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The massless superfield content of four-dimensional compactifications of closed superstrings with extended (N=2, 3, or 4) supersymmetry is derived by multiplying two (N=0, 1, or 2) Yang-Mills multiplets. In some cases these superfields are…

High Energy Physics - Theory · Physics 2009-10-28 W. Siegel

We construct Lorentz invariant and gauge invariant 1PI effective action for closed and open superstrings and demonstrate that it satisfies the classical BV master equation. We also construct the quantum master action for this theory…

High Energy Physics - Theory · Physics 2019-12-04 Seyed Faroogh Moosavian , Ashoke Sen , Mritunjay Verma

We find classical open string solutions in the $AdS_5\times S^5/\Zop_2$ orientifold with angular momenta along the five-sphere. The energy of these solutions has an expansion in integral powers of $\lambda$ with sigma-model corrections…

High Energy Physics - Theory · Physics 2009-11-10 B. Stefanski

Using the pure spinor formalism, we compute the tree-level correlation functions for three strings, one closed and two open, in N=1 D=10 superspace. Expanding the superfields in components, the respective terms of the effective action for…

High Energy Physics - Theory · Physics 2009-02-23 Geova Alencar

We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in ${\cal N}=4$ Super Yang Mills gauge theory. These vertex algebras satisfy non-trivial duality relations inherited from S-duality of…

High Energy Physics - Theory · Physics 2018-09-21 Davide Gaiotto , Miroslav Rapčák

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

The N=1,d=10 superYang-Mills action is constructed in a twisted form, using SU(5)-invariant decomposition of spinors in 10 dimensions. The action and its off-shell closed twisted scalar supersymmetry operator Q derive from a Chern-Simons…

High Energy Physics - Theory · Physics 2011-03-21 Laurent Baulieu

The super Yang-Mills duals of open strings attached to maximal giant gravitons are studied in perturbation theory. It is shown that non-BPS baryonic excitations of the gauge theory can be studied within the paradigm of open quantum spin…

High Energy Physics - Theory · Physics 2009-11-11 Abhishek Agarwal

After giving some definitions for vertex operator SUPERalgebras and their modules, we construct an associative algebra corresponding to any vertex operator superalgebra, such that the representations of the vertex operator algebra are in…

High Energy Physics - Theory · Physics 2008-02-03 Victor G. Kac , Weiqiang Wang

In this thesis are presented two aplications of the sigma model for the superstring in the pure spinor formulation. The first aplication concerns the computation of the one-loop conformal invariance for the type II superstring, resulting in…

High Energy Physics - Theory · Physics 2008-08-14 Oscar A. Bedoya

We explicitly construct a (unique) Spin(9)xSU(2) singlet state, phi, involving only the fermionic degrees of freedom of the supersymmetric matrix-model corresponding to reduced 10-dimensional super Yang-Mills theory, resp. supermembranes in…

High Energy Physics - Theory · Physics 2011-03-02 Jens Hoppe , Douglas Lundholm , Maciej Trzetrzelewski

In physics literature about supersymmetry, many authors refer to "super Minkowski spaces". These spaces are affine supermanifolds with certain distinguished spin structures. In these notes, we make the notion of such spin structures precise…

High Energy Physics - Theory · Physics 2025-05-01 Johannes Moerland

We construct generating functions for operators dual to systems of giant gravitons with open strings attached. These operators have a bare dimension of order $N$ so that the usual methods used to solve the planar limit are not applicable.…

High Energy Physics - Theory · Physics 2023-02-08 Warren Carlson , Robert de Mello Koch , Minkyoo Kim

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

Ten dimensional supersymmetric Yang-Mills theory may be described, in the light-cone gauge, in terms of either a vector or spinor superfield satisfying certain projection conditions (type I or II). These have been presented in a $ SO(9,1) $…

High Energy Physics - Theory · Physics 2007-05-23 J. L. Vazquez-Bello

We clarify the relation between the vertex operators in type IIB matrix model and superstring. Green-Schwarz light-cone closed superstring theory is obtained from IIB matrix model on two dimensional noncommutative backgrounds. Superstring…

High Energy Physics - Theory · Physics 2009-04-01 Yoshihisa Kitazawa , Satoshi Nagaoka

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

We carry out a systematic study of primary operators in the conformal field theory of a free Weyl fermion. Using SO(4,2) characters we develop counting formulas for primaries constructed using a fixed number of fermion fields. By…

High Energy Physics - Theory · Physics 2018-05-09 Robert de Mello Koch , Phumudzo Rabambi , Hendrik J. R. Van Zyl

In this paper, the structure of the parafermion vertex operator algebra associated to an integrable highest weight module for simple affine Lie superalgebra $osp(1|2n)$ is studied. Particularly, we determine the generators for this algebra.

Quantum Algebra · Mathematics 2021-08-21 Cuipo Jiang , Qing Wang

We explain some details of the construction of composite operators in N=4 SYM that we have elaborated earlier in the context of Lorentz harmonic chiral (LHC) superspace. We give a step-by-step elementary derivation and show that the result…

High Energy Physics - Theory · Physics 2017-05-24 Dmitry Chicherin , Emery Sokatchev