Relating the Green-Schwarz and Pure Spinor Formalisms for the Superstring

Berkovits, Nathan; Marchioro, Dáfni Z.

doi:10.1088/1126-6708/2005/01/018

Cited by 68 publications

(140 citation statements)

References 23 publications

Supporting

Mentioning

130

Contrasting

Order By: Relevance

“…Additionally, the physical spectrum is constructed on a free-field action (for flat space) using a single non-hermitian BRST charge which is nilpotent when the pure spinor constaint is satisfied. It has been shown that the string spectrum identified with the BRST cohomology coincides with the light-cone spectrum of the GS strings [4,5,6]. This spectrum is found by solving the pure spinor constraint in an SO(8) covariant way.…”

Section: Introductionmentioning

confidence: 96%

Partition functions of pure spinors

Grassi

Morera

2006

Nuclear Physics B

View full text Add to dashboard Cite

We compute partition functions describing multiplicities and charges of massless and first massive string states of pure-spinor superstrings in 3, 4, 6, 10 dimensions. At the massless level we find a spin-one gauge multiplet of minimal supersymmetry in d dimensions. At the first massive string level we find a massive spin-two multiplet. The result is confirmed by a direct analysis of the BRST cohomology at ghost number one. The central charges of the pure spinor systems are derived in a manifestly SO(d) covariant way confirming that the resulting string theories are critical. A critical string model with N = (2, 0) supersymmetry in d = 2 is also described.

show abstract

Section: Introductionmentioning

confidence: 96%

Partition functions of pure spinors

Grassi

Morera

2006

Nuclear Physics B

View full text Add to dashboard Cite

show abstract

“…For this reason, the new formalism is often referred to as the "pure spinor superstring". Although a fair amount of research has been carried out since the appearance of [1], there are still many other aspects of the theory which one would like to understand better, such as its origin from sigma model gauge-fixing (see, e.g., [2,3,4]). Given the promise of the pure spinor formalism to by-pass the main difficulties in both GS and RNS formalisms, thus opening the way to previously unexplored aspects of superstring theory, it becomes very important to fully develop the pure spinor superstring in all its aspects.…”

Section: Introductionmentioning

confidence: 99%

D-brane boundary states in the pure spinor superstring

Schiappa¹,

Wyllard²

2005

J. High Energy Phys.

View full text Add to dashboard Cite

We study the construction of D-brane boundary states in the pure spinor formalism for the quantisation of the superstring. This is achieved both via a direct analysis of the definition of D-brane boundary states in the pure spinor conformal field theory, as well as via comparison between standard RNS and pure spinor descriptions of the superstring. Regarding the map between RNS and pure spinor formulations of the superstring, we shed new light on the tree level zero mode saturation rule. Within the pure spinor formalism we propose an explicit expression for the D-brane boundary state in a flat spacetime background. While the non-zero mode sector mostly follows from a simple understanding of the pure spinor conformal field theory, the zero mode sector requires a deeper analysis which is one of the main points in this work. With the construction of the boundary states at hand, we give a prescription for calculating scattering amplitudes in the presence of a D-brane. Finally, we also briefly discuss the coupling to the world-volume gauge field and show that the D-brane low-energy effective action is correctly reproduced.

show abstract

“…Due to the feature that it keeps all the spacetime symmetries manifest, the pure spinor formalism provides a very efficient method for computing the scattering amplitudes [4,[10][11][12][13][14]. The equivalence of the pure spinor formalism with RNS and Green-Schwarz formalism has been shown at the level of the BRST cohomology and also through quite a few explicit amplitude computations [15][16][17][18].…”

Section: Jhep01(2018)019mentioning

confidence: 99%

Theta expansion of first massive vertex operator in pure spinor

Chakrabarti

Kashyap

Verma

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We provide the covariant superspace equations that are sufficient to determine the complete θ expansion of the vertex operator of the open string massive states with (mass) 2 = 1/α in pure spinor formalism of superstring theory. These equations get rid of the redundant degrees of freedom in superfields and are consistent with the BRST conditions derived in [1]. Further, we give the explicit θ expansion of the superfields appearing in the unintegrated vertex to O(θ 3 ). Finally, we compute the contribution to a 3-point tree amplitude with the resulting vertex operator upto O(θ 3 ) and find its kinematic structure to be identical to the corresponding RNS computation.

show abstract

Relating the Green-Schwarz and Pure Spinor Formalisms for the Superstring

Cited by 68 publications

References 23 publications

Partition functions of pure spinors

Partition functions of pure spinors

D-brane boundary states in the pure spinor superstring

Theta expansion of first massive vertex operator in pure spinor

Contact Info

Product

Resources

About