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A new manifestly spacetime-supersymmetric prescription for superstring amplitude computations is given using the pure spinor formalism which does not contain subtleties from poles in the pure spinor ghosts. This super-Poincare covariant…

高能物理 - 理论 · 物理学 2025-04-23 Nathan Berkovits

Using pure spinors, the superstring is covariantly quantized. For the first time, massless vertex operators are constructed and scattering amplitudes are computed in a manifestly ten-dimensional super-Poincar\'e covariant manner.…

高能物理 - 理论 · 物理学 2009-10-31 Nathan Berkovits

The new spacetime-supersymmetric description of the superstring is used to compute tree-level scattering amplitudes for an arbitrary number of massless four-dimensional states. The resulting Koba-Nielsen formula is manifestly SO(3,1)…

高能物理 - 理论 · 物理学 2009-10-30 Nathan Berkovits

The super-Poincare covariant formalism for the superstring is used to compute massless four-point two-loop amplitudes in ten-dimensional superspace. The computations are much simpler than in the RNS formalism and include both external…

高能物理 - 理论 · 物理学 2009-11-11 Nathan Berkovits

A ten-dimensional super-Poincare covariant formalism for the superstring was recently developed which involves a BRST operator constructed from superspace matter variables and a pure spinor ghost variable. A super-Poincare covariant…

高能物理 - 理论 · 物理学 2010-04-06 Nathan Berkovits

The superstring is quantized in a manner which manifestly preserves a U(5) subgroup of the (Wick-rotated) ten-dimensional super-Poincar\'e invariance. This description of the superstring contains critical N=2 worldsheet superconformal…

高能物理 - 理论 · 物理学 2009-10-31 Nathan Berkovits

We present a complete computation of superstring scattering amplitudes at tree level, for the case of Neveu-Schwarz insertions. Mathematically, this is to say that we determine explicitly the superstring measure on the moduli space…

高能物理 - 理论 · 物理学 2024-03-15 Sergio Luigi Cacciatori , Samuel Grushevsky , Alexander A. Voronov

Scattering amplitudes of the spin-4/3 fractional superstring are shown to satisfy spurious state decoupling and cyclic symmetry (duality) at tree-level in the string perturbation expansion. This fractional superstring is characterized by…

高能物理 - 理论 · 物理学 2009-10-22 Philip C. Argyres , S. -H. Henry Tye

We generalize the method of quantizing effective strings proposed by Polchinski and Strominger to superstrings. The Ramond-Neveu-Schwarz string is different from the Green-Schwarz string in non-critical dimensions. Both are anomaly-free and…

高能物理 - 理论 · 物理学 2009-10-22 Zhu Yang

We use the non-minimal pure spinor formalism to compute in a super-Poincare covariant manner the four-point massless one and two-loop open superstring amplitudes, and the gauge anomaly of the six-point one-loop amplitude. All of these…

高能物理 - 理论 · 物理学 2009-11-11 Nathan Berkovits , Carlos R. Mafra

We provide a prescription for computing two-point tree amplitudes in the pure spinor formalism that are finite and agree with the corresponding expression in the field theories. In [arXiv:1906.06051v1-arXiv:1909.03672v3], same results were…

高能物理 - 理论 · 物理学 2025-01-15 Sitender Pratap Kashyap

The pure spinor formalism for the superstring has recently been used to compute massless four-point two-loop amplitudes in a manifestly super-Poincare covariant manner. In this paper, we show that when all four external states are…

高能物理 - 理论 · 物理学 2009-11-11 Nathan Berkovits , Carlos R. Mafra

These ICTP Trieste lecture notes review the pure spinor approach to quantizing the superstring with manifest D=10 super-Poincare invariance. The first section discusses covariant quantization of the superparticle and gives a new proof of…

高能物理 - 理论 · 物理学 2007-05-23 Nathan Berkovits

By replacing two of the bosonic scalar superfields of the N=2 string with fermionic scalar superfields (which shifts $d_{critical}$ from (2,2) to (9,1)), a quadratic action for the ten-dimensional Green-Schwarz superstring is obtained.…

高能物理 - 理论 · 物理学 2007-05-23 Nathan Berkovits

Using the non-minimal version of the pure spinor formalism, manifestly super-Poincare covariant superstring scattering amplitudes can be computed as in topological string theory without the need of picture-changing operators. The only…

高能物理 - 理论 · 物理学 2009-11-11 Nathan Berkovits , Nikita Nekrasov

After reviewing the Green-Schwarz superstring using the approach of Siegel, the superstring is covariantly quantized by constructing a BRST operator from the fermionic constraints and a bosonic pure spinor ghost variable. Physical massless…

高能物理 - 理论 · 物理学 2015-06-25 Nathan Berkovits

We develop a pure spinor worldline formalism for computing tree-level scattering amplitudes in 11D supergravity. Focusing first on the 4-point amplitude, we demonstrate that our prescription is consistent with BRST symmetry and gauge…

高能物理 - 理论 · 物理学 2025-12-11 Max Guillen , Marcelo dos Santos , Eggon Viana

In a recent paper, the BRST formalism for the gauge-fixed N=2 twistor-string was used to calculate Green-Schwarz supersring scattering amplitudes with an arbitrary number of loops and external massless states. Although the gauge-fixing…

高能物理 - 理论 · 物理学 2011-07-19 Nathan Berkovits

A manifestly super-Poincar\'e covariant formalism for the superstring has recently been constructed using a pure spinor variable. Unlike the covariant Green-Schwarz formalism, this new formalism is easily quantized with a BRST operator and…

高能物理 - 理论 · 物理学 2009-10-31 Nathan Berkovits

We give a comprehensive review of recent developments on using the pure spinor formalism to compute massless superstring scattering amplitudes at tree level. The main results of the pure spinor computations are placed into the context of…

高能物理 - 理论 · 物理学 2023-05-24 Carlos R. Mafra , Oliver Schlotterer
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