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We present a reformulation of the background field method for Yang-Mills type theories, based on using a superalgebra of generators of BRST and background field transformations. The new approach enables one to implement and consistently use…

High Energy Physics - Theory · Physics 2019-09-11 Breno L. Giacchini , Peter M. Lavrov , Ilya L. Shapiro

We study deformation of N=4 super Yang-Mills theory from type IIB superstrings with D3-branes in the constant R-R background. We compute disk amplitudes with one graviphoton vertex operator and investigate the zero-slope limit of the…

High Energy Physics - Theory · Physics 2010-10-27 Katsushi Ito , Yoshishige Kobayashi , Shin Sasaki

We study a class of near-BPS operators for a complex 2-parameter family of N=1 superconformal Yang-Mills theories that can be obtained by a Leigh-Strassler deformation of N=4 SYM theory. We identify these operators in the large N and large…

High Energy Physics - Theory · Physics 2009-11-07 Vasilis Niarchos , Nikolaos Prezas

In this paper a multiparticle generalization of linearized ten-dimensional super Yang--Mills superfields is proposed. Their equations of motions are shown to take the same form as in the single-particle case, supplemented by contact terms.…

High Energy Physics - Theory · Physics 2014-08-07 Carlos R. Mafra , Oliver Schlotterer

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

We compute the one-loop beta function for the Type II superstring using the pure spinor formalism in a generic supergravity background. It is known that the classical pure spinor BRST symmetry puts the background fields on-shell. In this…

High Energy Physics - Theory · Physics 2010-10-27 Oscar A. Bedoya , Osvaldo Chandia

We present vertex operators for ambitwistor strings around generic Yang-Mills, gravity and NS-NS backgrounds. The requirement that vertex operators lie in the BRST cohomology of the worldsheet theory enforces the appropriate linear…

High Energy Physics - Theory · Physics 2019-02-20 Tim Adamo , Eduardo Casali , Stefan Nekovar

The action for classical and consequently quantum N=1, D=4, supersymmetric Yang-Mills theories is proven to be written as a BRST exact term. In order to show this, the space of fields in the theory must be enlarged to include an extrafield…

High Energy Physics - Theory · Physics 2008-08-14 A. Aidaoui , M. Tahiri

We study the coupling of the non-minimal ghost fields of the pure spinor superstring in general curved backgrounds. The coupling is found solving the consistent relations from the nilpotency of the non-minimal BRST charge.

High Energy Physics - Theory · Physics 2015-06-23 Osvaldo Chandia , Brenno Carlini Vallilo

In this paper the pure spinor formalism is used to obtain a compact expression for the superstring N-point disk amplitude. The color ordered string amplitude is given by a sum over (N-3)! super Yang-Mills subamplitudes multiplied by…

High Energy Physics - Theory · Physics 2011-06-15 Carlos R. Mafra , Oliver Schlotterer , Stephan Stieberger

We consider the pure spinor sigma model in an arbitrary curved background. The use of Hamiltonian formalism allows for a uniform description of the worldsheet fields where matter and ghosts enter the action on the same footing. This…

High Energy Physics - Theory · Physics 2019-06-14 Dennis Zavaleta

We study non planar corrections to the spectrum of operators in the ${\mathcal N}=2$ supersymmetric Yang Mills theory which are dual to string states in the maximally supersymmetric pp-wave background with a {\em compact} light-cone…

High Energy Physics - Theory · Physics 2008-11-26 G. De Risi , G. Grignani , M. Orselli , G. W. Semenoff

We show that in the background field method (BFM) quantization of Yang-Mills theory the dependence of the vertex functional on the background field is controlled by a canonical transformation w.r.t. the Batalin-Vilkovisky bracket, naturally…

High Energy Physics - Theory · Physics 2015-06-03 Andrea Quadri

We replace our earlier condition that physical states of the superstring have non-negative grading by the requirement that they are analytic in a new real commuting constant t which we associate with the central charge of the underlying…

High Energy Physics - Theory · Physics 2014-11-18 P. A. Grassi , G. Policastro , P. van Nieuwenhuizen

We review the background field method for three-dimensional Yang-Mills and Chern-Simons models in N=2 superspace. Superfield proper time (heat kernel) techniques are developed and exact expressions of heat kernels for constant backgrounds…

High Energy Physics - Theory · Physics 2015-06-05 I. L. Buchbinder , N. G. Pletnev , I. B. Samsonov

A Batalin-Vilkovisky action for D=6, N=1 super-Yang--Mills theory, including coupling to hypermultiplets, is given. The formalism involves pure spinor superfields. The geometric properties of the D=6, N=1 pure spinors (which differ from…

High Energy Physics - Theory · Physics 2018-06-13 Martin Cederwall

Correlation functions in perturbative N=4 supersymmetric Yang-Mills theory are examined in the Berenstein-Maldacena-Nastase (BMN) limit. We demonstrate that non-extremal four-point functions of chiral primary fields are ill-defined in that…

High Energy Physics - Theory · Physics 2011-03-23 N. Beisert , C. Kristjansen , J. Plefka , G. W. Semenoff , M. Staudacher

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 simple BRST-closed expression for the color-ordered super-Yang-Mills 5-point amplitude at tree-level is proposed in pure spinor superspace and shown to be BRST-equivalent to the field theory limit of the open superstring 5-pt amplitude.…

High Energy Physics - Theory · Physics 2010-11-26 Carlos R. Mafra

We present the Green-Schwarz $\s\-$model coupled to the $N=1$ {\it {supersymmetric}} Yang-Mills and supergravity in a four-dimensional space-time with the indefinite signature $(+,+,-,-)$. We first confirm the $\k\-$invariance of the…

High Energy Physics - Theory · Physics 2012-08-27 H. Nishino , S. J. Gates, , S. V. Ketov