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In the $N=1$ superspace, AdS$_4$ supersymmetry is realized as the non-linear super coordinate transformations. The fermionic coordinates form a faithful non-linear representation of supersymmetry on their own. By introducing an auxiliary…

High Energy Physics - Theory · Physics 2025-03-25 Chen-Xu Han , Zhao-Long Wang , Yi Yan

We study the space of supersymmetric AdS$_5$ solutions of type IIB supergravity corresponding to the conformal manifold of the dual $\mathcal{N}=1$ conformal field theory. We show that the background geometry naturally encodes a generalised…

High Energy Physics - Theory · Physics 2022-05-25 Anthony Ashmore , Michela Petrini , Edward Tasker , Daniel Waldram

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

We present expressions for the supercurrents generated by a generic $4D,~\mathcal{N}=1$ theory of complex linear superfield $\Sigma$. We verify that these expressions satisfy the appropriate superspace conservation equations. Furthermore,…

High Energy Physics - Theory · Physics 2017-03-08 P. Kočí , K. Koutrolikos , R. von Unge

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

A discussion of the number of degrees of freedom, and their dynamical properties, in higher-derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

Using the off-shell formulation for ${\cal N}=2$ conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge…

High Energy Physics - Theory · Physics 2022-01-19 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

Double field theory and exceptional field theory are formulations of supergravity that make certain dualities manifest symmetries of the action. To achieve this, the geometry is extended by including dual coordinates corresponding to…

High Energy Physics - Theory · Physics 2016-10-12 Felix J. Rudolph

A new heterotic N=2 string with manifest target space supersymmetry is constructed by combining a conventional N=2 string in the right-moving sector and a Green-Schwarz-Berkovits type string in the left-moving sector. The corresponding…

High Energy Physics - Theory · Physics 2009-10-30 J. de Boer , K. Skenderis

We reduce the classification of all supersymmetric backgrounds in eleven dimensions to the evaluation of the supercovariant derivative and of an integrability condition, which contains the field equations, on six types of spinors. We…

High Energy Physics - Theory · Physics 2009-10-09 U. Gran , G. Papadopoulos , D. Roest

The formulation of 2d-dilaton theories, like spherically reduced Einstein gravity, is greatly facilitated in a formulation as a first order theory with nonvanishing bosonic torsion. This is especially also true at the quantum level. The…

High Energy Physics - Theory · Physics 2007-05-23 W. Kummer , M. Ertl , T. Strobl

Two-dimensional quantum fields in electric and gravitational backgrounds can be described by conformal field theories, and hence all the physical (covariant) quantities can be written in terms of the corresponding holomorphic quantities. In…

High Energy Physics - Theory · Physics 2008-11-26 Satoshi Iso , Takeshi Morita , Hiroshi Umetsu

The implications of N=1 superconformal symmetry for four dimensional quantum field theories are studied. Superconformal covariant expressions for two and three point functions of quasi-primary superfields of arbitrary spin are found and…

High Energy Physics - Theory · Physics 2009-02-23 Hugh Osborn

A new class of N=2 locally supersymmetric higher-derivative invariants is constructed based on logarithms of conformal primary chiral superfields. They characteristically involve a coupling to R_{\mu\nu}^2 - 1/3*R^2, which equals the…

High Energy Physics - Theory · Physics 2015-06-16 Daniel Butter , Bernard de Wit , Sergei M. Kuzenko , Ivano Lodato

We give a formulation of linearized 11D supergravity in 4D, $N=1$ superspace keeping all eleven bosonic coordinates. The fields are fluctuations around $\mathbf M=\mathbf R^{4|4}\times Y$, where $Y$ is a background Riemannian 7-manifold…

High Energy Physics - Theory · Physics 2018-01-17 Katrin Becker , Melanie Becker , Daniel Butter , Sunny Guha , William D. Linch , Daniel Robbins

We review recent developments in duality symmetric string theory. We begin with the world sheet doubled formalism which describes strings in an extended space time with extra coordinates conjugate to winding modes. This formalism is…

High Energy Physics - Theory · Physics 2014-12-10 David S. Berman , Daniel C. Thompson

A geometric formulation which describes extended supergravities in any dimension in presence of electric and magnetic sources is presented. In this framework the underlying duality symmetries of the theories are manifest. Particular…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , R. D'Auria , S. Ferrara

In the context of field theory two elements seem to be necessary to search for strong-weak coupling duality. First, a gauge theory formulation and second, supersymmetry. For gravitation these two elements are present in MacDowell-Mansouri…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , A. Nieto , O. Obregon , C. Ramirez

In the framework of superfield formalism, we demonstrate the existence of a new local, covariant, continuous and nilpotent (dual-BRST) symmetry for the BRST invariant Lagrangian density of a self-interacting two ($1 + 1$)-dimensional (2D)…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

Motivated by Ooguri and Vafa, we study superstrings in flat R^4 in a constant self-dual graviphoton background. The supergravity equations of motion are satisfied in this background which deforms the N=2 d=4 flat space super-Poincare…

High Energy Physics - Theory · Physics 2009-11-10 Nathan Berkovits , Nathan Seiberg