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By analogy with the formula for the massless string disk amplitudes, we define massive field-theory tree amplitudes and conjecture that the BRST cohomology structure of pure spinor superspace fixes their form. We give evidence by deriving…

高能物理 - 理论 · 物理学 2024-07-17 Carlos R. Mafra

We provide the covariant superspace equations that are sufficient to determine the complete $\theta$ expansion of the vertex operator of the open string massive states with $(mass)^2=1/\alpha'$ in pure spinor formalism of superstring…

高能物理 - 理论 · 物理学 2018-02-14 Subhroneel Chakrabarti , Sitender Pratap Kashyap , Mritunjay Verma

The tree-level amplitude of six massless open strings is computed using the pure spinor formalism. The OPE poles among integrated and unintegrated vertices can be efficiently organized according to the cohomology of pure spinor superspace.…

高能物理 - 理论 · 物理学 2015-03-17 Carlos R. Mafra , Oliver Schlotterer , Stephan Stieberger , Dimitrios Tsimpis

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

We construct the integrated vertex operator for the first massive states of open superstrings with $(mass)^2=1/\alpha'$ in the pure spinor formalism of the superstring theory. This vertex operator is expressed in terms of the ten…

高能物理 - 理论 · 物理学 2018-12-04 Subhroneel Chakrabarti , Sitender Pratap Kashyap , Mritunjay Verma

The open- and closed-string three- and four-point one-loop amplitudes involving massless states and one first-level massive state are computed in pure spinor superspace. For the open string, we show that their one-loop correlators can be…

高能物理 - 理论 · 物理学 2025-08-14 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

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

Using BRST cohomology properties in pure spinor superspace and identities for OPE brackets of non-free fields, we obtain a new compact nested-bracket representation of massive tree-level three-point open-string amplitudes in which Moebius…

高能物理 - 理论 · 物理学 2026-04-02 Chen Huang , Carlos R. Mafra , Yi-Xiao Tao

We compute the massless five-point amplitude of open superstrings using the non-minimal pure spinor formalism and obtain a simple kinematic factor in pure spinor superspace, which can be viewed as the natural extension of the kinematic…

高能物理 - 理论 · 物理学 2009-04-13 Carlos R. Mafra , Christian Stahn

We use the pure spinor formalism to obtain the supersymmetric massless five-point amplitude at tree-level in a streamlined fashion. We also prove the equivalence of an OPE identity in string theory with a subset of the…

高能物理 - 理论 · 物理学 2010-01-22 Carlos R. Mafra

Same amplitudes evaluated independently using RNS and pure spinor formalism are expected to agree. While for massless states, this fact has been firmly established, for massive states such an explicit check has been lacking so far. We…

高能物理 - 理论 · 物理学 2018-12-26 Subhroneel Chakrabarti , Sitender Pratap Kashyap , Mritunjay Verma

This thesis discusses how the pure spinor formalism can be used to efficiently compute superstring scattering amplitudes. We emphasize the pure spinor superspace form of the kinematic factors, where the simplifying features of this language…

高能物理 - 理论 · 物理学 2009-03-26 Carlos R. Mafra

Using the pure spinor formalism we prove identities which relate the tree-level, one-loop and two-loop kinematic factors for massless four-point amplitudes. From these identities it follows that the complete supersymmetric one- and two-loop…

高能物理 - 理论 · 物理学 2014-11-18 Carlos R. Mafra

We present the massless six-point one-loop amplitudes in the open and closed superstring using BRST cohomology arguments from the pure spinor formalism. The hexagon gauge anomaly is traced back to a class of kinematic factors in pure spinor…

高能物理 - 理论 · 物理学 2016-05-05 Carlos R. Mafra , Oliver Schlotterer

We present a prescription for computing the tree-level two-point amplitude of closed strings in the pure spinor superstring formalism, thereby completing the analysis of such superstring amplitudes. The construction relies on fixing the…

高能物理 - 理论 · 物理学 2025-12-30 Sitender Pratap Kashyap

We describe a pure spinor BRST cohomology framework to compactly represent ten-dimensional one-loop amplitudes involving any number of massless open- and closed-string states. The method of previous work to construct scalar and vectorial…

高能物理 - 理论 · 物理学 2014-08-18 Carlos R. Mafra , Oliver Schlotterer

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

The vertex operator for the first massive states of the open superstring is constructed in terms of d=10 super Yang-Mills superfields using the OPE's of massless vertex operators in the pure spinor formalism.

高能物理 - 理论 · 物理学 2024-02-06 Bruno Rodrigues Soares

As a check of the first massive integrated vertex operator in the pure spinor formalism constructed in arXiv:1802.04486, we compute the one loop 2-point function of the stable non-BPS massive states in SO(32) heterotic string theory. This…

高能物理 - 理论 · 物理学 2023-01-13 Sitender Pratap Kashyap , Mritunjay Verma
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