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23
Pure Spinor Superspace Identities for Massless Fourpoint Kinematic Factors
, 2008
"... Using the pure spinor formalism we prove identities which relate the treelevel, oneloop and twoloop kinematic factors for massless fourpoint amplitudes. From these identities it follows that the complete supersymmetric one and twoloop amplitudes are immediately known once the treelevel kinemat ..."
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Cited by 24 (12 self)
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Using the pure spinor formalism we prove identities which relate the treelevel, oneloop and twoloop kinematic factors for massless fourpoint amplitudes. From these identities it follows that the complete supersymmetric one and twoloop amplitudes are immediately known once the treelevel kinematic factor is evaluated. In particular, the twoloop equivalence with the RNS formalism (up to an overall coefficient) is obtained as a corollary.
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 ..."
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Cited by 11 (2 self)
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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
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 ..."
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Cited by 10 (5 self)
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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 ..."
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COMPLEX GEOMETRY AND Supergeometry
, 2005
"... Complex geometry and supergeometry are closely entertwined in superstring perturbation theory, since perturbative superstring amplitudes are formulated in terms of supergeometry, and yet should reduce to integrals of holomorphic forms on the moduli space of punctured Riemann surfaces. The presence o ..."
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Cited by 5 (0 self)
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Complex geometry and supergeometry are closely entertwined in superstring perturbation theory, since perturbative superstring amplitudes are formulated in terms of supergeometry, and yet should reduce to integrals of holomorphic forms on the moduli space of punctured Riemann surfaces. The presence of supermoduli has been a major obstacle for a long time in carrying out this program. Recently, this obstacle has been overcome at genus 2, which is the first loop order where it appears in all amplitudes. An important ingredient is a better understanding of the relation between geometry and supergeometry, and between holomorphicity and superholomorphicity. This talk provides a survey of these developments and a brief discussion of the directions for further investigation.
Towards relating the kappasymmetric and purespinor versions
, 808
"... of the supermembrane ..."
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Operator Formulation of GreenSchwarz Superstring in the SemiLightCone Conformal Gauge
, 2010
"... ar ..."
Superstring Perturbation Theory
, 2009
"... The state of superstring perturbation theory is reviewed with an emphasis on the state of the pure spinor superstring perturbation theory. We begin with a brief summary of the state of perturbation theory in the Ramond–Neveu–Schwarz and in the Green–Schwarz formulations of the superstring. Then we ..."
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Cited by 1 (0 self)
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The state of superstring perturbation theory is reviewed with an emphasis on the state of the pure spinor superstring perturbation theory. We begin with a brief summary of the state of perturbation theory in the Ramond–Neveu–Schwarz and in the Green–Schwarz formulations of the superstring. Then we proceed to a quick review of the minimal and nonminimal pure spinor formulations of the superstring and discuss the multiloop amplitude prescriptions in each of them. We end with a summary and open questions.