Results 1 
9 of
9
Pure Spinor Formalism as an N=2 Topological String
, 2005
"... Following suggestions of Nekrasov and Siegel, a nonminimal set of fields are added to the pure spinor formalism for the superstring. Twisted ĉ = 3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spinone generator, and the formalism is interpreted as a criti ..."
Abstract

Cited by 36 (7 self)
 Add to MetaCart
Following suggestions of Nekrasov and Siegel, a nonminimal set of fields are added to the pure spinor formalism for the superstring. Twisted ĉ = 3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spinone generator, and the formalism is interpreted as a critical topological string. Three applications of this topological string theory include the superPoincaré covariant computation of multiloop superstring amplitudes without picturechanging operators, the construction of a cubic open superstring field theory without contactterm problems, and a new fourdimensional version of the pure spinor formalism which computes Fterms in the spacetime action.
Explaining the Pure Spinor Formalism for the Superstring
 JHEP 0801 (2008) 065, arXiv:0712.0324
"... ar ..."
(Show Context)
NonCritical Pure Spinor Superstrings
, 2006
"... We construct noncritical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spi ..."
Abstract

Cited by 15 (3 self)
 Add to MetaCart
(Show Context)
We construct noncritical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spinor space is an essential ingredient of the mapping. A basic feature of the map is the requirement of doubling the superspace, which we analyze in detail. We study the structure of the noncritical pure spinor space, which is different from the tendimensional one, and its quantum anomalies. We compute the pure spinor lowest lying BRST cohomology and find an agreement with the RNS spectra. The analysis is generalized to curved backgrounds and we construct as an example the noncritical pure spinor type IIA superstring on AdS4 with RR 4form flux.
J H E P01(2009)021 Published by IOP Publishing for SISSA
, 2008
"... The classical exchange algebra of AdS5 × S 5 string theory ..."
(Show Context)
Note About Redefinition of BRST Operator for Pure Spinor String in General Background
, 803
"... Preprint typeset in JHEP style HYPER VERSION hepth/0803.4390 ..."
(Show Context)
AEI2008085 The Classical Exchange Algebra of AdS5 × S 5 String Theory
, 810
"... The classical exchange algebra satisfied by the monodromy matrix of AdS5× S 5 string theory in the GreenSchwarz formulation is determined by using a firstorder Hamiltonian formulation and by adding to the BenaPolchinskiRoiban Lax connection terms proportional to constraints. This enables in part ..."
Abstract
 Add to MetaCart
(Show Context)
The classical exchange algebra satisfied by the monodromy matrix of AdS5× S 5 string theory in the GreenSchwarz formulation is determined by using a firstorder Hamiltonian formulation and by adding to the BenaPolchinskiRoiban Lax connection terms proportional to constraints. This enables in particular to show that the conserved charges of this theory are in involution. This result is obtained for a general worldsheet metric. The same exchange algebra is obtained within the pure spinor description of AdS5 × S 5 string theory. These results are compared to the one obtained by A. Mikhailov and S. SchäferNameki for the pure spinor formulation. 1
R 4, purified
, 2006
"... Abstract: We derive, using the purespinor formalism, the complete – including the fermions – fourpoint effective action of both type II superstrings to all orders in α ′ , at tree level in string loops. We find that, in the quarticfield approximation, the supergravity Lagrangian can be thought of ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract: We derive, using the purespinor formalism, the complete – including the fermions – fourpoint effective action of both type II superstrings to all orders in α ′ , at tree level in string loops. We find that, in the quarticfield approximation, the supergravity Lagrangian can be thought of as the tensor product, in a suitable sense, of two copies of the superYangMills Lagrangian in ten dimensions. The NSNS threeform enters the supergravity Lagrangian through a modified connection with torsion. As a byproduct, we derive the complete, i.e. to all orders in the θexpansion, closedstring vertex operator in a flat targetspace background.