Results 1  10
of
15
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.
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.
BRST quantization of the pure spinor superstring
, 2007
"... We present a derivation of the scattering amplitude prescription for the pure spinor superstring from first principles, both in the minimal and nonminimal formulations, and show that they are equivalent. This is achieved by first coupling the worldsheet action to topological gravity and then procee ..."
Abstract

Cited by 11 (2 self)
 Add to MetaCart
We present a derivation of the scattering amplitude prescription for the pure spinor superstring from first principles, both in the minimal and nonminimal formulations, and show that they are equivalent. This is achieved by first coupling the worldsheet action to topological gravity and then proceeding to BRST quantize this system. Our analysis includes the introduction of constant ghosts and associated auxiliary fields needed to gauge fix symmetries associated with zero modes. All fields introduced in the process of quantization can be integrated out explicitly, resulting in the prescriptions for computing scattering amplitudes that have appeared previously in the literature. The zero mode insertions in the path integral follow from the integration
Note about classical dynamics of pure spinor string on AdS(5) x S(5) background, Eur. Phys
 J. C50
, 1980
"... Preprint typeset in JHEP style. HYPER VERSION ..."
(Show Context)
J H E P01(2009)021 Published by IOP Publishing for SISSA
, 2008
"... The classical exchange algebra of AdS5 × S 5 string theory ..."
String Theory in México
"... Abstract. We review the work related to string theory that has been carried out in Mexico in the past two decades. ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract. We review the work related to string theory that has been carried out in Mexico in the past two decades.
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)
hepth/0606188 ROM2F/2006/12 Current Algebra of the Pure Spinor
, 2006
"... Abstract: We perform a Hamiltonian analysis of the classical type IIB superstring on AdS5 × S 5 in the pure spinor approach. Taking the spatial components of the leftinvariant (super)currents and the pure spinor ghosts as canonical variables, we compute the classical graded Poisson brackets of the ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract: We perform a Hamiltonian analysis of the classical type IIB superstring on AdS5 × S 5 in the pure spinor approach. Taking the spatial components of the leftinvariant (super)currents and the pure spinor ghosts as canonical variables, we compute the classical graded Poisson brackets of the currents and ghosts and identify the first class constraints associated to the local SO(4, 1) ×SO(5) symmetry and the pure spinor condition. We then study the properties of the BRST generators and the Hamiltonian along the constraints. For a natural choice of the the Lagrange multipliers, we show equivalence of the canonical equations of motion with the covariant ones. Finally we briefly discuss the (non) local currents, including the ghost contribution, that generate the global PSU(2, 24) symmetry and its Yangian extension in the present framework.
D=4 Pure Spinor Superstring and N=2 Strings
, 2005
"... We study the compactification of the pure spinor superstring down to four dimensions. We find that the compactified string is described by a conformal invariant system for both the four dimensional and for the compact six dimensional variables. The four dimensional sector is found to be invariant un ..."
Abstract
 Add to MetaCart
(Show Context)
We study the compactification of the pure spinor superstring down to four dimensions. We find that the compactified string is described by a conformal invariant system for both the four dimensional and for the compact six dimensional variables. The four dimensional sector is found to be invariant under a noncritical N=2 superconformal transformations.
CERNPHTH/2005169 Lowerdimensional purespinor superstrings
, 2005
"... We study to what extent it is possible to generalise Berkovits ’ purespinor construction in d=10 to lower dimensions. Using a suitable definition of a “pure ” spinor in d = 4,6, we propose models analogous to the d = 10 purespinor superstring in these dimensions. Similar models in d = 2,3 are also ..."
Abstract
 Add to MetaCart
(Show Context)
We study to what extent it is possible to generalise Berkovits ’ purespinor construction in d=10 to lower dimensions. Using a suitable definition of a “pure ” spinor in d = 4,6, we propose models analogous to the d = 10 purespinor superstring in these dimensions. Similar models in d = 2,3 are also briefly discussed. 1 Introduction and