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Related papers: Twistor Origin of the Superstring

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This paper studies the two-component spinor form of massive spin-3/2 potentials in conformally flat Einstein four-manifolds. Following earlier work in the literature, a non-vanishing cosmological constant makes it necessary to introduce a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Giampiero Esposito , Giuseppe Pollifrone

This paper is intended to describe twistors via the paravector model of Clifford algebras and to relate such description to conformal maps in the Clifford algebra over R(4,1), besides pointing out some applications of the pure spinor…

Mathematical Physics · Physics 2007-05-23 Roldao da Rocha , Jayme Vaz

We construct multiloop superparticle amplitudes in 11d using the pure spinor formalism. We explain how this construction reduces to the superparticle limit of the multiloop pure spinor superstring amplitudes prescription. We then argue that…

High Energy Physics - Theory · Physics 2007-05-23 Pietro Antonio Grassi , Pierre Vanhove

The manifestly SU(4)xU(1) super-Poincare invariant free-field N=2 twistor- string action for the ten-dimensional Green-Schwarz superstring is quantized using standard BRST methods. Unlike the light-cone and semi-light-cone gauge-fixed…

High Energy Physics - Theory · Physics 2009-10-22 Nathan Berkovits

A new set of boundary conditions for string propagators is proposed in this paper. The boundary conditions are parametrized by a complex number $\lambda$. Under these new boundary conditions, the left-moving and right-moving modes are…

High Energy Physics - Theory · Physics 2021-09-29 Matheus Loss Lize , Bochen Lyu , Warren Siegel , Yu-Ping Wang

The pure spinor superstring in a type II curved background is considered. In order to define reparametrization ghosts, non-minimal pure spinor variables have to be present in the formalism. The BRST transformations of the non-minimal…

High Energy Physics - Theory · Physics 2019-10-30 Osvaldo Chandia

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…

High Energy Physics - Theory · Physics 2018-02-14 Subhroneel Chakrabarti , Sitender Pratap Kashyap , Mritunjay Verma

We describe the pure spinor string in the $AdS_5\times S^5$ using unconstrained matrices first used by Roiban and Siegel for the Green-Schwarz superstring.

High Energy Physics - Theory · Physics 2016-05-04 Israel Ramirez , Brenno Carlini Vallilo

We present the model of anisotropic universe with string fluid as source of matter within the framework of scalar-tensor theory of gravitation. Exact solution of field equations are obtained by applying Berman's law of variation of Hubble's…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Anil Kumar Yadav

We show that the pure spinor formalism proposed by Berkovits to covariantly quantize superstrings is a gauge fixed, twisted version of the complexified n=2 superembedding formulation of the superstring. This provides the Berkovits approach…

High Energy Physics - Theory · Physics 2008-11-26 Marco Matone , Luca Mazzucato , Ichiro Oda , Dmitri Sorokin , Mario Tonin

We introduce the concept of pseudotwistor (with particular cases called twistor and braided twistor) for an algebra $(A, \mu, u)$ in a monoidal category, as a morphism $T:A\otimes A\to A\otimes A$ satisfying a list of axioms ensuring that…

Quantum Algebra · Mathematics 2010-03-15 Javier Lopez Pena , Florin Panaite , Freddy Van Oystaeyen

Classical BRST invariance in the pure spinor formalism for the open superstring is shown to imply the supersymmetric Born-Infeld equations of motion for the background fields. These equations are obtained by requiring that the left and…

High Energy Physics - Theory · Physics 2011-07-19 Nathan Berkovits , Vladimir Pershin

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…

High Energy Physics - Theory · Physics 2009-11-07 Nathan Berkovits , Osvaldo Chandia

The algebra of spacetime supersymmetry generators in the RNS formalism for the superstring closes only up to a picture-changing operation. After adding non-minimal variables and working in the "large" Hilbert space, the algebra closes…

High Energy Physics - Theory · Physics 2021-11-03 Nathan Berkovits

In a general superstring vacuum configuration, the `internal' space (sector) varies in spacetime. When this variation is non-trivial only in two space-like dimensions, the vacuum contains static cosmic strings with finite energy per unit…

High Energy Physics - Theory · Physics 2015-06-26 Paul S. Green , Tristan Hubsch

The 26 dimensional bosonic string, first suggested by Nambu and Goto, is reduced to a four dimensional superstring by using two species of 6 and 5 Majorana fermions as proposed by Deo. These two species of fermions differ in their…

High Energy Physics - Theory · Physics 2010-04-21 B. B. Deo , P. K. Jena

As previously shown, the special relativistic dynamical equation of the Lorentz force type can be regarded as a consequence of a succession of space-time dependent infinitesimal Lorentz boosts and rotations. This insight indicate that the…

Mathematical Physics · Physics 2011-06-08 J. Buitrago , S. Hajjawi

Recent developments in string inspired models of inflation suggest that D-strings are formed at the end of inflation. Within the supergravity model of D-strings there are 2(n-1) chiral fermion zero modes for a D-string of winding n. Using…

High Energy Physics - Theory · Physics 2008-11-26 Ph. Brax , C. van de Bruck , A. C. Davis , Stephen C. Davis

We construct the manifestly Lorentz-invariant twistorial formulation of N=1 D=4 superparticle with tensorial central charges which describes massive and massless cases in a uniform manner. The tensorial central charges are realized in terms…

High Energy Physics - Theory · Physics 2014-11-18 S. Fedoruk , V. G. Zima

We consider supersymmetry algebras in arbitrary spacetime dimension and signature. Minimal and maximal superalgebras are given for single and extended supersymmetry. It is seen that the supersymmetric extensions are uniquely determined by…

High Energy Physics - Theory · Physics 2017-08-23 M. A. Lledo , V. S. Varadarajan