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We present $\mathcal{N}=2$ superconformal $\mathsf{U}(1)$ duality-invariant models for an Abelian vector multiplet coupled to conformal supergravity. In a Minkowski background, such a nonlinear theory is expected to describe (the planar…

High Energy Physics - Theory · Physics 2022-03-03 Sergei M. Kuzenko

In this paper, we develop the mathematical formulation of metric string structures. These play a crucial role in the formulation of certain six-dimensional superconformal field theories and we believe that they also underlie potential…

High Energy Physics - Theory · Physics 2020-08-11 Christian Saemann , Lennart Schmidt

We construct the supersymmetric completion of quartic $R+R^4$-actions in the ten-dimensional effective action of the heterotic string. Two invariants, of which the bosonic parts are known from one-loop string amplitude calculations, are…

High Energy Physics - Theory · Physics 2009-10-22 M. de Roo , H. Suelmann , A. Wiedemann

We study some issues related to the effective theory of Calabi-Yau compactifications with fluxes in Type II theories. At first the scalar potential for a generic electric abelian gauging of the Heisenberg algebra, underlying all possible…

High Energy Physics - Theory · Physics 2009-11-10 Riccardo D'Auria , Sergio Ferrara , Mario Trigiante , Silvia Vaula

The non-Abelian plane waves, first found in flat spacetime by Coleman and subsequently generalized to give pp-waves in Einstein-Yang-Mills theory, are shown to be 1/2 supersymmetric solutions of a wide variety of N=1 supergravity theories…

High Energy Physics - Theory · Physics 2008-11-26 M. Cariglia , G. W. Gibbons , R. Guven , C. N. Pope

We investigate some aspects of Moyal-Weyl deformations of superspace and their compatibility with supersymmetry. For the simplest case, when only bosonic coordinates are deformed, we consider a four dimensional supersymmetric field theory…

High Energy Physics - Theory · Physics 2009-10-31 S. Ferrara , M. A. Lledó

Recently, a non-hyperelliptic curve describing the Coulomb branch of N=2 SUSY $SU(N_c)$ Yang-Mills theory with an antisymmetric tensor matter was proposed using a configuration of a single M theory five-brane. We study the singular surface…

High Energy Physics - Theory · Physics 2016-08-25 Hodaka Oda , Shigemitsu Tomizawa , Norisuke Sakai , Tadakatsu Sakai

We show how the anti-de Sitter isometries of a brane solution of supergravity theory produce superconformal invariance of their world-volume action. In this way linear as well as non-linear superconformal actions are obtained in various…

High Energy Physics - Theory · Physics 2007-05-23 Piet Claus , Renata Kallosh , Antoine Van Proeyen

We analyze the structure of a particular higher derivative correction of five-dimensional ungauged and gauged supergravity with eight supercharges. Specifically, we determine all the purely bosonic terms which are connected by the…

High Energy Physics - Theory · Physics 2008-11-26 Kentaro Hanaki , Keisuke Ohashi , Yuji Tachikawa

Within the supertwistor approach, we analyse the superconformal structure of 4D N = 2 compactified harmonic/projective superspace. In the case of 5D superconformal symmetry, we derive the superconformal Killing vectors and related building…

High Energy Physics - Theory · Physics 2008-11-26 Sergei M. Kuzenko

We apply a superspace formulation to the four-dimensional gauge theory of a massless Abelian antisymmetric tensor field of rank 2. The theory is formulated in a six-dimensional superspace using rank-2 tensor, vector and scalar superfields…

High Energy Physics - Theory · Physics 2016-12-21 Shinichi Deguchi , Bhabani Prasad Mandal

We study interacting massive N=(2,2) supersymmetric field theories in two dimensions which arise from deforming conformal field theories with a continuous spectrum. Firstly, we deform N=2 superconformal Liouville theory with relevant…

High Energy Physics - Theory · Physics 2018-08-15 Songyuan Li , Jan Troost

We study two dimensional $\mathcal{N} = (2, 2)$ Landau-Ginzburg models with tensor valued superfields with the aim of constructing large central charge superconformal field theories which are solvable using large $N$ techniques. We…

High Energy Physics - Theory · Physics 2020-01-08 Chi-Ming Chang , Sean Colin-Ellerin , Mukund Rangamani

We exploit the $6D, {\cal N}=(1,0)$ and ${\cal N}=(1,1)$ harmonic superspace approaches to construct the full set of the maximally supersymmetric on-shell invariants of the canonical dimension ${\bf d=12}$ in $6D, \,{\cal N}=(1,1)$…

High Energy Physics - Theory · Physics 2021-08-18 Serafim Buyucli , Evgeny Ivanov

We study correlation functions in five-dimensional non-Lorentzian theories with an $SU(1,3)$ conformal symmetry. Examples of such theories have recently been obtained as $\Omega$-deformed Yang-Mills Lagrangians arising from a null reduction…

High Energy Physics - Theory · Physics 2021-05-06 Neil Lambert , Arthur Lipstein , Rishi Mouland , Paul Richmond

We construct off-shell superconformal actions of hypermultiplets coupled with non-Abelian gauge multiplets in three-dimensional N = 3 and N = 4 projective superspaces. We establish the explicit embeddings of the N = 2 vector and adjoint…

High Energy Physics - Theory · Physics 2015-06-12 Masato Arai , Shin Sasaki

We consider the global aspects of the 6-dimensional $\mathcal{N}=(1, 0)$ theory arising from the coupling of the vector multiplet to the tensor multiplet. We show that the Yang-Mills field and its dual, when both are abelianized, combine to…

High Energy Physics - Theory · Physics 2019-08-23 Hisham Sati

We show how three-dimensional superconformal theories for any number N <= 8 of supersymmetries can be obtained by taking a conformal limit of the corresponding three-dimensional gauged supergravity models. The superconformal theories are…

High Energy Physics - Theory · Physics 2008-11-26 Eric A. Bergshoeff , Olaf Hohm , Diederik Roest , Henning Samtleben , Ergin Sezgin

We study the twistor formulation of the classical N=4 super Yang-Mills theory on the quadric submanifold of CP(3|3) X CP(3|3). We reformulate the twistor equations in six dimension, where the superconformal symmetry is manifest, and find a…

High Energy Physics - Theory · Physics 2010-04-05 Annamaria Sinkovics , Erik Verlinde

We consider the off-shell formulation of the 5D, $ {\cal N}$=1 super Yang-Mills and super Chern-Simons theories in harmonic superspace. Using such a formulation we develop a manifestly supersymmetric and gauge invariant approach to…

High Energy Physics - Theory · Physics 2016-01-20 I. L. Buchbinder , N. G. Pletnev