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A general formalism to construct and improve supercurrents and source or anomaly superfields in two-derivative N=1 supersymmetric theories is presented. It includes arbitrary gauge and chiral superfields and a linear superfield coupled to…

High Energy Physics - Theory · Physics 2017-01-11 Jean-Pierre Derendinger

The one-loop effective action for the scalar field part of a non-Abelian gauge theory based on a general gauge group of the form $G\times U(1)$, where the gauge group $G$ is arbitrary, is calculated. A complex scalar field, both Abelian and…

High Energy Physics - Theory · Physics 2019-06-07 David J. Toms

We generalize to topologically non-trivial gauge configurations the description of the Einstein-Yang-Mills system in terms of a noncommutative manifold, as was done previously by Chamseddine and Connes. Starting with an algebra bundle and a…

Mathematical Physics · Physics 2011-03-28 Jord Boeijink , Walter D. van Suijlekom

In these lectures we discuss the supersymmetry algebra and its irreducible representations. We construct the theories of rigid supersymmetry and gave their superspace formulations. The perturbative quantum properties of the extended…

High Energy Physics - Theory · Physics 2007-05-23 P. C. West

We present the full calculation of the divergent one-loop contribution to the effective boson Lagrangian for supergravity, including the Yang-Mills sector and the helicity-odd operators that arise from integration over fermion fields. The…

High Energy Physics - Theory · Physics 2016-08-24 Mary K. Gaillard , Vidyut Jain , Kamran Saririan

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

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

Adding a topological theta term to the action of $\mathcal{N}{=}\,1$ $D{=}4$ super Yang-Mills theory modifies its Nicolai map. For the BPS value of the theta angle a chiral version of the map emerges, which allows for a considerable…

High Energy Physics - Theory · Physics 2023-01-24 Olaf Lechtenfeld , Maximilian Rupprecht

The action for the D=10 type II Dirichlet super-p-branes, which has been obtained recently, is reconstructed in a more geometrical form involving Lorentz harmonic variables. This new (Lorentz-harmonic) formulation possesses kappa-symmetry…

High Energy Physics - Theory · Physics 2009-10-30 Igor Bandos , Dmitri Sorokin , Mario Tonin

We consider N=4 supersymmetric Yang-Mills theory formulated in terms of N=2 superfields in harmonic superspace. Using the background field method we define manifestly gauge invariant and N=2 supersymmetric effective action depending on N=2…

High Energy Physics - Theory · Physics 2015-06-26 I. L. Buchbinder

A celebrated realization of the holographic principle posits an approximate duality between the $(0+1)$-dimensional quantum mechanical SYK model and two-dimensional Jackiw-Teitelboim gravity, mediated by the Schwarzian action as an…

High Energy Physics - Theory · Physics 2025-06-26 Alexander Altland , Dmitry Bagrets , Nele Callebaut , Konstantin Weisenberger

In this article we derive the full interacting effective actions for supersymmetric D-branes in arbitrary bosonic type II supergravity backgrounds. The actions are presented in terms of component fields up to second order in fermions. As…

High Energy Physics - Theory · Physics 2014-11-18 Donald Marolf , Luca Martucci , Pedro J. Silva

We show that the recently found covariant formulation for chiral $p$--forms in $2(p+1)$ dimensions with $p$ even, can be naturally extended to supersymmetric theories. We present the general method for writing covariant actions for chiral…

High Energy Physics - Theory · Physics 2009-10-30 G. Dall'Agata , K. Lechner , M. Tonin

In this talk the gauge symmetry for Wilsonian flows in pure Yang-Mills theories is discussed. The background field formalism is used for the construction of a gauge invariant effective action. The symmetries of the effective action under…

High Energy Physics - Theory · Physics 2009-11-07 F. Freire , D. F. Litim , J. M. Pawlowski

The origin of non-renormalization theorems in field theories with global supersymmetry can be traced to the fact that supersymmetric actions can be viewed as the highest components of respective supermultiplets. Supersymmetric interactions…

High Energy Physics - Theory · Physics 2011-07-19 K. Ulker

Based on the old results of Cho, Soh, Park and Yoon, it is shown how higher m + n dimensional pure gravitational actions restricted to AdS_m times S^n backgrounds admit a holographic reduction to a lower m-dimensional Yang-Mills-like gauge…

High Energy Physics - Theory · Physics 2010-12-17 Carlos Castro

In this article we establish the notion of classical Yangian symmetry for planar N=4 supersymmetric Yang-Mills theory and for related planar gauge theories. After revisiting Yangian invariance for the equations of motion, we describe how…

High Energy Physics - Theory · Physics 2018-08-15 Niklas Beisert , Aleksander Garus , Matteo Rosso

We study a problem of systematical evaluation of the quantum corrections for general 4D supersymmetric K\"ahler sigma models with chiral and antichiral superpotentials. Using manifestly reparametrization covariant techniques (the…

High Energy Physics - Theory · Physics 2008-11-26 A. T. Banin , I. L. Buchbinder , N. G. Pletnev

We consider N=1, d=4 vacua of heterotic theories in the large radius limit in which alpha' << 1. We construct a real differential operator $\mathcal{D}= D+\bar{D}$ on an extension bundle $(Q, \mathcal{D})$ with underlying topology…

High Energy Physics - Theory · Physics 2024-02-29 Jock McOrist , Sebastien Picard , Eirik Eik Svanes

We consider the off-shell formulation of the 5D, $ {\cal N}$=1 super Yang-Mills and super Chern-Simons theories in harmonic superspace. Using such a formulation we develop a manifestly supersymmetric and gauge invariant approach to…

High Energy Physics - Theory · Physics 2016-01-20 I. L. Buchbinder , N. G. Pletnev
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