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The text is an essentially self-contained introduction to four-dimensional N=1 supergravity, including its couplings to super Yang-Mills and chiral matter multiplets, for readers with basic knowledge of standard gauge theories and general…

High Energy Physics - Theory · Physics 2015-06-26 Friedemann Brandt

The superspace Lagrangian formulation of N=1 supersymmetric quantum mechanics is presented. The general Lagrangian constructed out of chiral and antichiral supercoordinates containing up to two derivatives and with a canonically normalized…

High Energy Physics - Theory · Physics 2011-07-28 T. E. Clark , S. T. Love , S. R. Nowling

In a classical conformal invariant supersymmetric gauge theory, the chiral R-symmetry current, the supersymmetry current and the energy-momentum tensor constitute a supercurrent multiplet. There are two different superconformal anoamly…

High Energy Physics - Theory · Physics 2007-05-23 W. F. Chen

A general formalism to construct and improve supercurrents and source or anomaly superfields in two-derivative N=1 supersymmetric theories is presented. It includes arbitrary gauge and chiral superfields and a linear superfield coupled to…

High Energy Physics - Theory · Physics 2017-01-11 Jean-Pierre Derendinger

A concise geometrical formulation of N=4 supergravity containing an antisymmetric tensor gauge field is given in central charge superspace: graviphotons are identified in the super-vielbein on the same footing as the vierbein and the…

High Energy Physics - Theory · Physics 2009-10-31 Richard Grimm , Carl Herrmann , Annamaria Kiss

We generalize the study of higher-form-symmetries to theories with supersymmetry. Using a supergeometry formulation, we find that ordinary higher-form-symmetries nicely combine with supersymmetry to give rise to a much larger spectrum of…

High Energy Physics - Theory · Physics 2025-07-08 P. A. Grassi , S. Penati

We propose a superspace formulation of N=(1,0) conformal supergravity in six dimensions. The corresponding superspace constraints are invariant under super-Weyl transformations generated by a real scalar parameter. The known variant Weyl…

High Energy Physics - Theory · Physics 2017-02-08 William D. Linch , Gabriele Tartaglino-Mazzucchelli

We present the description in central charge superspace of N=4 supergravity with antisymmetric tensor coupled to an arbitrary number of abelian vector multiplets. All the gauge vectors of the coupled system are treated on the same footing…

High Energy Physics - Theory · Physics 2009-11-10 Sebastien Gurrieri , Annamaria Kiss

Generating supersymmetric AdS solutions in non-minimal supergravity in four dimensions is notoriously difficult. Indeed, it is a longstanding lore that such solutions exist only for old minimal supergravity. In this paper, we construct a…

High Energy Physics - Theory · Physics 2015-05-28 Daniel Butter , Sergei M. Kuzenko

Given a conserved and traceless energy-momentum tensor and a conformal Killing vector, one obtains a conserved current. We generalise this construction to superconformal theories in three, four, five and six dimensions with various amounts…

High Energy Physics - Theory · Physics 2016-04-05 Yegor Korovin , Sergei M. Kuzenko , Stefan Theisen

It is shown that conformal matter with $c_{\ssc L}\not=c_{\ssc R}$ can be consistently coupled to two-dimensional `frame' gravity. The theory is quantized, following David, and Distler and Kawai, using the derivation of their {\it ansatz}…

High Energy Physics - Theory · Physics 2009-10-22 R. C. Myers , V. Periwal

The conformal compensator formalism is a convenient and versatile representation of supergravity (SUGRA) obtained by gauge fixing conformal SUGRA. Unfortunately, practical calculations often require cumbersome manipulations of component…

High Energy Physics - Phenomenology · Physics 2012-03-08 Clifford Cheung , Francesco D'Eramo , Jesse Thaler

The projective superspace formulation for four-dimensional N = 2 matter-coupled supergravity presented in arXiv:0805.4683 makes use of the variant superspace realization for the N = 2 Weyl multiplet in which the structure group is SL(2,C) x…

High Energy Physics - Theory · Physics 2009-08-18 S. M. Kuzenko , U. Lindstrom , M. Rocek , G. Tartaglino-Mazzucchelli

Einstein-frame supergravity is accompanied by quantum correction terms because of super-Weyl transformation. The correction term consists of the field strength terms that respectively originate from gauge, gravitational, and K\"ahler…

High Energy Physics - Theory · Physics 2018-06-21 Akihisa D. -E. Tateishi

Some general features of locally supersymmetric theories (N=1 in four dimensions) involving Chern-Simons forms and antisymmetric tensors are sketched out. The relevance of the three-form multiplet both for the description of Chern-Simons…

High Energy Physics - Theory · Physics 2007-05-23 R. Grimm

Supersymmetric higher derivative gravities define superconformal field theories via the AdS/CFT correspondence. From the boundary theory viewpoint, supersymmetry implies a relation between the coefficients which determine the three point…

High Energy Physics - Theory · Physics 2011-02-28 Manuela Kulaxizi , Andrei Parnachev

We derive the torsion constraints and show the consistency of equations of motion of four-dimensional Type II supergravity in superspace, with Type II sigma model. This is achieved by coupling the four-dimensional compactified Type II…

High Energy Physics - Theory · Physics 2015-06-26 Daniel L. Nedel

We review the construction of higher-form symmetries for supersymmetric theories using a supergeometry framework. This reveals an enlarged set of topological conserved supercurrents, including Chern-Weil symmetries and new geometric…

High Energy Physics - Theory · Physics 2026-05-13 Pietro Antonio Grassi , Silvia Penati

Eleven-dimensional supergravity can be formulated in superspaces locally of the form $\mathbf X\times Y$ where $\mathbf X$ is 4D $N=1$ conformal superspace and $Y$ is an arbitrary 7-manifold admitting a $G_2$-structure. The…

High Energy Physics - Theory · Physics 2018-07-04 Katrin Becker , Melanie Becker , Daniel Butter , William D. Linch

The N-extended supersymmetric self-dual Poincar\'e supergravity equations provide a natural local description of supermanifolds possessing hyperk\"ahler structure. These equations admit an economical formulation in chiral superspace. A…

High Energy Physics - Theory · Physics 2016-09-06 Ch. Devchand , V. Ogievetsky