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By an explicit construction, it is shown that the geometry of the SU(3) pion multiplet with respect to the group manifold SU_L(3) x SU_R(3) maybe deformed to admit a second pseudoscalar multiplet that is analogous to the Z_0 in unified…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Lubna Rana

We present the first example of an interacting Carroll supersymmetric field theory with both temporal and spatial derivatives, belonging to the Galileon class, where the non-linear field equation remains second-order in derivative. To…

High Energy Physics - Theory · Physics 2025-04-21 Utku Zorba , Ilayda Bulunur , Oguzhan Kasikci , Mehmet Ozkan , Yi Pang , Mustafa Salih Zog

String theory, specifically type-II superstring theory, can be formulated in any ten-dimensional signature. To facilitate the study of supergravity and superstring theories in this setting, we present a uniform construction of supersymmetry…

High Energy Physics - Theory · Physics 2021-11-10 Louis Gall , Thomas Mohaupt

In four spacetime dimensions there exist two off-shell formulations for the massless multiplet of superspin $(s+\frac 12)$, where $s=2,3, \dots$. These supersymmetric higher spin gauge theories, known as longitudinal and transverse, are…

High Energy Physics - Theory · Physics 2018-04-23 Jessica Hutomo , Sergei M. Kuzenko

The recent discovery of a spin-0 Brout-Englert-Higgs boson leads to further enquire about other fundamental scalars. Supersymmetric theories involve, in relation with the electroweak breaking, five such scalars at least, two charged and…

High Energy Physics - Phenomenology · Physics 2015-12-18 Pierre Fayet

The vacuum overlap formalism is extended to describe the supersymmetric multiplet of a Weyl fermion, a complex scalar boson and an auxiliary field in the case without interaction, based on the fact that supersymmetry can be maintained upto…

High Energy Physics - Lattice · Physics 2016-08-25 Tatsumi Aoyama , Yoshio Kikukawa

Using 4D, N=1 superfield techniques, a discussion of the 6D sigma-model possessing simple supersymmetry is given. Two such approaches are described. Foremost it is shown that the simplest and most transparent description arises by use of a…

High Energy Physics - Theory · Physics 2012-08-27 S. J. Gates, , S. Penati , G. Tartaglino-Mazzucchelli

We consider supersymmetry in five dimensions, where the fermionic parameters are a 2-form under SL(5). Supermultiplets are investigated using the pure spinor superfield formalism, and are found to be closely related to infinite-dimensional…

Representation Theory · Mathematics 2021-12-22 Martin Cederwall

In the Wess-Zumino gauge, supersymmetry transformations become non-linear and are usually incorporated together with BRS transformations in the form of Slavnov-Taylor identities, such that they appear at first sight to be even non-local.…

High Energy Physics - Theory · Physics 2016-02-17 Christian Rupp , Rainer Scharf , Klaus Sibold

Models of 4D $\mathcal{N}=1$ supergravity coupled to chiral multiplets with vanishing or positive scalar potential have been denoted as no-scale. Of particular interest in the context of string theory are models which additionally possess a…

High Energy Physics - Theory · Physics 2016-01-27 David Ciupke , Lucila Zarate

The Supersymmetric Dual Sigma Model (SDSM) is a local field theory introduced to be nonlocally equivalent to the Supersymmetric Chiral nonlinear sigma-Model (SCM), this dual equivalence being proven by explicit canonical transformation in…

High Energy Physics - Theory · Physics 2009-10-02 Thomas Curtright , Tsuneo Uematsu , Cosmas Zachos

We propose a description of %manifestly supersymmetric continuous spin representations in $4D,\mathcal{N}=1$ Minkowski superspace at the level of equations of motions. The usual continuous spin wave function is promoted to a chiral or a…

High Energy Physics - Theory · Physics 2019-05-22 I. L. Buchbinder , S. James Gates , K. Koutrolikos

Spinor description for the curvatures of $D=5$ Yang-Mills, Rarita-Schwinger and gravitational fields is elaborated. Restrictions imposed on the curvature spinors by the dynamical equations and Bianchi identities are analyzed. In the absence…

High Energy Physics - Theory · Physics 2016-07-19 D. V. Uvarov

In 4-D heterotic superstrings, the dilaton and antisymmetric tensor fields belong to a linear N=1 supersymmetric multiplet L. We study the lagrangian describing the coupling of one linear multiplet to chiral and gauge multiplets in global…

High Energy Physics - Theory · Physics 2009-10-28 J. -P. Derendinger , F. Quevedo , M. Quiros

A new way of supersymmetry breaking involving a dynamical parameter is introduced. It is independent of particle phenomenology and gauge groups. The only requirement is that Lorentz invariance be valid strictly infinitesimally (i. e.…

High Energy Physics - Theory · Physics 2007-05-23 Alexander Golubev

The coset Sp(2,R)/U(1) is parametrized by two real scalar fields. We generalize the formalism of auxiliary tensor (bispinor) fields in U(1) self-dual nonlinear models of abelian gauge fields to the case of Sp(2,R) self-duality. In this new…

High Energy Physics - Theory · Physics 2014-12-19 Evgeny A. Ivanov , Olaf Lechtenfeld , Boris M. Zupnik

A graphical representation of supersymmetry is presented. It clearly expresses the chiral flow appearing in SUSY quantities, by representing spinors by {\it directed lines} (arrows). The chiral suffixes are expressed by the directions (up,…

High Energy Physics - Theory · Physics 2007-05-23 Shoichi Ichinose

We study the scalar and pseudoscalar sector in a five-dimenional model describing chiral symmetry breaking. We calculate the scalar and pseudoscalar two-point correlator, the mass spectrum and interactions. We also obtain the scalar and…

High Energy Physics - Phenomenology · Physics 2009-11-11 Leandro Da Rold , Alex Pomarol

It is frequently useful to construct dual descriptions of theories containing antisymmetric tensor fields by introducing a new potential whose curl gives the dual field strength, thereby interchanging field equations with Bianchi…

High Energy Physics - Theory · Physics 2009-09-15 John H. Schwarz , Ashoke Sen

We consider the supersymmetry (SUSY) transformations in the chiral Lagrangian for $N = 1$ supergravity (SUGRA) with the complex tetrad following the method used in the usual $N = 1$ SUGRA, and present the explicit form of the SUSY…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. Tsuda , T. Shirafuji