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The derivation of the nilpotent (anti-)BRST symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been an long-standing problem in the framework of superfield approach to BRST formalism. These nilpotent…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

Chiral superfields have been used, and extensively, almost ever since supersymmetry has been discovered. Complex linear superfields afford an alternate representation of matter, but are widely misbelieved to be 'physically equivalent' to…

High Energy Physics - Theory · Physics 2010-04-06 Tristan Hubsch

We argue that for a large class of N=1 supersymmetric gauge theories the effective superpotential as a function of the glueball chiral superfield is exactly given by a summation of planar diagrams of the same gauge theory. This perturbative…

High Energy Physics - Theory · Physics 2007-05-23 Robbert Dijkgraaf , Cumrun Vafa

We analyze theories in which a supersymmetric sector is coupled to a supersymmetry-breaking sector described by a non-linear realization. We show how to consistently couple N=1 supersymmetric matter to non-supersymmetric matter in such a…

High Energy Physics - Theory · Physics 2008-11-26 Matthias Klein

We focus on a nonlinear supersymmetry (NL SUSY) in curved spacetime introduced in the superon-graviton model (SGM) towards a SUSY composite unified model based on SO(10) super-Poincar\'e symmetry, and we consider for $N = 1$ SUSY a…

High Energy Physics - Theory · Physics 2010-04-05 Kazunari Shima , Motomu Tsuda

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 propose a lattice field theory formulation which overcomes some fundamental difficulties in realizing exact supersymmetry on the lattice. The Leibniz rule for the difference operator can be recovered by defining a new product on the…

High Energy Physics - Lattice · Physics 2018-04-18 Alessandro D'Adda , Noboru Kawamoto , Jun Saito

When supersymmetry is broken in multiple sectors via independent dynamics, the theory furnishes a corresponding multiplicity of "goldstini" degrees of freedom which may play a substantial role in collider phenomenology and cosmology. In…

High Energy Physics - Phenomenology · Physics 2011-09-01 Clifford Cheung , Francesco D'Eramo , Jesse Thaler

Starting from a type II superstring model defined on $R^{2,2}\times CY_6$ in a linear graviphoton background, we derive a coordinate dependent $C$-deformed ${\cal N}=1$, $d=2+2$ superspace. The chiral fermionic coordinates $\theta$ satisfy…

High Energy Physics - Theory · Physics 2009-11-11 L. G. Aldrovandi , F. A. Schaposnik , G. A. Silva

In the framework of the augmented superfield formalism, the local, covariant, continuous and off-shell (as well as on-shell) nilpotent (anti-)BRST symmetry transformations are derived for a $(0 + 1)$-dimensional free scalar relativistic…

High Energy Physics - Theory · Physics 2010-11-05 R. P. Malik

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

In the framework of superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism, the derivation of the (anti-)BRST nilpotent symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been a long-standing…

High Energy Physics - Theory · Physics 2010-11-05 R. P. Malik

We discuss models where N=1 global supersymmetry is spontaneously broken, at the classical level, in the presence of non-anomalous gauge interactions. We take such models as effective theories, valid up to some suitable scale and arising…

High Energy Physics - Phenomenology · Physics 2009-10-30 Andrea Brignole , Ferruccio Feruglio , Fabio Zwirner

We describe the spontaneous partial breaking of $N=1 D=10$ supersymmetry to $N=(1,0) d=6$ and its dimensionally-reduced versions in the framework of the nonlinear realizations method. The basic Goldstone superfield is $N=(1,0) d=6$…

High Energy Physics - Theory · Physics 2008-11-26 S. Bellucci , E. Ivanov , S. Krivonos

We construct a nonlinear version of the d=1 off-shell N=8 multiplet (4,8,4), proceeding from a nonlinear realization of the superconformal group OSp(4*|4) in the N=8, d=1 analytic bi-harmonic superspace. The new multiplet is described by a…

High Energy Physics - Theory · Physics 2008-11-26 Evgeny Ivanov

When four scalar fields with global Lorentz symmetry are coupled to gravity and take a vacuum expectation value breaking diffeomorphism invariance spontaneously, the graviton becomes massive. This model is supersymmetrized by considering…

High Energy Physics - Theory · Physics 2013-08-09 Ola Malaeb

We employ the non-linear realization techniques to relate the N=1 chiral, and the N=2 vector multiplets to the Goldstone spin 1/2 superfield arising from partial supersymmetry breaking of N=2 and N=3 respectively. In both cases, we obtain a…

High Energy Physics - Theory · Physics 2008-11-26 A. De Castro , L. Quevedo , A. Restuccia

We exploit the beauty and strength of the symmetry invariant restrictions on the (anti-)chiral superfields to derive the Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST and (anti-)co-BRST symmetry transformations in the case of a two…

High Energy Physics - Theory · Physics 2017-04-07 N. Srinivas , T. Bhanja , R. P. Malik

We explain how a single scalar degree of freedom can be obtained from projecting out all the other components of a chiral superfield using simple operators in the microscopic theory. We use the Fayet-Iliopoulos model as an example of the…

High Energy Physics - Theory · Physics 2018-05-18 Karim Benakli , Yifan Chen

Starting from the Hamiltonian formulation of ${\cal N}{=}\,2$ supersymmetric Calogero models associated with the classical $A_n, B_n, C_n$ and $D_n$ series and their hyperbolic/trigonometric cousins, we provide their superspace description.…

High Energy Physics - Theory · Physics 2020-06-24 Sergey Krivonos , Olaf Lechtenfeld , Anton Sutulin
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