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At an elementary level, we present some non-perturbative aspects of non-abelian gauge theories in four dimensional space-time. Some rigorous results have been obtained in the framework of supersymmetric theories, and a very rich physics…

High Energy Physics - Phenomenology · Physics 2007-05-23 Frank Ferrari

A gauge theory of the Lorentz group with a mass-dimension one gauge field coupling to matter of any spin is developed. As a completely new feature the "Vierbein" assuring local gauge invariance enters not as an independent dynamical field,…

General Relativity and Quantum Cosmology · Physics 2019-03-05 C. Wiesendanger

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

Locally supersymmetric systems in odd dimensions whose Lagrangians are Chern-Simons forms for supersymmetric extensions of anti-de Sitter gravity are discussed. The construction is illustrated for D=7 and 11. In seven dimensions the theory…

High Energy Physics - Theory · Physics 2009-12-30 Ricardo Troncoso , Jorge Zanelli

Contrary to the conventional view point of quantization that breaks the gauge symmetry, a gauge invariant formulation of quantum electrodynamics is proposed. Instead of fixing the gauge, some frame is chosen to yield the locally invariant…

High Energy Physics - Theory · Physics 2007-05-23 Taro Kashiwa , Yasushi Takahashi

We consider the problem of creating locally supersymmetric theories in signature (10,2). The most natural algebraic starting point is the F-algebra, which is the de Sitter-type (10,2) extension of the super-Poincare algebra. We derive the…

High Energy Physics - Theory · Physics 2007-05-23 Stephen Hewson

We show that a large class of Euclidean extended supersymmetric lattice gauge theories constructed in [hep-lat/0302017 - hep-lat/0503039] can be regarded as compact formulations by using the polar decomposition of the complex link fields.…

High Energy Physics - Lattice · Physics 2009-11-11 Mithat Unsal

Within the superfield approach, we discuss two-dimensional noncommutative super-QED. Its all-order finiteness is shown explicitly.

High Energy Physics - Theory · Physics 2015-06-03 M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We develop off-shell formulations for ${\cal N}=1$ and ${\cal N}=2$ anti-de Sitter supergravity theories in three spacetime dimensions that contain gauge two-forms in the auxiliary field sector. These formulations are shown to allow…

High Energy Physics - Theory · Physics 2018-01-03 Evgeny I. Buchbinder , Jessica Hutomo , Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

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

I attempt to analyse the next-to-leading-order non-holomorphic contribution to the Wilsonian low-energy effective action in the four-dimensional N=2 gauge theories with matter, from the manifestly N=2 supersymmeric point of view, by using…

High Energy Physics - Theory · Physics 2016-08-25 Sergei V. Ketov

The "Newtonian" or non-relativistic decomposition of Einstein's gravitational field is useful in the post-Newtonian approximation. We obtain the full non-quadratic Einstein-Hilbert action in terms of these fields as well as the harmonic…

High Energy Physics - Theory · Physics 2012-11-08 Barak Kol , Michael Smolkin

The harmonic action functional allows a natural generalisation to semi-Riemannian supergeometry, referred to as superharmonic action, which resembles the supersymmetric sigma models studied in high energy physics. We show that Killing…

Mathematical Physics · Physics 2015-02-24 Josua Groeger

We present a supersymmetric version of Dirac-Born-Infeld (DBI) theory in noncommutative space-time, both for Abelian and non-Abelian gauge groups. We show, using the superfield formalism, that the definition of a certain ordering with…

High Energy Physics - Theory · Physics 2009-08-13 N. Grandi , R. L. Pakman , F. A. Schaposnik

Assuming locality, Lorentz invariance and parity conservation we obtain a set of differential equations governing the 3-point interactions of massless bosons, which in turn determines the polynomial ring of these amplitudes. We derive all…

High Energy Physics - Theory · Physics 2019-01-23 Zhengdi Sun , Hui Xu , Yeuk-Kwan E. Cheung

We determine the equations which govern the gauge symmetries of worldsheets with local supersymmetry of arbitrary rank $(N,N')$, and their possible anomalies. Both classical and ghost conformally invariant multiplets of the left or right…

High Energy Physics - Theory · Physics 2009-10-30 Laurent Baulieu , Nobuyoshi Ohta

We complete the construction of a gauge-invariant action for NS-NS superstring field theory in the large Hilbert space begun in arXiv:1305.3893 by giving a closed-form expression for the action and nonlinear gauge transformations. The…

High Energy Physics - Theory · Physics 2018-07-17 Hiroaki Matsunaga

The dynamical breaking of gauge symmetry in the supersymmetric quantum electrodynamics in three-dimensional spacetime is studied at two-loop approximation. At this level, the effective superpotential is evaluated in a supersymmetric phase.…

High Energy Physics - Theory · Physics 2009-01-21 A. C. Lehum

In this work we have constructed the n=4 extended local conformal time supersymmetry for the Friedmann-Robertson-Walker (FRW) cosmological models. This is based on the superfield construction of the action, which is invariant under wordline…

High Energy Physics - Theory · Physics 2011-07-28 A. Pashnev , J. J. Rosales , V. I. Tkach , M. Tsulaia

The fundamental action of superon-graviton model(SGM) for space-time and matter is written down explicitly in terms of the fields of the graviton and superons by using the affine and the spin connection formalisms, alternatively. Some…

High Energy Physics - Theory · Physics 2015-06-26 Kazunari Shima