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We perform explicitly the toroidal compactification of eleven dimensional supergravity to six dimensions and present its action in a manifestly $SO(5,5)\over SO(5)\times SO(5)$ invariant form using the recently proposed covariant…

High Energy Physics - Theory · Physics 2010-11-19 GianCarlo De Pol , Harvendra Singh , Mario Tonin

Using the harmonic superspace approach we construct the superconformal harmonic action for $\mathcal{N}=2$ Weyl supermultiplet. The fundamental objects of the theory are unconstrained analytic potentials $h^{++\alpha\dot{\alpha}},…

High Energy Physics - Theory · Physics 2025-11-21 Evgeny Ivanov , Nikita Zaigraev

Using the conformal compensator superfields of N=2 D=4 supergravity, the Type IIB S-duality transformations are expressed as a linear rotation which mixes the compensator and matter superfields. The classical superspace action for D=4…

High Energy Physics - Theory · Physics 2009-10-31 Nathan Berkovits

We present a theory of N=2 chiral supergravity in (10+2)-dimensions. This formulation is similar to N=1 supergravity presented recently using null-vectors in 12D. In order to see the consistency of this theory, we perform a simple…

High Energy Physics - Theory · Physics 2009-10-30 Hitoshi Nishino

The N-extended self-dual supergravity in the ultra-hyperbolic four-dimensional spacetime of kleinian signature (2+2) is given in the N-extended harmonic superspace. We reformulate the on-shell N-extended self-dual supergravity constraints…

High Energy Physics - Theory · Physics 2009-10-30 Sinisa Karnas , Sergei V. Ketov

We consider an ${\cal N}=1$ nonrenormalizable supersymmetric gauge theory with the superpotential quartic in the chiral matter superfields. With the help of the Slavnov's higher covariant derivative regularization it is demonstrated that…

High Energy Physics - Theory · Physics 2026-03-09 Ali Lakhal , Konstantin Stepanyantz

The effective actions for $d=2$, $N=3,4$ chiral supergravities with a linear and a non-linear gauge algebra are related to each other by a quantum reduction, the latter is obtained from the former by putting quantum currents equal to zero.…

High Energy Physics - Theory · Physics 2009-10-22 Alexander Sevrin , Kris Thielemans , Walter Troost

The off-shell actions for $\cal N$-extended conformal supergravity theories in three dimensions were formulated in [1,2] for $1\leq {\cal N} \leq 6$ using a universal approach. Each action is generated by a closed super three-form which is…

High Energy Physics - Theory · Physics 2019-06-10 Evgeny I. Buchbinder , Daniel Hutchings , Jessica Hutomo , Sergei M. Kuzenko

Effective superpotentials obtained by integrating out matter in super Yang-Mills and conformal supergravity backgrounds in N=1 SUSY theories are considered. The pure gauge and supergravity contributions (generalizing Veneziano-Yankielowicz…

High Energy Physics - Theory · Physics 2010-12-03 B. M. Gripaios

We make some considerations and remarks on D=11 supergravity and its integral form. We start from the geometrical formulation of supergravity and by means of the integral form technique we provide a superspace action that reproduces (at the…

High Energy Physics - Theory · Physics 2023-04-05 Pietro Antonio Grassi

Gauge invariant complex covariant actions for superparticles are derived from the field equations for the chiral superfields in a precise manner. The massive and massless cases in four dimensions are treated both free and in interaction…

High Energy Physics - Theory · Physics 2009-10-28 R. Marnelius , Sh. M. Shvartsman

In the recent paper arXiv:1606.02921, the two invariant actions for 6D $N=(1,0)$ conformal supergravity were constructed in superspace, corresponding to the supersymmetrization of $C^3$ and $C\Box C$. In this paper, we provide the…

High Energy Physics - Theory · Physics 2017-08-23 Daniel Butter , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

Following a recent proposal for integrable theories in higher dimensions based on zero curvature, new Lorentz invariant submodels of the principal chiral model in 2+1 dimensions are found. They have infinite local conserved currents, which…

High Energy Physics - Theory · Physics 2009-10-31 D. Gianzo , J. O. Madsen , J. Sanchez Guillen

The Liouville action emerges as the effective action of 2-d gravity in the process of path integral quantization of the bosonic string. It yields a measure of the violation of classical symmetries of the theory at the quantum level. Certain…

High Energy Physics - Theory · Physics 2007-05-23 M. Blagojevic

We consider nonanticommutative SYM theories with chiral matter in the adjoint representation of the SU(N) x U(1) gauge group. In a superspace setup and manifest background covariant approach we investigate the one-loop renormalization of…

High Energy Physics - Theory · Physics 2009-04-02 Silvia Penati , Alberto Romagnoni , Massimo Siani

Two-dimensional N=1,2 supersymmetric chiral models and their dual extensions are introduced and canonically quantized. Working within a superspace formalism, the non-manifest invariance under 2D-superPoincare' transformations is proven. The…

High Energy Physics - Theory · Physics 2009-10-31 C. P. Constantinidis , F. P. Devecchi , F. Toppan

We present various (0,2) heterotic supercurrent supermultiplets in (1+1) dimensional quantum field theories. From the minimal supercurrent supermultiplets, we deduce conditions on symmetry enhancement such as Lorentz invariance, (chiral)…

High Energy Physics - Theory · Physics 2015-06-15 Yu Nakayama

Starting from the new minimal multiplet of supergravity in $2+2$ dimensions, we construct two types of self-dual supergravity theories. One of them involves a self-duality condition on the Riemann curvature and implies the equations of…

High Energy Physics - Theory · Physics 2009-10-22 E. Bergshoeff , E. Sezgin

We present an action for $N=1$ supergravity in $10+2$ dimensions, containing the gauge fields of the $OSp(1|64)$ superalgebra, i.e. one-forms $B^{(n)}$ with $n$=1,2,5,6,9,10 antisymmetric D=12 Lorentz indices and a Majorana gravitino…

High Energy Physics - Theory · Physics 2018-03-28 Leonardo Castellani

The finite form of the $N=2$ super-Weyl transformations in the chiral and twisted-chiral irreducible formulations of the two-dimensional $N=2$ superfield supergravity are found in $N=2$ superspace. The super-Weyl anomaly of the $N=2$…

High Energy Physics - Theory · Physics 2010-04-06 Sergei V. Ketov , Sven-Olaf Moch