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We study the $N=1$ supersymmetric $G_2$ gauge theories with $N_f$ flavors of quarks in the fundamental vector representation. We find dynamically generated superpotentials, smooth quantum moduli space, quantum moduli space with additional…

High Energy Physics - Theory · Physics 2015-06-26 Igor Pesando

A supersymmetric approach to string quantum cosmology based on the non-compact, global duality symmetries of the effective action is developed. An N=2 supersymmetric action is derived whose bosonic component is the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James E. Lidsey , J. Maharana

We study N=1 supersymmetric U(N) gauge theories coupled to an adjoint chiral field with superpotential. We consider the full supersymmetric moduli space of these theories obtained by adding all allowed chiral operators. These include…

High Energy Physics - Theory · Physics 2009-08-28 Mina Aganagic , Christopher Beem , Jihye Seo , Cumrun Vafa

We discuss the renormalization properties of noncommutative supersymmetric theories. We also discuss how the gauge field plays a role similar to gravity in noncommutative theories.

High Energy Physics - Theory · Physics 2009-11-10 Victor O. Rivelles

We define supersymmetric spin networks, which provide a complete set of gauge invariant states for supergravity and supersymmetric gauge theories. The particular case of Osp(1/2) is studied in detail and applied to the non-perturbative…

High Energy Physics - Theory · Physics 2009-10-31 Yi Ling , Lee Smolin

We develop a superfield formulation of gauge and matter field theories on a two-dimensional sphere with rigid N=(2,2) as well as extended supersymmetry. The construction is based on a supercoset SU(2|1)/[U(1) x U(1)] containing $S^2$ as the…

High Energy Physics - Theory · Physics 2015-06-22 I. B. Samsonov , D. Sorokin

In this paper we study 3-form gauge fields in four-dimensional N=1 supersymmetric theories. We give the sigma model action together with its Poincare dual action for massless and massive 3-forms. The resulting target space geometries are…

High Energy Physics - Theory · Physics 2015-06-12 Kai Groh , Jan Louis , Jason Sommerfeld

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

Equivalence in physics is discussed on the basis of experimental data accompanied by experimental errors. It is pointed out that the introduction of the equivalence being consistent with the mathematical definition is possible only in…

Mathematical Physics · Physics 2016-09-07 Tsunehiro Kobayashi

We study Euclidean lattice formulations of non-gauge supersymmetric models with up to four supercharges in various dimensions. We formulate the conditions under which the interacting lattice theory can exactly preserve one or more nilpotent…

High Energy Physics - Theory · Physics 2008-11-26 Joel Giedt , Erich Poppitz

We present a new formulation for N=1, D=10 supergravity in superspace, in presence of a Lorentz Chern-Simons-form. This formulation entails the following properties: it furnishes a solution of the Bianchi identities that is algebraically…

High Energy Physics - Theory · Physics 2014-11-18 Kurt Lechner , Mario Tonin

This paper revisits the nonlinear realization of spontaneously broken N=1 supersymmetry. It is shown that the constrained superfield formalism can be reinterpreted in the language of standard realization of nonlinear supersymmetry via a new…

High Energy Physics - Theory · Physics 2015-05-18 Hui Luo , Mingxing Luo , Liucheng Wang

Auxiliary field methods in D=2 (or 3), N=2 supersymmetric (SUSY) nonlinear sigma models (NLSMs) are studied. For these models auxiliary fields as Lagrange multipliers belong to a vector or a chiral superfield, which gives a Kahler quotient…

High Energy Physics - Theory · Physics 2010-04-05 Muneto Nitta

We show that several well-known one-dimensional quantum systems possess a hidden nonlocal supersymmetry. The simplest example is the open XXZ spin chain with \Delta=-1/2. We use the supersymmetry to place lower bounds on the ground state…

Strongly Correlated Electrons · Physics 2009-11-10 Xiao Yang , Paul Fendley

We analyze the superfield equations of the 4-dimensional N=2 and N=4 SYM-theories using light-cone gauge conditions and the harmonic-superspace approach. The harmonic superfield equations of motion are drastically simplified in this gauge,…

High Energy Physics - Theory · Physics 2007-05-23 B. M. Zupnik

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

Worldsheet supersymmetric string action is written in duality invariant form for flat as well as curved backgrounds. First the action in flat backgrounds is written by introducing auxiliary fields. We also give the superfield form of this…

High Energy Physics - Theory · Physics 2011-07-19 Abbas Ali

It is proposed by Chen et. al. to represent the gauge fields in theories with local symmetries as a sum of "physical" and "pure gauge" fields which to be treated separately. Here we show that after quantization this representation leads to…

High Energy Physics - Theory · Physics 2015-02-27 M. N. Stoilov

Induced supersymmetry representations on composite operators are studied. In superspace the ensuing transformation rules (trivially) lead to an effective superfield. On the other hand, an induced representation must exist for non-linear…

High Energy Physics - Theory · Physics 2007-05-23 L. Bergamin , P. Minkowski

The low energy effective action including gauge field degrees of freedom on a non-BPS p=2 brane embedded in a N=1, D=4 target superspace is obtained through the method of nonlinear realizations of the associated super-Poincare symmetries.…

High Energy Physics - Theory · Physics 2008-11-26 T. E. Clark , M. Nitta , T. ter Veldhuis