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The pure spinor formalism for the superstring, initiated by N. Berkovits, is derived at the fully quantum level starting from a fundamental reparametrization invariant and super-Poincare invariant worldsheet action. It is a simple extension…

High Energy Physics - Theory · Physics 2010-02-03 Yuri Aisaka , Yoichi Kazama

We use Berkovits' pure spinor quantization to compute various three-point tree correlation functions in position-space for the Type IIB superstring. We solve the constraint equations for the vertex operators and obtain explicit expressions…

High Energy Physics - Theory · Physics 2009-11-07 Gautam Trivedi

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.…

High Energy Physics - Theory · Physics 2015-03-17 Carlos R. Mafra , Oliver Schlotterer , Stephan Stieberger , Dimitrios Tsimpis

We extract from gauge theoretical calculations the matrix elements of the SYM dilatation operator. By the BMN correspondence this should coincide with the 3-string vertex of light cone string field theory in the pp-wave background. We find…

High Energy Physics - Theory · Physics 2009-11-07 Romuald A. Janik

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…

High Energy Physics - Theory · Physics 2009-10-30 N. Berkovits , M. M. Leite

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…

High Energy Physics - Theory · Physics 2009-11-11 Ricardo Schiappa , Niclas Wyllard

We construct the cubic interaction vertex and dynamically generated supercharges in light-cone superstring field theory for a large class half-supersymmetric D-branes in the plane-wave background. We show that these satisfy the plane-wave…

High Energy Physics - Theory · Physics 2010-04-05 B. Stefanski

The interpretation of quantum mechanics due to Lande' is applied to the connection between wave mechanics and matrix mechanics. The connection between the differential eigenvalue equation and the matrix eigenvalue equation for an operator…

Quantum Physics · Physics 2007-05-23 Habatwa Vincent Mweene

The restricted solid-on-solid models in the anti-ferromagnetic regime is studied in the framework of quantum affine algebras. Following the line developed recently for vertex models, a representation theoretical picture is presented for the…

High Energy Physics - Theory · Physics 2009-10-22 Michio Jimbo , Tetsuji Miwa , Yasuhiro Ohta

Physical states of the superstring can be described in light-cone gauge by acting with transverse bosonic $\alpha_{-n}^{j}$ and fermionic $\bar{q}_{-n}^{\dot{a}}$ operators on an $SO\left(8\right)$-covariant superfield where $j,\dot{a}=1$…

High Energy Physics - Theory · Physics 2016-05-27 Nathan Berkovits , Renann Lipinski Jusinskas

On-shell supergravity vertex operators in an $AdS_5\times S^5$ background are described in the pure spinor formalism by the zero mode cohomology of a BRST operator. After expanding the pure spinor BRST operator in terms of the $AdS_5$…

High Energy Physics - Theory · Physics 2015-06-12 Nathan Berkovits , Thiago Fleury

The superspace formulation of the worldvolume action of twistor string models is considered. It is shown that for the Berkovits-Siegel closed twistor string such a formulation is provided by a N=4 twistor-like action of the tensionless…

High Energy Physics - Theory · Physics 2011-07-19 Igor A. Bandos , Jose A. de Azcarraga , Cesar Miquel-Espanya

We consider an exremal three-point correlator of three heavy vertex operators for the circular winding string state with one large spin and one windining number in AdS5 and one large spin and one winding number in S5. We use a…

High Energy Physics - Theory · Physics 2015-06-04 Shijong Ryang

Bosonic and RNS chiral strings have been defined from a singular gauge fixing of the respective Polyakov and spinning string actions, enforcing, among other things, the finite nature of their physical spectra. Except for the heterotic case,…

High Energy Physics - Theory · Physics 2021-12-22 Max Guillen

We report on progress in determining the complete form of vertex operators for the IIB matrix model. The exact expressions are obtained for those emitting massless IIB supergravity fields up to sixth order in the light-cone superfield, in…

High Energy Physics - Theory · Physics 2008-11-26 Yoshihisa Kitazawa , Shun'ya Mizoguchi , Osamu Saito

We analyze one loop scattering amplitudes of the massless states on a stack of D3-branes. We use the vertex operators that have been obtained in the direct open string analysis developed in arXiv:0708.3452. The method does not have the…

High Energy Physics - Theory · Physics 2009-11-05 I. Y. Park

We discuss an analysis presented by N. Berkovits in [arXiv:0712.0324] in the context of classical mechanics and perform its extension to the case of pure spinor string in general background.

High Energy Physics - Theory · Physics 2009-02-23 J. Kluson

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…

High Energy Physics - Theory · Physics 2025-08-14 Carlos R. Mafra

We give the first construction of covariant coherent closed string states, which may be identified with fundamental cosmic strings. We outline the requirements for a string state to describe a cosmic string, and using DDF operators provide…

High Energy Physics - Theory · Physics 2011-03-02 Mark Hindmarsh , Dimitri Skliros

We compute partition functions describing multiplicities and charges of massless and first massive string states of pure-spinor superstrings in 3,4,6,10 dimensions. At the massless level we find a spin-one gauge multiplet of minimal…

High Energy Physics - Theory · Physics 2008-11-26 P. A. Grassi , J. F. Morales Morera
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