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We study vertex operators for super Yang-Mills and multi D-branes in covariant form using Green-Schwarz formalism. We introduce the contact terms naturally and prove space-time supersymmetry and gauge invariance. The nonlinear realization…

High Energy Physics - Theory · Physics 2009-10-30 K. Hamada

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

Vertex operator approach is a powerful method to study exactly solvable models. We review recent progress of vertex operator approach to semi-infinite spin chain. (1) The first progress is a generalization of boundary condition. We study…

Exactly Solvable and Integrable Systems · Physics 2019-02-13 Takeo Kojima

An explicit operator mapping in the form of a similarity transformation is constructed between the RNS formalism and an extension of the pure spinor formalism (to be called EPS formalism) recently proposed by the present authors. Due to the…

High Energy Physics - Theory · Physics 2009-11-10 Yuri Aisaka , Yoichi Kazama

We present a prescription for computing tree-level scattering amplitudes in 10D super-Yang-Mills (SYM) theory using the pure spinor worldline formalism. The pure spinor formalism has proven to be a powerful framework for studying…

High Energy Physics - Theory · Physics 2025-12-11 Max Guillen , Marcelo dos Santos , Eggon Viana

We compute partition functions describing multiplicities and charges of massless and first massive string states of pure-spinor superstrings in 3,4,6,10 dimensions. At the massless level we find a spin-one gauge multiplet of minimal…

High Energy Physics - Theory · Physics 2008-11-26 P. A. Grassi , J. F. Morales Morera

We present a method for introducing and analysing higher-derivative deformations of maximally supersymmetric field theories. Such terms are built in the pure spinor superfield framework, using a set of operators representing physical…

High Energy Physics - Theory · Physics 2015-05-30 Martin Cederwall , Anna Karlsson

We calculate the scaling dimensions of operators with large global charge and spin in 2+1 dimensional conformal field theories. By the state-operator correspondence, these operators correspond to superfluids with vortices and can be…

High Energy Physics - Theory · Physics 2018-02-19 Gabriel Cuomo , Anton de la Fuente , Alexander Monin , David Pirtskhalava , Riccardo Rattazzi

We introduce a manifestly little group covariant on-shell superspace for massive particles in four dimensions using the massive spinor helicity formalism. This enables us to construct massive on-shell superfields and fully utilize on-shell…

High Energy Physics - Theory · Physics 2020-01-08 Aidan Herderschee , Seth Koren , Timothy Trott

The N = 1 superfield formalism in four-dimensions is well formulated and understood, yet there remain unsolved problems. In this thesis, superfield actions for free massless and massive higher spin superfield theories are formulated in four…

High Energy Physics - Theory · Physics 2007-05-23 J. Phillips

We discuss the relation between unintegrated and integrated vertex operators in string worldsheet theory, in the context of BV formalism. In particular, we clarify the origin of the Fradkin-Tseytlin term. We first consider the case of…

High Energy Physics - Theory · Physics 2019-01-31 Henrique Flores , Andrei Mikhailov

We consider the 2-point function of string vertex operators representing string state with large spin in AdS_5. We compute this correlator in the semiclassical approximation and show that it has the expected (on the basis of state-operator…

High Energy Physics - Theory · Physics 2010-08-24 E. I. Buchbinder , A. A. Tseytlin

We present a vertex operator algebra which is an extension of the level $k$ vertex operator algebra for the $\hat{sl}_2$ conformal field theory. We construct monomial basis of its irreducible representations.

Quantum Algebra · Mathematics 2007-05-23 Boris Feigin , Tetsuji Miwa

This is Part I of a series of papers constructing intertwining operator superalgebras and vertex tensor categories associated to the superconformal minimal models and other related models. In this paper, we construct the intertwining…

Quantum Algebra · Mathematics 2007-05-23 Yi-Zhi Huang , Antun Milas

The open- and closed-string three- and four-point one-loop amplitudes involving massless states and one first-level massive state are computed in pure spinor superspace. For the open string, we show that their one-loop correlators can be…

High Energy Physics - Theory · Physics 2025-08-14 Carlos R. Mafra

We introduce a first order description of linearized non-minimal ($n=-1$) supergravity in superspace, using the unconstrained prepotential superfield instead of the conventionally constrained super one forms. In this description, after…

High Energy Physics - Theory · Physics 2021-10-04 I. L. Buchbinder , S. James Gates , K. Koutrolikos

We analyze the properties of the non-minimal pure spinor formalism. We show that Siegel gauge on massless vertex operators implies the primary field constraint and the level-matching condition in closed string theory by reconstructing the…

High Energy Physics - Theory · Physics 2009-05-29 Pietro Antonio Grassi , Pierre Vanhove

We construct supersymmetric irregular vertex operators of arbitrary rank, appearing in the colliding limit of primary fields. We find that the structure of the supersymmetric irregular vertices differs significantly from the bosonic case:…

High Energy Physics - Theory · Physics 2016-11-02 Dimitri Polyakov , Chaiho Rim

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

The formalism of quantum field theory in operator form, based on the anti self-adjoint operators of the imaginary coordinate and momentum and the self-adjoint operators of the real coordinate, momentum, energy and time, is used in…

General Physics · Physics 2024-06-05 Slobodan Prvanovic