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Using the off-shell formulation for N-extended conformal supergravity in three dimensions, which has recently been presented in arXiv:1305.3132, we construct superspace actions for conformal supergravity theories with N<6. For each of the…

High Energy Physics - Theory · Physics 2013-10-16 Daniel Butter , Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

We consider the geometrical formulation in central charge superspace of the N=4 supergravity containing an antisymmetric tensor gauge field. The theory is on-shell, so clearly, the constraints used for the identification of the multiplet…

High Energy Physics - Theory · Physics 2009-11-07 Sebastien Gurrieri , Annamaria Kiss

We report on investigations of local (and non-local) charges in bosonic and supersymmetric principal chiral models in 1+1 dimensions. In the bosonic PCM there is a classically conserved local charge for each symmetric invariant tensor of…

High Energy Physics - Theory · Physics 2007-05-23 J. M. Evans , M. Hassan , N. J. MacKay , A. J. Mountain

We use the superconformal method to construct the full off-shell action of N=(1,0), D=6 supergravity, which has apart from the graviton and the gravitino, a 2-form gauge field, a dilaton and a symplectic Majorana spinor. We give detailed…

High Energy Physics - Theory · Physics 2013-05-31 Frederik Coomans , Antoine Van Proeyen

Conserved and commuting charges are investigated in both bosonic and supersymmetric classical chiral models, with and without Wess-Zumino terms. In the bosonic theories, there are conserved currents based on symmetric invariant tensors of…

High Energy Physics - Theory · Physics 2009-10-31 J. M. Evans , M. Hassan , N. J. MacKay , A. J. Mountain

We extend the differential form representation of N = (n,n) supersymmetric quantum mechanics to the superconformal case. We identify the superalgebras occurring for n = 1,2,4, give necessary and sufficient conditions for their existence,…

High Energy Physics - Theory · Physics 2014-09-12 Andrew Singleton

We construct an effective N=1 superfield description of five-dimensional conformal supergravity. By the use of this description, we reinterpret some physical systems such as Scherk-Schwarz supersymmetry breaking from the conformal…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hiroyuki Abe , Yutaka Sakamura

This paper describes a fully covariant approach to harmonic superspace. It is based on the conformal superspace description of conformal supergravity and involves extending the supermanifold M^{4|8} by the tangent bundle of CP^1. The…

High Energy Physics - Theory · Physics 2017-11-15 Daniel Butter

We use a microscopic model to calculate properties of the supercurrent carried by chiral edge states of a quantum Hall weak link. This "chiral" supercurrent is qualitatively distinct from the usual Josephson supercurrent in that it cannot…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Yahya Alavirad , Junhyun Lee , Ze-Xun Lin , Jay D. Sau

Higher-derivative operators are central elements of any effective field theory. In supersymmetric theories, these operators include terms with derivatives in the K\"ahler potential. We develop a toolkit for coupling such supersymmetric…

High Energy Physics - Theory · Physics 2015-05-30 Daniel Baumann , Daniel Green

Chiral/self-dual restrictions of various super Yang-Mills and supergravity theories in (2,2) dimensions are described. These include the N=1 supergravity with a cosmological term and the N=1 new minimal supergravity theory. In the latter…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin

Some recently proposed definitions of Jackiw-Teitelboim gravity and supergravities in terms of combinations of minimal string models are explored, with a focus on physics beyond the perturbative expansion in spacetime topology. While this…

High Energy Physics - Theory · Physics 2021-02-24 Clifford V. Johnson

We develop a general formalism to study the three-point correlation functions of conserved higher-spin supercurrent multiplets $J_{\alpha(r) \dot{\alpha}(r)}$ in 4D ${\cal N}=1$ superconformal theory. All the constraints imposed by ${\cal…

High Energy Physics - Theory · Physics 2022-12-21 Evgeny I. Buchbinder , Jessica Hutomo , Gabriele Tartaglino-Mazzucchelli

We formulate off-shell N=1 superconformal higher spin multiplets in four spacetime dimensions and briefly discuss their coupling to conformal supergravity. As an example, we explicitly work out the coupling of the superconformal gravitino…

High Energy Physics - Theory · Physics 2017-12-01 Sergei M. Kuzenko , Ruben Manvelyan , Stefan Theisen

We construct a generalization of Poisson-Chern-Simons theory, defined on any supermanifold equipped with an appropriate filtration of the tangent bundle. Our construction recovers interacting eleven-dimensional supergravity in Cederwall's…

Mathematical Physics · Physics 2024-12-04 Fabian Hahner , Ingmar Saberi

N=6 conformal supergravity in three dimensions is studied in an off-shell component field formulation. We obtain local symmetry transformation laws and a Lagrangian of the conformal supergravity multiplet. We then couple it to the ABJM…

High Energy Physics - Theory · Physics 2015-06-16 M. Nishimura , Y. Tanii

We consider a family of $\mathcal{N}=2$ superconformal field theories in four dimensions, defined as $\mathbb{Z}_q$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a…

High Energy Physics - Theory · Physics 2023-01-11 Francesco Galvagno , Michelangelo Preti

We present a novel supersymmetric solution to a nonlinear sigma model coupled to supergravity. The solution represents a static, supersymmetric, codimension-two object, which is different to the familiar cosmic strings. In particular, we…

High Energy Physics - Theory · Physics 2016-09-06 S. L. Parameswaran , G. Tasinato , I. Zavala

The formalism to determine (conformal) isometries of a given curved superspace was elaborated almost two decades ago in the context of the old minimal formulation for N=1 supergravity in four dimensions (4D). This formalism is universal,…

High Energy Physics - Theory · Physics 2015-06-12 Sergei M. Kuzenko

Superconformal Ward identities for N=1 supersymmetric quantum field theories in four dimensions are convenienty obtained in the superfield formalism by combining diffeomorphisms and Weyl transformations on curved superspace. Using this…

High Energy Physics - Theory · Physics 2009-10-31 Johanna Erdmenger , Christian Rupp