Results 1  10
of
54
Relating the GreenSchwarz and pure spinor formalisms for the superstring
 JHEP
, 2005
"... Abstract: Although it is not known how to covariantly quantize the GreenSchwarz (GS) superstring, there exists a semilightcone gauge choice in which the GS superstring can be quantized in a conformally invariant manner. In this paper, we prove that BRST quantization of the GS superstring in semi ..."
Abstract

Cited by 37 (3 self)
 Add to MetaCart
(Show Context)
Abstract: Although it is not known how to covariantly quantize the GreenSchwarz (GS) superstring, there exists a semilightcone gauge choice in which the GS superstring can be quantized in a conformally invariant manner. In this paper, we prove that BRST quantization of the GS superstring in semilightcone gauge is equivalent to BRST quantization using the pure spinor formalism for the superstring
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.
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
Spinor moving frame, M0brane covariant BRST quantization and intrinsic complexity of the pure spinor approach, arXiv:0707.2336[hepth], Phys
 Lett. B
"... To exhibit the possible origin of the inner complexity of the Berkovits’s pure spinor approach, we consider the covariant BRST quantization of the D=11 massless superparticle (M0–brane) in its spinor moving frame or twistorlike Lorentz harmonics formulation. The presence of additional twistorlike ..."
Abstract

Cited by 10 (8 self)
 Add to MetaCart
(Show Context)
To exhibit the possible origin of the inner complexity of the Berkovits’s pure spinor approach, we consider the covariant BRST quantization of the D=11 massless superparticle (M0–brane) in its spinor moving frame or twistorlike Lorentz harmonics formulation. The presence of additional twistorlike variables (spinor harmonics) allows us to separate covariantly the first and the second class constraints. After taking into account the second class constraints by means of Dirac brackets and after further reducing the first class constraints algebra, the dynamical system is described by the cohomology of a simple BRST charge Q susy associated to the d = 1, n = 16 supersymmetry algebra. The calculation of the cohomology of this Q susy requires a regularization which implies the complexification of the bosonic ghost associated to the κ–symmetry and further leads to a complex (nonHermitian) BRST charge ˜ Q susy which is essentially the ‘pure spinor ’ BRST charge Q B by Recently a serious breakthrough in covariant description of quantum superstring theory has been reached in the framework of the Berkovits pure spinor approach [1]: a technique for loop calculations was developed [2] and the first results were given in [2, 3]. On the other hand, the pure spinor superstring was introduced asand still remains a set of prescriptions for quantum superstring
Pure spinors, free differential algebras, and the supermembrane
 Nucl. Phys. B
"... The lagrangian formalism for the supermembrane in any 11d supergravity background is constructed in the pure spinor framework. Our gaugefixed action is manifestly BRST, supersymmetric, and 3d Lorentz invariant. The relation between the Free Differential Algebras (FDA) underlying 11d supergravity an ..."
Abstract

Cited by 10 (5 self)
 Add to MetaCart
(Show Context)
The lagrangian formalism for the supermembrane in any 11d supergravity background is constructed in the pure spinor framework. Our gaugefixed action is manifestly BRST, supersymmetric, and 3d Lorentz invariant. The relation between the Free Differential Algebras (FDA) underlying 11d supergravity and the BRST symmetry of the membrane action is exploited. The ”gaugefixing ” has a natural interpretation as the variation of the Chevalley cohomology class needed for the extension of 11d superPoincaré superalgebra to Mtheory FDA. We study the solution of the pure spinor constraints in full detail. This work is supported in part by the European Union RTN contract MRTNCT2004005104 and by the The strong regime of string theory is usually denoted Mtheory. However, up to now, the underlying fundamental theory and the degrees of freedom are still unknown. Some indications coming from the lowenergy effective action, accurately described by 11dimensional supergravity, from the presence of extended objects in string theory such as the supermembrane
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)