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We find a large class of supersymmetric domain wall solutions from six-dimensional $N=(2,2)$ gauged supergravity with various gauge groups. In general, the embedding tensor lives in $\mathbf{144}_c$ representation of the global symmetry…

High Energy Physics - Theory · Physics 2021-08-27 Parinya Karndumri , Patharadanai Nuchino

A superspace with manifest T-duality including Ramond-Ramond gauge fields is presented. The superspace is defined by the double nondegenerate super-Poincare algebras where Ramond-Ramond charges are introduced by central extension. This…

High Energy Physics - Theory · Physics 2015-06-23 Machiko Hatsuda , Kiyoshi Kamimura , Warren Siegel

The free (4,0) superconformal theory in 6 dimensions and its toroidal dimensional reductions are studied. The reduction to four dimensions on a 2-torus has an $SL(2,\Z)$ duality symmetry that acts non-trivially on the linearised gravity…

High Energy Physics - Theory · Physics 2010-02-03 C. M. Hull

We construct a non-relativistic limit of ten-dimensional N=1 supergravity from the point of view of the symmetries, the action, and the equations of motion. This limit can only be realized in a supersymmetric way provided we impose by hand…

High Energy Physics - Theory · Physics 2022-01-05 E. A. Bergshoeff , J. Lahnsteiner , L. Romano , J. Rosseel , C. Simsek

It is well known that the Einstein-Hilbert action in two dimensions is topological and yields an identically vanishing Einstein tensor. Consequently one is faced with difficulties when formulating a non-trivial gravity model. We present a…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Christian G. Boehmer , Erik Jensko

We analyze actions for 2D supergravities induced by chiral conformal supermatter. The latter may be thought as described at the classical level by superspace actions invariant under super-reparametrization, super-Weyl and super-Lorentz…

High Energy Physics - Theory · Physics 2009-10-22 Fiorenzo Bastianelli , Ulf Lindstrom

We suggest a dual to an $SU(2k)$ Susy gauge theory containing an antisymmetric tensor, $\nf$ fundamentals and $\nfb$ anti-fundamentals. This is done by expanding the theory into an equivalent description with two gauge groups and then…

High Energy Physics - Theory · Physics 2009-10-28 M. Berkooz

In this note we clarify some issues in six-dimensional (1,0) supergravity coupled to vector and tensor multiplets. In particular, we show that, while the low-energy equations embody tensor-vector couplings that contribute only to gauge…

High Energy Physics - Theory · Physics 2009-10-31 Fabio Riccioni , Augusto Sagnotti

We find the T-duality transformation rules for 2-dimensional (2,1) supersymmetric sigma-models in (2,1) superspace. Our results clarify certain aspects of the (2,1) sigma model geometry relevant to the discussion of T-duality. The…

High Energy Physics - Theory · Physics 2022-10-12 M. Abou-Zeid , C. M. Hull , U. Lindström , M. Roček

We express supersymmetric couplings among the vector and the tensor multiplets in six dimensions (6D) in terms of N=1 superfields. The superfield description is derived from the invariant action in the projective superspace. The obtained…

High Energy Physics - Theory · Physics 2015-08-04 Hiroyuki Abe , Yutaka Sakamura , Yusuke Yamada

We give exact solutions for a recently developed ~$N=1$~ locally supersymmetric self-dual gauge theories in $~(2+2)\-$dimensions. We give the exact solutions for an $~SL(2)$~ self-dual Yang-Mills multiplet and what we call ``self-dual…

High Energy Physics - Theory · Physics 2009-10-22 Hitoshi Nishino

A general free differential algebra encoding the anti-Higgs mechanism among two-index antisymmetric tensors and gauge vectors is analyzed at the full group theoretical level. N=2 supergravity in five dimensions coupled to tensor, vector and…

High Energy Physics - Theory · Physics 2007-05-23 Laura Andrianopoli , Riccardo D'Auria , Luca Sommovigo

The concept of self-dual supersymmetric nonlinear electrodynamics is generalized to a curved superspace of N = 1 supergravity, for both the old minimal and the new minimal versions of N = 1 supergravity. We derive the self-duality equation,…

High Energy Physics - Theory · Physics 2009-11-07 Sergei M. Kuzenko , Shane A. McCarthy

We develop a systematic method of obtaining duality symmetric actions in different dimensions. This technique is applied for the quantum mechanical harmonic oscillator, the scalar field theory in two dimensions and the Maxwell theory in…

High Energy Physics - Theory · Physics 2007-05-23 R. Banerjee , C. Wotzasek

Basics of ${\cal N}=2, 4D$ conformal and Einstein supergravities in the harmonic superspace approach are outlined. The crucial merit of this formulation consists in that the relevant off-shell supermultiplets, in particular ${\cal N}=2, 4D$…

High Energy Physics - Theory · Physics 2022-12-16 Evgeny Ivanov

We discuss the duality symmetries of Type II string effective actions in nine, ten and eleven dimensions. As a by-product we give a covariant action underlying the ten--dimensional Type IIB supergravity theory. We apply duality symmetries…

High Energy Physics - Theory · Physics 2009-10-28 Eric Bergshoeff

Supergravities in four and higher dimensions are reviewed. We discuss the action and its local symmetries of N=1 supergravity in four dimensions, possible types of spinors in various dimensions, field contents of supergravity multiplets,…

High Energy Physics - Theory · Physics 2007-05-23 Y. Tanii

We study the low-energy effective actions for gauge superfields induced by quantum N=2 and N=4 supersymmetric matter fields in three-dimensional Minkowski space. Analyzing the superconformal invariants in the N=2 superspace we propose a…

High Energy Physics - Theory · Physics 2014-11-20 I. L. Buchbinder , N. G. Pletnev , I. B. Samsonov

The linearized Einstein equations in D spacetime dimensions can be written as twisted self-duality equations expressing that the linearized curvature tensor of the graviton described by a rank-two symmetric tensor, is dual to the linearized…

High Energy Physics - Theory · Physics 2013-09-25 Claudio Bunster , Marc Henneaux , Sergio Hörtner

We observe that the Hamiltonian H = D^2, where D is the flat 4d Dirac operator in a self-dual gauge background, is supersymmetric, admitting 4 different real supercharges. A generalization of this model to the motion on a curved conformally…

High Energy Physics - Theory · Physics 2010-05-25 Maxim Konyushikhin , Andrei V. Smilga