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Discovery Projects - Grant ID: DP160103633

Discovery Projects - Grant ID: DP160103633
ARC | Discovery Projects
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  • Complex three-form supergravity and membranes

    Kuzenko, Sergei M.; Tartaglino-Mazzucchelli, Gabriele (2017)
    Projects: ARC | Discovery Projects - Grant ID: DP160103633 (DP160103633)
    There exist two variants of the old minimal formulation for N $$ \mathcal{N} $$ = 1 supergravity in four dimensions, in which one or each of the two auxiliary scalars is replaced by the field strength of a gauge three-form. These theories are known as three-form supergravity and complex three-form supergravity, respectively. For each of them, we present a super-Weyl invariant coupling of supergravity to the supermembrane and prove kappa-invariance of the resulting action. In the case of three...

    Off-shell massive N=1 supermultiplets in three dimensions

    Sergei M. Kuzenko; Mirian Tsulaia (2017)
    Projects: ARC | Discovery Projects - Grant ID: DP160103633 (DP160103633)
    This paper is mainly concerned with the construction of new off-shell higher spin N=1 supermultiplets in three spacetime dimensions. We elaborate on the gauge prepotentials and linearised super-Cotton tensors for higher spin N=1 superconformal geometry and propose compensating superfields required to formulate off-shell massless higher spin supermultiplets. The corresponding gauge-invariant actions are worked out explicitly using an auxiliary oscillator realisation. We construct, for the firs...

    Correlation functions of Sp(2 n ) invariant higher-spin systems

    Skvortsov, Evgeny; Sorokin, Dmitri; Tsulaia, Mirian (2016)
    Projects: ARC | Discovery Projects - Grant ID: DP160103633 (DP160103633)
    We study the general structure of correlation functions in an Sp(2 n )-invariant formulation of systems of an infinite number of higher-spin fields. For n = 4 , 8 and 16 these systems comprise the conformal higher-spin fields in space-time dimensions D = 4 , 6 and 10, respectively, while when n = 2, one deals with conventional D = 3 conformal field theories of scalars and spinors. We show that for n > 2 the Sp(2 n ) symmetry and current conservation makes the 3-point correlators of two (rank-...

    Fermionic higher-spin triplets in AdS

    Agugliaro, Alessandro; Azzurli, Francesco; Sorokin, Dmitri (2016)
    Projects: ARC | Discovery Projects - Grant ID: DP160103633 (DP160103633)
    We derive a metric-like Lagrangian and equations of motion, in AdS space, for multiplets of fermionic fields with spin ranged from 12 to s , from their frame-like formulation.

    Three-forms in Supergravity and Flux Compactifications

    Farakos, Fotis; Lanza, Stefano; Martucci, Luca; Sorokin, Dmitri (2017)
    Projects: ARC | Discovery Projects - Grant ID: DP160103633 (DP160103633)
    We present a duality procedure that relates conventional four-dimensional matter-coupled N=1 supergravities to dual formulations in which auxiliary fields are replaced by field strengths of gauge three-forms. The duality promotes specific coupling constants appearing in the superpotential to vacuum expectation values of the field strengths. We then apply this general duality to type IIA string compactifications on Calabi–Yau orientifolds with RR fluxes. This gives a new supersymmetric formula...

    The Goldstino Brane, the Constrained Superfields and Matter in N=1 Supergravity

    Bandos, Igor; Heller, Markus; Kuzenko, Sergei M.; Martucci, Luca; Sorokin, Dmitri (2016)
    Projects: ARC | Discovery Projects - Grant ID: DP160103633 (DP160103633)
    We show that different (brane and constrained superfield) descriptions for the Volkov-Akulov goldstino coupled to N = 1 $$ \mathcal{N}=1 $$ , D = 4 supergravity with matter produce similar wide classes of models with spontaneously broken local supersymmetry and discuss the relation between the different formulations. As with the formulations with irreducible constrained superfields, the geometric goldstino brane approach has the advantage of being manifestly off-shell supersymmetric without t...

    Higher spin super-Cotton tensors and generalisations of the linear–chiral duality in three dimensions

    In three spacetime dimensions, (super)conformal geometry is controlled by the (super) Cotton tensor. We present a new duality transformation for N-extended supersymmetric theories formulated in terms of the linearised super-Cotton tensor or its higher spin extensions for the cases N=2, 1, 0. In the N=2 case, this transformation is a generalisation of the linear-chiral duality, which is known to provide a dual description in terms of chiral superfields for general models of self-interacting N=...

    Three-form multiplet and supersymmetry breaking

    Recently, a nilpotent real scalar superfield $V$ was introduced in arXiv:1702.02423 as a model for the Goldstino. It contains only two independent component fields, the Goldstino and the auxiliary $D$-field. Here we first show that $V$ can equivalently be realised as a constrained three-form superfield. We demonstrate that every irreducible Goldstino superfield (of which the Goldstino is the only independent component field) can be realised as a descendant of $V$ which is invariant under loca...
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