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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…

High Energy Physics - Theory · Physics 2015-06-08 Thales Azevedo , Nathan Berkovits

In this work we investigate the classical constraints imposed on the supergravity and super Yang-Mills backgrounds in the $\alpha'\to 0$ limit of the heterotic string using the pure spinor formalism. Guided by the recently observed…

High Energy Physics - Theory · Physics 2016-11-15 Thales Azevedo , Renann Lipinski Jusinskas

Inspired by recent work arXiv:2301.11227 on massive ambitwistor strings this paper examines the spectrum of such models using oscillator expansions. The spectrum depends heavily on the constant related to the normal ordering of the zero…

High Energy Physics - Theory · Physics 2023-05-16 Christian Kunz

We introduce a spinorial version of the scattering equations, the \emph{polarized scattering equations}, that incorporates spinor polarization data. They lead to new formulae for tree-level scattering amplitudes in six dimensions that…

High Energy Physics - Theory · Physics 2019-03-27 Yvonne Geyer , Lionel Mason

We present an integrable deformation of the $AdS_{5}\times S^{5}$ pure spinor action based on homological perturbation theory. Its equations of motion, Lax connection and BRST symmetry are discussed. The resulting model describes a pure…

High Energy Physics - Theory · Physics 2019-02-20 Hector A. Benitez , Victor O. Rivelles

Recently N. Berkovits, motivated by the supertwistor description of ${\cal N}=4 D=4$ super Yang-Mills, considered the generalization of the ${\cal N}=1 D=4$ $\theta$-twistor construction to D=10 and applied it for a compact covariant…

High Energy Physics - Theory · Physics 2014-11-20 M. Chaichian , A. Tureanu , A. A. Zheltukhin

We present a new formula for all single trace tree amplitudes in four dimensional super Yang-Mills coupled to Einstein supergravity. Like the Cachazo-He-Yuan formula, our expression is supported on solutions of the scattering equations, but…

High Energy Physics - Theory · Physics 2016-01-27 Tim Adamo , Eduardo Casali , Kai A. Roehrig , David Skinner

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…

High Energy Physics - Theory · Physics 2009-03-26 Carlos R. Mafra

We study the multiparticle factorization properties of two worldsheet theories which--at tree-level--describe the scattering of massless particles in four dimensions: the Berkovits-Witten twistor-string for N=4 super-Yang-Mills coupled to…

High Energy Physics - Theory · Physics 2015-06-17 Tim Adamo

The simplicity and hidden symmetries of (Super) Yang-Mills and (Super)Gravity scattering amplitudes suggest the existence of a "weak-weak" dual formulation in which these structures are made manifest at the expense of manifest locality. We…

High Energy Physics - Theory · Physics 2015-05-13 Nima Arkani-Hamed , Freddy Cachazo , Clifford Cheung , Jared Kaplan

Scattering amplitudes computed by superstring perturbation theory are known to holomorphically split into chiral half integrands at fixed internal loop momentum. It is established by direct computation that upon reduction to the ordinary…

High Energy Physics - Theory · Physics 2021-10-26 Nikhil Kalyanapuram

Considered is the formulation for the superstring action in 6 and 10 dimensions involving supertwistor variables that appropriately generalize 4-dimensional Ferber supertwistors. Equations of motion and kappa-symmetry transformations in…

High Energy Physics - Theory · Physics 2008-11-26 D. V. Uvarov

We continue the study of the d=2,4,6 pure-spinor superstring models introduced in [1]. By explicitly solving the pure-spinor constraint we show that these theories have vanishing central charge and work out the (covariant) current algebra…

High Energy Physics - Theory · Physics 2009-11-11 Niclas Wyllard

Strominger and collaborators recently proposed that soft theorems for gauge and gravity amplitudes can be interpreted as Ward identities of a 2d CFT at null infinity. In this paper, we will consider a specific realization of this CFT known…

High Energy Physics - Theory · Physics 2015-07-01 Arthur E. Lipstein

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…

High Energy Physics - Theory · Physics 2009-11-11 Nathan Berkovits

This paper presents a worldsheet theory describing holomorphic maps to twistor space with N fermionic directions. The theory is anomaly free when N=8. Via the Penrose transform, the vertex operators correspond to an N=8 Einstein…

High Energy Physics - Theory · Physics 2013-01-08 David Skinner

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 introduce a bosonic ambitwistor string theory in AdS space. Even though the theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to derive a novel formula for correlation functions of boundary CFT…

High Energy Physics - Theory · Physics 2020-12-30 Lorenz Eberhardt , Shota Komatsu , Sebastian Mizera

In this paper we construct a $(2,2)$ dimensional string theory with manifest $N=1$ spacetime supersymmetry. We use Berkovits' approach of augmenting the spacetime supercoordinates by the conjugate momenta for the fermionic variables. The…

High Energy Physics - Theory · Physics 2007-05-23 Z. Khviengia , H. Lu , C. N. Pope , E. Sezgin , X. J. Wang , K. W. Xu

We present new and explicit formulae for the one-loop integrands of scattering amplitudes in non-supersymmetric gauge theory and gravity, valid for any number of particles. The results exhibit the colour-kinematics duality in gauge theory…

High Energy Physics - Theory · Physics 2018-04-04 Yvonne Geyer , Ricardo Monteiro