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Related papers: Nonlinear Realisations of $w_{1+\infty}$

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We extend the coset space formulation of the one-field realization of $w_{1+\infty}$ to include more fields as the coset parameters. This can be done either by choosing a smaller stability subalgebra in the nonlinear realization of…

High Energy Physics - Theory · Physics 2010-04-06 Stefano Bellucci , Evgenyi Ivanov , Sergey Krivonos

The action of Weyl scale invariant p=2 brane which breaks the target super Weyl scale symmetry in the N=1, D=4 superspace down to the lower dimensional Weyl symmetry W(1,2) is derived by the approach of nonlinear realization. The dual form…

High Energy Physics - Theory · Physics 2008-11-26 Lu-Xin Liu

The pseudo-conformal scenario is an alternative to inflation in which the early universe is described by an approximate conformal field theory on flat, Minkowski space. Some fields acquire a time-dependent expectation value, which breaks…

High Energy Physics - Theory · Physics 2022-01-12 Kurt Hinterbichler , Austin Joyce , Justin Khoury

Due to the incompatibility of the nonlinear realization of superconformal symmetry and dilatation symmetry with the dilaton as the compensator field, in the present paper it shows an alternative mechanism of spontaneous breaking the N=2…

High Energy Physics - Theory · Physics 2009-08-05 Lu-Xin Liu

We have applied the method of dualisation to construct the coset realisation of the bosonic sector of the N=2, D=6 supergravity which is coupled to a tensor multiplet. The bosonic field equations are regained through the Cartan-Maurer…

High Energy Physics - Theory · Physics 2009-01-30 Nejat Tevfik Yilmaz

An infinite number of free field realizations of the universal nonlinear $\hat{W}_{\infty}^{(N)}$ ($\hat{W}_{1+\infty}^{(N)}$) algebras, which are identical to the KP Hamiltonian structures, are obtained in terms of $p$ plus $q$ scalars of…

High Energy Physics - Theory · Physics 2015-06-26 Feng Yu

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

We deduce the $sl_{3}$ Toda realization of classical $W_3$ symmetry on two scalar fields in a geometric way, proceeding from a nonlinear realization of some associate higher-spin symmetry $W_{3}^{\infty}$. The Toda equations are recognized…

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

The bosonic parts of D3-brane actions in AdS(5) backgrounds are known to have symmetries which are field-dependent extensions of conformal transformations of the worldvolume coordinates. Using the coset space SU(2,2|1)/SO(4,1), we apply the…

High Energy Physics - Theory · Physics 2008-11-26 S. M. Kuzenko , I. N. McArthur

Nonlinear realizations superfield techniques, pertinent to the description of partial breaking of global N=2 supersymmetry in a flat d=4 super Minkowski background, are generalized to the case of partially broken N=1 AdS5 supersymmetry…

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

The formalism of nonlinear realizations is used to construct a theory with $1/2$ partial breaking of global supersymmetry with the $N=(1,0)$, $d=6$ abelian vector multiplet as a Goldstone superfield. Much like the case of the $N=2$, $d=4$…

High Energy Physics - Theory · Physics 2019-10-02 N. Kozyrev

We perform the non-linear realisation or the coset formulation of the pure N=4, D=5 supergravity. We derive the Lie superalgebra which parameterizes a coset map whose induced Cartan-Maurer form produces the bosonic field equations of the…

High Energy Physics - Theory · Physics 2008-11-26 N. T. Yilmaz

Nonlinear realizations describing the spontaneous breakown of supersymmetry and R symmetry are constructed using the Goldstino and R axion fields. The associated R current, supersymmetry current and energy-momentum tensor are shown to be…

High Energy Physics - Theory · Physics 2008-11-26 T. E. Clark , S. T. Love

A Goldstino field in the nonlinear realization of supersymmetry is constructed from an appropriate chiral super-multiplet of the linear theory, in general O'Raifeataigh-like models. The linear theories can thus be reformulated into their…

High Energy Physics - Theory · Physics 2010-03-02 Hui Luo , Mingxing Luo , Liucheng Wang

We elaborate on a new N=2, d=3 supermultiplet (double-vector multiplet) with a non-trivial off-shell realization of the central charge. Its bosonic sector comprises two abelian gauge vector fields forming an SO(2) vector. We present a…

High Energy Physics - Theory · Physics 2009-10-31 E. Ivanov , S. Krivonos , O. Lechtenfeld

The method of nonlinear realizations is used to clarify some conceptual and technical issues related to the Schwarzian mechanics. It is shown that the Schwarzian derivative arises naturally, if one applies the method to SL(2,R) times R…

Mathematical Physics · Physics 2019-06-26 Anton Galajinsky

It is shown that in the presence of a nonvanishing cosmological constant, Strominger's infinite-dimensional $\mathrm{w_{1+\infty}}$ algebra of soft graviton symmetries is modified in a simple way. The deformed algebra contains a subalgebra…

High Energy Physics - Theory · Physics 2023-12-12 Tomasz R. Taylor , Bin Zhu

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 study the partial breaking of ${\cal N}=2$ global supersymmetry, using a novel formalism that allows for the off-shell nonlinear realization of the broken supersymmetry, extending previous results scattered in the literature. We focus on…

High Energy Physics - Theory · Physics 2019-05-07 Ignatios Antoniadis , Jean-Pierre Derendinger , Chrysoula Markou

In this paper, we propose a novel way to construct off-shell actions of $d$-dimensional Carrollian field theories by considering the null-reduction of the Bargmann invariant actions in $d+1$ dimensions. This is based on the fact that…

High Energy Physics - Theory · Physics 2023-09-11 Bin Chen , Reiko Liu , Haowei Sun , Yu-fan Zheng
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