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After a short discussion of the intimate relation between the generalized statistics and supersymmetry, we review the recent results on the nonlinear supersymmetry obtained in the context of the quantum anomaly problem and of the universal…

高能物理 - 理论 · 物理学 2008-11-26 Sergey M. Klishevich , Mikhail S. Plyushchay

All the supersymmetric configurations of pure, ungauged, N=4,d=4 supergravity are classified in a formalism that keeps manifest the S and T dualities of the theory. We also find simple equations that need to be satisfied by the…

高能物理 - 理论 · 物理学 2010-04-05 Jorge Bellorin , Tomas Ortin

An analysis of a $SU(2)_L \times SU(2)_R$ invariant, supersymmetric effective theory is given. The resulting leading and next to leading independent invariants are stated in terms of the underlying Killing vectors and K\"ahler potential.…

高能物理 - 唯象学 · 物理学 2015-06-25 M. A. Walker

This article, which is a review with substantial original material, is meant to offer a comprehensive description of the superfield representations of the BRST and anti-BRST algebras and their applications to some field-theoretic topics.…

高能物理 - 理论 · 物理学 2021-08-12 L. Bonora , R. P. Malik

We show in some lower-dimensional supergravity models that the holographic counterterms which are needed in the AdS/CFT correspondence to make the theory finite, coincide with the counterterms that are needed to make the action…

高能物理 - 理论 · 物理学 2009-12-22 Daniel Grumiller , Peter van Nieuwenhuizen

R-symmetries, which are needed for supersymmetry (SUSY) breaking in O'Raifeartaigh models, often lead to SUSY runaway directions trough a complexified R-transformation. Non-R symmetries also lead to runaway directions in a similar way. This…

高能物理 - 理论 · 物理学 2019-04-23 Zheng Sun , Xingyue Wei

We examine the problem of supersymmetry breaking in realistic superstring standard--like models which are constructed in the free fermionic formulation. We impose a supersymmetric vacuum at the Planck scale by requiring vanishing F and D…

高能物理 - 唯象学 · 物理学 2011-07-19 Alon E. Faraggi , Edi Halyo

In a completely systematic and geometric way, we derive maximal and half-maximal supersymmetric gauged double field theories in lower than ten dimensions. To this end, we apply a simple twisting ansatz to the $D=10$ ungauged maximal and…

高能物理 - 理论 · 物理学 2015-09-01 Wonyoung Cho , J. J. Fernández-Melgarejo , Imtak Jeon , Jeong-Hyuck Park

An overview of new 4d supersymmetric gauge theories with 2-form gauge potentials constructed by various authors during the past five years is given. The key role of three particular types of interaction vertices is emphasized. These…

高能物理 - 理论 · 物理学 2007-05-23 Friedemann Brandt

The notion of hidden symmetry algebra used in the context of exactly solvable systems is re-examined from the purely algebraic way, analyzing subspaces of commuting polynomials that generate finite-dimensional quadratic algebras. By…

数学物理 · 物理学 2021-10-01 Rutwig Campoamor-Stursberg , Ian Marquette

Global symmetries play an important role in classifying the spectrum of a gauge theory. In the context of the AdS/CFT duality, global baryon-like symmetries are specially interesting. In the gravity side, they correspond to vector fields in…

高能物理 - 理论 · 物理学 2011-03-23 Diego Rodriguez-Gomez

We review some of the recent work on the dynamics of four dimensional, supersymmetric gauge theories. The kinematics are largely determined by holomorphy and the dynamics are governed by duality. The results shed light on the phases of…

高能物理 - 理论 · 物理学 2009-10-28 K. Intriligator , N. Seiberg

We show how recent exact results in supersymmetric theories can be extended to models which include {\it explicit} soft supersymmetry breaking terms. We thus derive new exact results for non-supersymmetric models.

高能物理 - 理论 · 物理学 2009-10-28 Nick Evans , Stephen D. H. Hsu , Myckola Schwetz

We show that a quantum-mechanical N=2 supersymmetry is hidden in 4d mass spectrum of any gauge invariant theories with extra dimensions. The N=2 supercharges are explicitly constructed in terms of differential forms. The analysis can be…

高能物理 - 理论 · 物理学 2009-11-11 C. S. Lim , Tomoaki Nagasawa , Makoto Sakamoto , Hidenori Sonoda

We discuss the appearance of additional, hidden supersymmetries for simple 0+1 $Ad(G)$-invariant supersymmetric models and analyse some geometrical mechanisms that lead to them. It is shown that their existence depends crucially on the…

高能物理 - 理论 · 物理学 2009-11-07 J. A. de Azcárraga , J. M. Izquierdo , A. J. Macfarlane

We describe symmetry structure of a general singular theory (theory with constraints in the Hamiltonian formulation), and, in particular, we relate the structure of gauge transformations with the constraint structure. We show that any…

高能物理 - 理论 · 物理学 2007-05-23 D. M. Gitman , I. V. Tyutin

We address some conjectures and open problems in "analysis of symmetries" which include the study of non-commutative harmonic analysis and discontinuous groups for reductive homogeneous spaces beyond the classical framework: (1) discrete…

表示论 · 数学 2024-01-09 Toshiyuki Kobayashi

In this paper we study dynamical supersymmetry breaking in absence of gravity with the matter content of the minimal supersymmetric standard model. The hidden sector of the theory is a strongly coupled gauge theory, realized in terms of…

高能物理 - 理论 · 物理学 2010-11-11 F. Fucito , A. Lionetto , J. F. Morales , R. Richter

We analyze approaches to the partial or complete unification of gauge symmetries in theories with dynamical symmetry breaking. Several types of models are considered, including those that (i) involve sufficient unification to quantize…

高能物理 - 唯象学 · 物理学 2009-11-11 Neil D. Christensen , Robert Shrock

We prove that the prescription for construction of supersymmetric lattice gauge theories by orbifolding and deconstruction directly leads to Catterall's geometrical discretization scheme in general. These two prescriptions always give the…

高能物理 - 理论 · 物理学 2008-11-26 Poul H. Damgaard , So Matsuura