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As part of program to quantize superstrings in AdS_5 x S^5 background in light cone approach we find the explicit form of the corresponding Green-Schwarz action in fermionic light-cone kappa-symmetry gauge. The resulting action is quadratic…

High Energy Physics - Theory · Physics 2009-09-17 R. R. Metsaev , A. A. Tseytlin

The pure spinor heterotic string in a generic super Yang-Mills and supergravity background is considered. We determine the one-loop BRST anomaly at the cohomological level. We prove that it can be absorbed by consistent corrections of the…

High Energy Physics - Theory · Physics 2009-04-30 Osvaldo Chandia , Mario Tonin

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

The sigma model action described in this paper differs in four important features from the usual sigma model action for the four-dimensional Green-Schwarz heterotic superstring in a massless background. Firstly, the action is constructed on…

High Energy Physics - Theory · Physics 2011-07-19 Nathan Berkovits

The pure spinor formalism for the superstring has the advantage over the more conventional Ramond-Neveu-Schwarz formalism of being manifestly spacetime supersymmetric, which simplifies the computation of multiparticle and multiloop…

High Energy Physics - Theory · Physics 2025-03-06 Nathan Berkovits , Carlos R. Mafra

We use the S-matrix bootstrap to carve out the space of unitary, crossing symmetric and supersymmetric graviton scattering amplitudes in ten dimensions. We focus on the leading Wilson coefficient $\alpha$ controlling the leading correction…

High Energy Physics - Theory · Physics 2021-08-25 Andrea Guerrieri , Joao Penedones , Pedro Vieira

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 derive the complete covariant action for the type IIA superstring in a simple D=10 background which represents a 7-brane with a magnetic Ramond-Ramond vector field (and is U-dual to the Kaluza-Klein Melvin solution). This curved…

High Energy Physics - Theory · Physics 2009-10-31 J. Russo , A. A. Tseytlin

We discuss a quantum deformation of the Green-Schwarz superstring on flat space, arising as a contraction limit of the corresponding deformation of AdS_5 x S^5. This contraction limit turns out to be equivalent to a previously studied limit…

High Energy Physics - Theory · Physics 2016-01-26 Anna Pachol , Stijn J. van Tongeren

A supersymmetric string model in the D=11 superspace maximally extended by antisymmetric tensor bosonic coordinates, $\Sigma^{(528|32)}$, is proposed. It possesses 30 $\kappa$-symmetries and 32 target space supersymmetries. The usual…

High Energy Physics - Theory · Physics 2009-11-10 I. A. Bandos , J. A. de Azcarraga , M. Picon , O. Varela

We study the origins of the five ten-dimensional ``matrix superstring'' theories, supplementing old results with new ones, and find that they all fit into a unified framework. In all cases the matrix definition of the string in the limit of…

High Energy Physics - Theory · Physics 2009-10-31 Clifford V. Johnson

The Lagrangian formulation of the D=4 bosonic string and superstring in terms of the (super)twistors is considered. The (super)twistor form of the equations of motion is derived and the kappa-symmetry transformation for the supertwistors is…

High Energy Physics - Theory · Physics 2015-06-26 D. V. Uvarov

We derive from a general formulation of pure spinor string theory on type IIA backgrounds the specific form of the action for the AdS_4 x P^3 background. We provide a complete geometrical characterization of the structure of the superfields…

High Energy Physics - Theory · Physics 2011-09-21 Riccardo D'Auria , Pietro Fre' , Pietro Antonio Grassi , Mario Trigiante

The Green-Schwarz superstring action in a general type IIA or IIB supergravity background is derived up to fourth order in the Grassmann-odd coordinates theta. This is done by solving the superspace Bianchi identities order by order in…

High Energy Physics - Theory · Physics 2013-05-16 Linus Wulff

We review peculiar features of type IIA string theory compactified on AdS(4) x CP(3) superspace, in particular, the structure of the Green-Schwarz action, issues with fixing its kappa-symmetry, classical integrability and the string…

High Energy Physics - Theory · Physics 2015-05-27 Dmitri Sorokin , Linus Wulff

A manifestly super-Poincar\'e covariant formalism for the superstring has recently been constructed using a pure spinor variable. Unlike the covariant Green-Schwarz formalism, this new formalism is easily quantized with a BRST operator and…

High Energy Physics - Theory · Physics 2009-10-31 Nathan Berkovits

In a previous work, we have constructed a reparametrization invariant worldsheet action from which one can derive the super-Poincare covariant pure spinor formalism for the superstring at the fully quantum level. The main idea was the…

High Energy Physics - Theory · Physics 2009-11-11 Yuri Aisaka , Yoichi Kazama

The self-dual superstring has been described previously in a Neveu-Schwarz-Ramond formulation with local N=2 or 4 world-sheet supersymmetry. We present a Green-Schwarz-type formulation, with manifest spacetime supersymmetry.

High Energy Physics - Theory · Physics 2009-10-22 W. Siegel

A covariant action for closed D=11 superstring with local $\kappa$-symmetry and global supersymmetry transformations obeying the algebra $\{Q_\alpha,Q_\beta\}=C\Gamma^{\mu\nu}P_\mu n_\nu$ is suggested. Physical sector variables of the model…

High Energy Physics - Theory · Physics 2008-02-03 A. A. Deriglazov

We consider $D$-dimensional amplitudes in $R^2$ gravities (conformal gravity in $D=4$) and in the recently introduced $(DF)^2$ gauge theory, from the perspective of the CHY formulae and ambitwistor string theory. These theories are related…

High Energy Physics - Theory · Physics 2017-11-21 Thales Azevedo , Oluf Tang Engelund