The quantum superstring as a WZNW model with N=2 superconformal symmetry

Grassi, Pietro Antonio; Policastro, Giuseppe; Nieuwenhuizen, P. van

doi:10.1016/j.nuclphysb.2003.10.008

Cited by 31 publications

(50 citation statements)

References 63 publications

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“…where ω I (z) are the g holomorphic one-forms satisfying A I dz ω J (z) = δ IJ , A I dz are contour integrals around the g non-trivial A-cycles, and the hatted variables F (z) of (4. 12) have no zero modes and are defined to satisfy A I dz F (z) = 0 for I = 1 to g.…”

Section: Loop Amplitudesmentioning

confidence: 99%

“…In earlier papers, there have been various proposals for a more "geometric" version of the pure spinor formalism, some of which share certain properties with the non-minimal pure spinor formalism presented here. For example, one proposal suggests relaxing the pure spinor constraint and adding ghosts-for-ghosts to the formalism which allows N=2 worldsheet supersymmetry [12]. However, the N=2 worldsheet supersymmetry transformations in this proposal are quite different from the N=2 transformations in the non-minimal pure spinor formalism, and the ghosts-for-ghosts do not play the role of non-minimal fields since they affect the BRST cohomology.…”

Section: Introductionmentioning

confidence: 99%

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Pure spinor formalism as anN= 2 topological string

Berkovits¹

2005

J. High Energy Phys.

184

518

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Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are added to the pure spinor formalism for the superstring. Twistedĉ = 3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spin-one generator, and the formalism is interpreted as a critical topological string. Three applications of this topological string theory include the super-Poincaré covariant computation of multiloop superstring amplitudes without picture-changing operators, the construction of a cubic open superstring field theory without contact-term problems, and a new four-dimensional version of the pure spinor formalism which computes F-terms in the spacetime action.

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Section: Loop Amplitudesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pure spinor formalism as anN= 2 topological string

Berkovits¹

2005

J. High Energy Phys.

184

518

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“…Using the relations (5.3), we write for the closed 4-point amplitude 16) where N is a normalization factor to be fixed, and…”

Section: The 4-point Amplitudementioning

confidence: 99%

R ⁴ , purified

Policastro¹,

Tsimpis²

2006

Class. Quantum Grav.

104

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We derive, using the pure-spinor 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 quartic-field approximation, the supergravity Lagrangian can be thought of as the tensor product, in a suitable sense, of two copies of the superYang-Mills Lagrangian in ten dimensions. The NS-NS three-form enters the supergravity Lagrangian through a modified connection with torsion. As a byproduct, we derive the complete, i.e. to all orders in the θ-expansion, closed-string vertex operator in a flat target-space background.

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“…We have thus learned that the full stress tensor (excluding the ∂x part) can be written as a sum of two WZNW and two Coulomb gas pieces. In [24,23] it has also been noted that the pure spinor superstring (in the extended formulation where the pure spinor constraint is relaxed) can be formulated in terms of WZNW models.…”

Section: Type II Covariant Superstrings In a Flat Backgroundmentioning

confidence: 99%

D-brane boundary states in the pure spinor superstring

Schiappa¹,

Wyllard²

2005

J. High Energy Phys.

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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.

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The quantum superstring as a WZNW model with N=2 superconformal symmetry

Cited by 31 publications

References 63 publications

Pure spinor formalism as anN= 2 topological string

Pure spinor formalism as anN= 2 topological string

R ⁴ , purified

D-brane boundary states in the pure spinor superstring

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The quantum superstring as a WZNW model with N=2 superconformal symmetry

Cited by 31 publications

References 63 publications

Pure spinor formalism as anN= 2 topological string

Pure spinor formalism as anN= 2 topological string

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D-brane boundary states in the pure spinor superstring

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