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We begin an investigation of supersymmetric theories based on exceptional groups. The flat directions are most easily parameterized using their correspondence with gauge invariant polynomials. Symmetries and holomorphy tightly constrain the…

High Energy Physics - Theory · Physics 2016-08-24 Steven B. Giddings , John M. Pierre

We study N=1 global and local supersymmetric theories with a continuous global U(1)_R symmetry. We discuss conditions for supersymmetry (SUSY) breaking and vacuum structures of R-symmetric SUSY models. Especially we find the conditions for…

High Energy Physics - Phenomenology · Physics 2009-04-26 Yuji Omura

We consider various symmetries present in the collinear effective theory and their implications. There are collinear, soft and ultrasoft gauge symmetries and we discuss transformation properties of a collinear quark and gauge fields under…

High Energy Physics - Phenomenology · Physics 2007-05-23 Junegone Chay , Chul Kim

A deep connection has been recently established between soft theorems and symmetries at null infinity in gravity and gauge theories, recasting the former as Ward identities of the latter. In particular, different orders (in the frequency of…

High Energy Physics - Theory · Physics 2017-05-11 Eduardo Conde , Pujian Mao

Effects of boundary conditions of fields for compactified space directions on the supersymmetric gauge theories are discussed. For general and possible boundary conditions the supersymmetry is explicitly broken to yield universal soft…

High Energy Physics - Theory · Physics 2014-11-18 K. Takenaga

We study various aspects of global symmetries in five-dimensional superconformal field theories. Whenever a supersymmetry-preserving relevant deformation is available, the infrared gauge theory description might exhibit a finite order mixed…

High Energy Physics - Theory · Physics 2024-12-16 Pietro Benetti Genolini , Luigi Tizzano

We investigate the perturbative dynamics of noncommutative topologically massive gauge theories with softly broken supersymmetry. The deformed dispersion relations induced by noncommutativity are derived and their implications on the…

High Energy Physics - Theory · Physics 2007-05-23 Nicola Caporaso , Luca Griguolo , Sara Pasquetti , Domenico Seminara

I give an introductory review of recent, fascinating developments in supersymmetric gauge theories. I explain pedagogically the miraculous properties of supersymmetric gauge dynamics allowing one to obtain exact solutions in many instances.…

High Energy Physics - Theory · Physics 2011-04-15 M. Shifman

The renormalization group equations(RGEs) of non-universal soft supersymmetric breaking terms with CP violating phases are analyzed in this paper. We obtain the analytic solutions of RGEs by directly solving the RGEs themselves. Compared…

High Energy Physics - Phenomenology · Physics 2008-11-26 Chao-Shang Huang , Liao Wei , Qi-Shu Yan , Shou-Hua Zhu

We consider the ultra-violet divergence structure of general noncommutative supersymmetric $U(N_c)$ gauge theories, and seek theories which are all-orders finite.

High Energy Physics - Theory · Physics 2008-11-26 I. Jack , D. R. T. Jones

A new class of models of dynamical supersymmetry breaking is proposed. The models are based on SU(N_C) gauge theories with N_F(<N_C) flavors of quarks and singlets. Dynamically generated superpotential exibits runaway behavior. By embedding…

High Energy Physics - Theory · Physics 2009-10-29 K. -I. Izawa , Fuminobu Takahashi , T. T. Yanagida , Kazuya Yonekura

We extend to all orders in perturbation theory a method to calculate supersymmetry-breaking effects by analytic continuation of the renormalization group into superspace. A central observation is that the renormalized gauge coupling can be…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. Arkani-Hamed , G. F. Giudice , M. A. Luty , R. Rattazzi

We propose a non-perturbative solution of N=2 supersymmetric gauge theory in five dimensions compactified on circle of a radius $R$. We consider the cases of the pure gauge theory as well as the theories with matter in the fundamental and…

High Energy Physics - Theory · Physics 2016-09-06 Nikita Nekrasov

We extend to larger unification groups an earlier study exploring the possibility of unification of gauge symmetries in theories with dynamical symmetry breaking. Based on our results, we comment on the outlook for models that seek to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ning Chen , Robert Shrock

We claim that if by a choice of the couplings the theory can be made conformally invariant (vanishing of the beta functions) it is automatically finite and vice versa. This is demonstrated by explicit example in supersymmetric gauge theory.…

High Energy Physics - Theory · Physics 2009-04-30 D. I. Kazakov , L. V. Bork

We analyze the soft supersymmetry breaking parameters obtained in grand unified theories after integrating out the heavy GUT-states. The superfield formalism greatly simplifies the calculations and allows us to derive the low-energy…

High Energy Physics - Phenomenology · Physics 2009-10-28 Alex Pomarol , Savas Dimopoulos

We show that the gamma_i-deformation, which was proposed as candidate gauge theory for a non-supersymmetric three-parameter deformation of the AdS/CFT correspondence, is not conformally invariant due to a running double-trace coupling - not…

High Energy Physics - Theory · Physics 2015-04-01 Jan Fokken , Christoph Sieg , Matthias Wilhelm

It is pointed out that every renormalizable supersymmetric field theory has a symmetry which is hidden in plain sight, but is usually broken by soft terms which obey supersymmetry. On the other hand, the terms which break supersymmetry…

High Energy Physics - Phenomenology · Physics 2023-11-21 Ernest Ma

We construct and discuss a 6D supersymmetric gauge theory involving four derivatives in the action. The theory involves a dimensionless coupling constant and is renormalizable. At the tree level, it enjoys N = (1,0) superconformal symmetry,…

High Energy Physics - Theory · Physics 2019-07-08 E. A. Ivanov , A. V. Smilga , B. M. Zupnik

Infrared divergences in QED and other theories with massless particles show that in such theories the $S$ matrix cannot be defined in the usual way. Typically, this is not viewed as a big problem since one is interested in cross sections,…

High Energy Physics - Theory · Physics 2017-03-14 Cesar Gomez , Mischa Panchenko