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The supersymmetric quantum mechanical model based on higher-derivative supercharge operators possessing unbroken supersymmetry and discrete energies below the vacuum state energy is described. As an example harmonic oscillator potential is…

Quantum Physics · Physics 2015-06-26 Boris F. Samsonov

Harmonic superspace can be used to construct higher derivative terms in N=2 supersymmetric effective actions despite the infinite redundancy in their description due to the infinite number of auxiliary fields. We are able to write down all…

High Energy Physics - Theory · Physics 2017-08-23 Philip C. Argyres , Adel M. Awad , Gregory A. Braun , F. Paul Esposito

It has been suggested that higher-derivative gravity theories coupled to a scalar field with shift symmetry may be an important candidate for a quantum gravity. We show that this class of gravity theories are renormalizable in D = 3 and 4…

High Energy Physics - Theory · Physics 2015-06-16 Kenji Muneyuki , Nobuyoshi Ohta

We consider the simplest nontrivial supersymmetric quantum mechanical system involving higher derivatives. We unravel the existence of additional bosonic and fermionic integrals of motion forming a nontrivial algebra. This allows one to…

Mathematical Physics · Physics 2008-11-26 Didier Robert , Andrei. V. Smilga

We develop geometric superspace settings to construct arbitrary higher derivative couplings (including R^n terms) in three-dimensional supergravity theories with N=1,2,3 by realising them as conformal supergravity coupled to certain…

High Energy Physics - Theory · Physics 2015-10-08 Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

We propose a type of non-anticommutative superspace, with the interesting property of relating to Lee-Wick type of higher derivatives theories, which are known for their interesting properties, and have lead to proposals of…

High Energy Physics - Theory · Physics 2014-12-22 M. Dias , A. F. Ferrari , C. A. Palechor , C. R. Senise

We show how spontaneous supersymmetry breaking in the vacuum state of higher-derivative supergravity is transmitted, as explicit soft supersymmetry-breaking terms, to the effective Lagrangian of the standard electroweak model. The general…

High Energy Physics - Theory · Physics 2009-10-30 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

In this work, we consider local and nonlocal higher-derivative generalizations of the super-Chern-Simons theory and four-dimensional SQED. In contrast to previous studies, the models studied here also have higher-derivative terms in the…

High Energy Physics - Theory · Physics 2020-05-27 F. S. Gama , J. R. Nascimento , A. Yu. Petrov

Starting with two supersymmetric dual theories, we imagine adding a chiral perturbation that breaks supersymmetry dynamically. At low energy we then get two theories with soft supersymmetry-breaking terms that are generated dynamically.…

High Energy Physics - Theory · Physics 2007-05-23 Yael Shadmi , Hsin-Chia Cheng

When global symmetries are spontaneously broken in supersymmetric vacua, there appear quasi-Nambu-Goldstone (NG) fermions as superpartners of NG bosons. In addition to these, there can appear quasi-NG bosons in general. The quasi-NG bosons…

High Energy Physics - Theory · Physics 2014-11-11 Muneto Nitta , Shin Sasaki

A discussion of the number of degrees of freedom, and their dynamical properties, in higher-derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

Some formal aspects of supersymmetry breaking are reviewed. The classic "requirements" for supersymmetry breaking include chiral matter, a dynamical superpotential, and a classical superpotential which completely lifts the moduli space.…

High Energy Physics - Theory · Physics 2007-05-23 Scott Thomas

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. It is shown that non-vanishing $(C_{mnpq})^{2}$ terms arise in N=1, D=4 superstring Lagrangians due…

High Energy Physics - Theory · Physics 2007-05-23 Burt A. Ovrut

We systematically construct ghost-free higher-derivative actions of Abelian vector supermultiplets in four-dimensional ${\cal N}=1$ global supersymmetric theories. After giving a simple example which illustrates that a naive introduction of…

High Energy Physics - Theory · Physics 2017-10-03 Toshiaki Fujimori , Muneto Nitta , Keisuke Ohashi , Yusuke Yamada , Ryo Yokokura

Using the off-shell formulation for ${\cal N}=2$ conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge…

High Energy Physics - Theory · Physics 2022-01-19 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

Gauged off-shell Maxwell-Einstein supergravity in six dimensions with N=(1,0) supersymmetry has a higher derivative extension afforded by a supersymmetrized Riemann squared term. This theory admits a supersymmetric Minkowski x S^2…

High Energy Physics - Theory · Physics 2012-11-16 Y. Pang , C. N. Pope , E. Sezgin

We reconsider the general question of how to characterize most efficiently the low-energy effective theory obtained by integrating out heavy modes in globally and locally supersymmetric theories. We consider theories with chiral and vector…

High Energy Physics - Theory · Physics 2009-07-22 Leonardo Brizi , Marta Gomez-Reino , Claudio A. Scrucca

We study the higher derivative chiral models with four supercharges and BPS states in these models. The off-shell Lagrangian generically includes higher powers of the auxiliary fields F which causes distinct on-shell branches associated…

High Energy Physics - Theory · Physics 2014-11-11 Muneto Nitta , Shin Sasaki

The conditions for fully supersymmetric backgrounds of general N=2 locally supersymmetric theories are derived based on the off-shell superconformal multiplet calculus. This enables the derivation of a non-renormalization theorem for a…

High Energy Physics - Theory · Physics 2015-06-18 Daniel Butter , Bernard de Wit , Ivano Lodato

We present the maximally supersymmetric three-dimensional gauged supergravities. Owing to the special properties of three dimensions -- especially the on-shell duality between vector and scalar fields, and the purely topological character…

High Energy Physics - Theory · Physics 2010-02-03 H. Nicolai , H. Samtleben