brst Cohomology ◽  
Spinor Formalism ◽  
Pure Spinor Formalism

All the BRST-invariant operators in pure spinor formalism in d = 10 can be represented as BRST commutators, such as [Formula: see text] where λ+ is the U(5) component of the pure spinor transforming as [Formula: see text]. Therefore, in order to secure nontriviality of BRST cohomology in pure spinor string theory, one has to introduce "small Hilbert space" and "small operator algebra" for pure spinors, analogous to those existing in RNS formalism. As any invariant vertex operator in RNS string theory can also represented as a commutator V = {Q brst , LV} where L = -4c∂ξξe-2ϕ, we show that mapping [Formula: see text] to L leads to identification of the pure spinor variable λα in terms of RNS variables without any additional nonminimal fields. We construct the RNS operator satisfying all the properties of λα and show that the pure spinor BRST operator ∮λαdα is mapped (up to similarity transformation) to the BRST operator of RNS theory under such a construction.

scholarly journals Higher-loop amplitudes in the non-minimal pure spinor formalism

2009 ◽  
Vol 2009 (05) ◽  
pp. 089-089 ◽  
Author(s):  
Pietro Antonio Grassi ◽  
Pierre Vanhove
Keyword(s):  
Pure Spinor ◽  
Spinor Formalism ◽  
Pure Spinor Formalism ◽  
Loop Amplitudes

scholarly journals COVARIANT MATRIX MODEL OF SUPERPARTICLE IN THE PURE SPINOR FORMALISM

2003 ◽  
Vol 18 (15) ◽  
pp. 1023-1035 ◽  
Author(s):  
ICHIRO ODA
Keyword(s):  
Matrix Model ◽  
Brst Symmetry ◽  
Explicit Calculation ◽  
Pure Spinor ◽  
First Order ◽  
Free Theory ◽  
The Matrix ◽  
The One ◽  
Spinor Formalism ◽  
Pure Spinor Formalism

On the basis of the Berkovits pure spinor formalism of covariant quantization of supermembrane, we attempt to construct a M(atrix) theory which is covariant under SO(1, 10) Lorentz group. We first construct a bosonic M(atrix) theory by starting with the first-order formalism of bosonic membrane, which precisely gives us a bosonic sector of M(atrix) theory by BFSS. Next we generalize this method to the construction of M(atrix) theory of supermembranes. However, it seems to be difficult to obtain a covariant and supersymmetric M(atrix) theory from the Berkovits pure spinor formalism of supermembrane because of the matrix character of the BRST symmetry. Instead, in this paper, we construct a supersymmetric and covariant matrix model of 11D superparticle, which corresponds to a particle limit of covariant M(atrix) theory. By an explicit calculation, we show that the one-loop effective potential is trivial, thereby implying that this matrix model is a free theory at least at the one-loop level.

scholarly journals BFT embedding of the Green-Schwarz superstring and the pure spinor formalism

2005 ◽  
Vol 2005 (09) ◽  
pp. 083-083 ◽  
Author(s):  
Alejandro Gaona ◽  
J. Antonio García
Keyword(s):  
Pure Spinor ◽  
Spinor Formalism ◽  
Pure Spinor Formalism
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