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We derive a manifestly MHV Lagrangian for the N=4 supersymmetric Yang-Mills theory in light-cone superspace. This is achieved by constructing a canonical redefinition which maps the N=4 superfield and its conjugate to a new pair of…

High Energy Physics - Theory · Physics 2020-02-26 Sudarshan Ananth , Stefano Kovacs , Sarthak Parikh

We exhibit the one-loop multi-gluon effective Lagrangian in any dimension for a field theory with a quasilocal background, using the background-field formalism. Specific results, including counter terms (up to 12 spacetime dimensions), have…

High Energy Physics - Theory · Physics 2008-11-26 E Rodulfo , R Delbourgo

We study two-dimensional celestial conformal field theory describing four-dimensional ${\cal N}=1$ supergravity/Yang-Mills systems and show that the underlying symmetry is a supersymmetric generalization of BMS symmetry. We construct…

High Energy Physics - Theory · Physics 2020-10-28 Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

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 study the collinear factorization of off-shell scattering amplitudes in maximally supersymmetric Yang-Mills (sYM) theory. These are constructed starting from six-dimensional N = (1,1) sYM, taking advantage of an available unconstrained…

High Energy Physics - Theory · Physics 2025-03-24 A. V. Belitsky

It is argued that soft-collinear effective theory for processes involving both soft and collinear partons, such as exclusive B-meson decays, should include a new mode in addition to soft and collinear fields. These "soft-collinear…

High Energy Physics - Phenomenology · Physics 2009-11-10 Thomas Becher , Richard J. Hill , Matthias Neubert

The paper is a brief review of the works devoted to problem of effective action in N=2 super Yang-Mills theories in harmonic superspace approach. The formulation of N=2 superfield models in harmonic superspace is discussed, background field…

High Energy Physics - Theory · Physics 2007-05-23 I. L. Buchbinder

We present an entirely new approach towards a realization of the supersymmetric Yang-Mills theory on the lattice. The action consists of the staggered fermion and the plaquette variables distributed in the Euclidean space with a particular…

High Energy Physics - Lattice · Physics 2009-11-07 Katsumi Itoh , Mitsuhiro Kato , Hideyuki Sawanaka , Hiroto So , Naoya Ukita

We present a Lagrangian formulation for the free superspin-3/2 massive 4D, N=1 superfield. The model is described by a dynamical real vector superfield and an auxiliary real scalar superfield. The corresponding multiplet contains spin-1,…

High Energy Physics - Theory · Physics 2012-08-27 I. L. Buchbinder , S. James Gates, , J. Phillips , W. D. Linch

For the spinning superparticle we construct the pull-back of the world-line path integral to super moduli space in the Hamiltonian formulation. We describe the underlying geometric decomposition of super moduli space. Algebraically, this…

High Energy Physics - Theory · Physics 2025-02-27 Carlo Alberto Cremonini , Ivo Sachs

We present an explicit formulation of supersymmetric Yang-Mills theories from $\D=$ 5 to 10 dimensions in the familiar $\N=1,\D=4$ superspace. This provides the rules for globally supersymmetric model building with extra dimensions and in…

High Energy Physics - Theory · Physics 2009-11-07 Nima Arkani-Hamed , Thomas Gregoire , Jay Wacker

We give an explicit component Lagrangian construction of massive higher spin on-shell $N=1$ supermultiplets in four-dimensional Anti-de Sitter space $AdS_4$. We use a frame-like gauge invariant description of massive higher spin bosonic and…

High Energy Physics - Theory · Physics 2019-05-01 I. L. Buchbinder , M. V. Khabarov , T. V. Snegirev , Yu. M. Zinoviev

The low energy effective Lagrangian for N= 2 SU(2) supersymmetric Yang-Mills theory coupled to N_F<4 massless matter fields is derived from the BPS mass formula using asymptotic freedom and assuming that the number of strong coupling…

High Energy Physics - Theory · Physics 2009-10-30 M. Magro , L. O'Raifeartaigh , I. Sachs

We develop classical globally supersymmetric theories. As much as possible, we treat various dimensions and various amounts of supersymmetry in a uniform manner. We discuss theories both in components and in superspace. Throughout we…

High Energy Physics - Theory · Physics 2007-05-23 Pierre Deligne , Daniel S. Freed

We give a new description of N=1 super Yang-Mills theory in curved superspace. It is based on the induced geometry approach to a curved superspace in which it is viewed as a surface embedded into C(4|2). The complex structure on C(4|2)…

High Energy Physics - Theory · Physics 2009-10-30 A. Konechny , A. Schwarz

We construct an N=1 supersymmetric Lagrangian model for the massive superspin-1 superfield. The model is described by a dynamical spinor superfield and an auxiliary chiral scalar superfield. On-shell this model leads to a spin-1/2, spin-3/2…

High Energy Physics - Theory · Physics 2009-11-07 I. L. Buchbinder , S. James Gates , W. D. Linch , J. Phillips

We quantize super Yang-Mills action in $\mathcal{N}=3$ harmonic superspace using "Fermi-Feynman" gauge and also develop the background field formalism. This leads to simpler propagators and Feynman rules that are useful in performing…

High Energy Physics - Theory · Physics 2020-09-28 Dharmesh Jain , Chia-Yi Ju , Warren Siegel

We describe how a soft supersymmetry breaking Lagrangian arises naturally in the context of almost-commutative geometries that fall within the classification of those having a supersymmetric particle content as well as a supersymmetric…

High Energy Physics - Theory · Physics 2014-09-23 Wim Beenakker , Walter D. van Suijlekom , Thijs van den Broek

In these introductory lectures, we review the theoretical tools used in constructing supersymmetric field theories and their application to physical models. We first introduce the technology of two-component spinors, which is convenient for…

High Energy Physics - Phenomenology · Physics 2022-05-20 Howard E. Haber , Laurel Stephenson Haskins

It is shown that there exists an on-shell light cone gauge where half of the fermionic components of the super vector potential vanish, so that part of the superspace flatness conditions becomes linear. After reduction to $(1+1)$ space-time…

High Energy Physics - Theory · Physics 2009-10-31 Jean-Loup Gervais , Mikhail Saveliev