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D=4, N=4 super-Yang-Mills theory has an off-shell superspace formulation in terms of pure spinor superfields, which is directly inherited from the D=10 theory. That superspace, in particular the choice of pure spinor variables, is less…

High Energy Physics - Theory · Physics 2018-02-14 Martin Cederwall

We construct a supersymmetric version of instanton operators in five-dimensional Yang-Mills theories. This is possible by considering a five-dimensional generalization of the familiar four-dimensional topologically twisted theory, where the…

High Energy Physics - Theory · Physics 2015-01-21 Diego Rodriguez-Gomez , Johannes Schmude

We show that the physical degrees of freedom of the critical open string with N=2 superconformal symmetry on the worldsheet are described by a self-dual Yang-Mills field on a hyperspace parametrised by the coordinates of the target space…

High Energy Physics - Theory · Physics 2016-09-06 Chandrashekar Devchand , Olaf Lechtenfeld

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

Using pure spinors, the superstring is covariantly quantized. For the first time, massless vertex operators are constructed and scattering amplitudes are computed in a manifestly ten-dimensional super-Poincar\'e covariant manner.…

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

We derive a massive double copy construction within string theory. To this end, we use massive vectors of the open string spectrum that appear in compactifications to four dimensions and construct massive spin-2 tensors as closed string…

High Energy Physics - Theory · Physics 2023-09-25 Dieter Lust , Chrysoula Markou , Pouria Mazloumi , Stephan Stieberger

We introduce the supersymmetric version of YM-like theories with infinitely many spin fields in 4 dimension. The construction is carried out via the superfield method. The surprising feature of these models is that they describe in…

High Energy Physics - Theory · Physics 2020-12-18 Loriano Bonora , Stefano Giaccari

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

Four-dimensional super-twistors provide a compact covariant description of on-shell N=4 d=4 super-Yang-Mills. In this paper, ten-dimensional super-twistors are introduced which similarly provide a compact covariant description of on-shell…

High Energy Physics - Theory · Physics 2014-11-20 Nathan Berkovits

In the framework of the pure spinor approach of superstring theories, we describe the Y-formalism and use it to compute the picture raised b-field. At the end we discuss briefly the new, non-minimal formalism of Berkovits and the related…

High Energy Physics - Theory · Physics 2007-05-23 Ichiro Oda , Mario Tonin

A quantizable action has recently been proposed for the superstring in an AdS_5 x S^5 background with Ramond-Ramond flux. In this paper, we construct physical vertex operators corresponding to on-shell fluctuations around the AdS_5 x S^5…

High Energy Physics - Theory · Physics 2009-10-31 Nathan Berkovits , Osvaldo Chandia

The construction of creation operators of exact strings in eigenvectors of the eight vertex model at elliptic roots of unity of the crossing parameter which allow the generation of the complete set of degenerate eigenstates is based on the…

Statistical Mechanics · Physics 2015-05-20 Klaus Fabricius

We discuss the soft behaviour of open string amplitudes with gluons and massive states in any dimension. Notwithstanding non-minimal couplings of massive higher spin states to gluons, relying on OPE and factorization, we argue that the…

High Energy Physics - Theory · Physics 2015-10-28 Massimo Bianchi , Andrea L. Guerrieri

We solve the superspace Bianchi identities for ten-dimensional supersymmetric Yang-Mills theory without imposing any kind of constraints apart from the standard conventional one. In this way we obtain a set of algebraic conditions on…

High Energy Physics - Theory · Physics 2010-02-03 Martin Cederwall , Bengt E. W. Nilsson , Dimitrios Tsimpis

We derive the vertex operators that are expected to govern the emission of the massless d=11 supermultiplet from the supermembrane in the light cone gauge. We demonstrate that they form a representation of the supersymmetry algebra and…

High Energy Physics - Theory · Physics 2014-11-18 Arundhati Dasgupta , Hermann Nicolai , Jan Plefka

We construct analytic solutions of open superstring field theory for any exactly marginal deformation in any boundary superconformal field theory when properly renormalized operator products of the marginal operator are given. Our…

High Energy Physics - Theory · Physics 2009-11-18 Michael Kiermaier , Yuji Okawa

Linearized solutions of SUGRA equations of motion are described in the pure spinor formalism by vertex operators. Under supersymmetry transformations, they transform covariantly only up to BRST exact terms. We identify the cohomology class…

High Energy Physics - Theory · Physics 2024-06-11 Andrei Mikhailov

The twenty-one-vertex model, the spin $1$ analogue of the eight-vertex model is considered on the basis of free field representations of vertex operators in the $2\times 2$-fold fusion SOS model and vertex-face transformation. The tail…

Mathematical Physics · Physics 2015-12-02 Yas-Hiro Quano

Using the BRST approach to higher spin field theories we develop a generic technique for constructing the cubic interaction vertices for N=1 supersymmetric massless higher spin fields on four, six and ten dimensional flat backgrounds. Such…

High Energy Physics - Theory · Physics 2021-05-12 I. L. Buchbinder , V. A. Krykhtin , Mirian Tsulaia , Dorin Weissman

In this Thesis we study first- and second-quantized approaches describing $D=11$ supergravity using pure spinor variables. We introduce the so-called $D=11$ pure spinor superparticle through BRST cohomology arguments starting from the…

High Energy Physics - Theory · Physics 2020-06-12 Max Guillen