scholarly journals Geometry of pure spinor formalism in superstring theory

2015 ◽  
Vol 268 ◽  
pp. 201-240
Author(s):  
Mikhail V. Movshev
Keyword(s):  
Pure Spinor ◽  
Superstring Theory ◽  
Spinor Formalism ◽  
Pure Spinor Formalism

scholarly journals NEW BRST CHARGES IN RNS SUPERSTRING THEORY AND DEFORMED PURE SPINORS

2009 ◽  
Vol 24 (32) ◽  
pp. 6177-6195 ◽  
Author(s):  
DIMITRI POLYAKOV
Keyword(s):  
Weak Sense ◽  
Operator Product ◽  
Pure Spinor ◽  
Superstring Theory ◽  
Brst Operator ◽  
Brst Charge ◽  
Singularity Order ◽  
Spinor Formalism ◽  
Superstring Theories ◽  
Pure Spinor Formalism

We show that new BRST charges in RNS superstring theory with nonstandard ghost numbers, constructed in our recent work, can be mapped to deformed pure spinor (PS) superstring theories, with the nilpotent pure spinor BRST charge QPS = ∮λαdα still retaining its form but with singular operator products between commuting spinor variables λα. Despite the OPE singularities, the pure spinor condition λγmλ = 0 is still fulfilled in a weak sense, explained in the paper. The operator product singularities correspond to introducing interactions between the pure spinors. We conjecture that the leading singularity orders of the OPE between two interacting pure spinors is related to the ghost number of the corresponding BRST operator in RNS formalism. Namely, it is conjectured that the BRST operators of minimal superconformal ghost pictures n > 0 can be mapped to nilpotent BRST operators in the deformed pure spinor formalism with the OPE of two commuting spinors having a leading singularity order λ(z)λ(w) ~ O(z-w)-2(n2+6n+1). The conjecture is checked explicitly for the first nontrivial case n = 1.

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.

Sign in / Sign up

Export Citation Format

Share Document