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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

We construct the unintegrated vertex operator at the first mass level of the open superstring from the OPE of massless vertices. Using BRST cohomology manipulations, the tree amplitude of two massless and one massive state is rewritten in…

高能物理 - 理论 · 物理学 2025-03-06 Sitender Pratap Kashyap , Carlos R. Mafra , Mritunjay Verma , Luis Ypanaqué

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

Using the pure spinor formalism for the superstring, the vertex operator for the first massive states of the open superstring is constructed in a manifestly super-Poincar\'e covariant manner. This vertex operator describes a massive…

高能物理 - 理论 · 物理学 2009-11-07 Nathan Berkovits , Osvaldo Chandia

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

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 construct an iterative procedure to compute the vertex operators of the closed superstring in the covariant formalism given a solution of IIA/IIB supergravity. The manifest supersymmetry allows us to construct vertex operators for any…

高能物理 - 理论 · 物理学 2009-11-10 P. A. Grassi , L. Tamassia

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

Recently, the superstring was covariantly quantized using the BRST-like operator $Q = \oint \lambda^\alpha d_\alpha$ where $\lambda^\alpha$ is a pure spinor and $d_\alpha$ are the fermionic Green-Schwarz constraints. By performing a field…

高能物理 - 理论 · 物理学 2009-11-07 Nathan Berkovits

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

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

A simple BRST-closed expression for the color-ordered super-Yang-Mills 5-point amplitude at tree-level is proposed in pure spinor superspace and shown to be BRST-equivalent to the field theory limit of the open superstring 5-pt amplitude.…

高能物理 - 理论 · 物理学 2010-11-26 Carlos R. Mafra

The operator formalism of the first quantized string theory is applied to the stringy excitations in the linear dilaton background. In particular, the normal-ordered vertex operators in the old-covariant spectrum of the bosonic open string,…

高能物理 - 理论 · 物理学 2009-08-03 Chuan-Tsung Chan , Wei-Ming Chen

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 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

Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are added to the pure spinor formalism for the superstring. Twisted $\hat c$=3 N=2 generators are then constructed where the pure spinor BRST operator is the…

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

A systematic scheme is developed for solving conformal algebra of the massive vertex operators in the old covariant first quantized string theory. Using the first massive level in the covariant spectrum of bosonic open string theory in flat…

高能物理 - 理论 · 物理学 2009-08-19 Chuan-Tsung Chan , Wei-Ming Chen

We study the application of the rules of Thermo Field Dynamics (TFD) to the covariant formulation of Open String Field Theory (OSFT). We extend the states space and fields according to the duplication rules of TFD and construct the…

高能物理 - 理论 · 物理学 2016-03-23 M. Botta Cantcheff , R. J. Scherer Santos

Using the manifestly spacetime supersymmetric description of the four-dimensional open superstring, we construct the vertex operator in superspace for the first massive state. This construction provides an N=1 D=4 superspace representation…

高能物理 - 理论 · 物理学 2009-10-30 N. Berkovits , M. M. Leite

Using the pure spinor formalism, a particular superstring scattering amplitude involving one closed string and $N$ open string vertex operators in $\mathrm{AdS}{}_5 \times \mathrm{S}^5$ is studied. It is shown that the tree-level amplitude…

高能物理 - 理论 · 物理学 2015-06-08 Thales Azevedo , Nathan Berkovits
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