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Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Higashijima , Muneto Nitta

We first review the notion of a $G_2$-manifold, defined in terms of a principal $G_2$ ("gauge") bundle over a $7$-dimensional manifold, before discussing their relation to supergravity. In a second thread, we focus on associative…

Differential Geometry · Mathematics 2015-05-20 Frederik Witt

Starting with a supersymmetric U(N)xU(N) gauge theory built in N=1 superspace, a nonsupersymmetric theory is obtained by ``twisting'' the gauginos into a different representation of the group than the gauge bosons. Despite the fact that…

General Physics · Physics 2025-06-10 Scott Chapman

We construct supersymmetric solutions of theories of gauged $\mathcal{N}=1,d=5$ supergravity coupled to vector multiplets with a $\mathrm{U}(1)_{\rm R}$ Abelian (Fayet-Iliopoulos) gauging and an independent SU$(2)$ gauging associated to an…

High Energy Physics - Theory · Physics 2018-06-13 Samuele Chimento , Tomas Ortin , Alejandro Ruiperez

We formulate all the five dimensional gauged maximal supergravity theories as non-linear realisations of the semi-direct product of E_{11} and a set of generators which transform according to the first fundamental representation l of…

High Energy Physics - Theory · Physics 2010-02-03 Fabio Riccioni , Peter West

We discuss some aspects of the topological features of a non-interacting two (1+1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

We construct a pseudo-Lagrangian that is invariant under rigid $E_{11}$ and transforms as a density under $E_{11}$ generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on…

High Energy Physics - Theory · Physics 2021-07-14 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin

It is shown that the extra supersymmetry of tensionless superstring and super $p$-brane is accompanied by the presence of new bosonic gauge symmetries. It permits to use composed coordinates encoding all physical degrees of freedom of the…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Zheltukhin , D. V. Uvarov

It is well-known that gauging a finite 0-form symmetry in a quantum field theory leads to a dual symmetry generated by topological Wilson line defects. These are described by the representations of the 0-form symmetry group which form a…

High Energy Physics - Theory · Physics 2022-11-23 Lakshya Bhardwaj , Sakura Schafer-Nameki , Jingxiang Wu

Supersymmetric gauge theories, in higher dimensions compactified in an orbifold, give a natural framework to unify the gauge bosons, Higgs fields and even the matter fields in a single multiplet of the unifying gauge symmetry. The extra…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ilia Gogoladze , Tianjun Li , Yukihiro Mimura , S. Nandi

Unified N=2 Maxwell-Einstein supergravity theories (MESGTs) are supergravity theories in which all the vector fields, including the graviphoton, transform in an irreducible representation of a simple global symmetry group of the Lagrangian.…

High Energy Physics - Theory · Physics 2011-02-09 Murat Gunaydin , Marco Zagermann

We show that a quantum-mechanical N=2 supersymmetry is hidden in 4d mass spectrum of any gauge invariant theories with extra dimensions. The N=2 supercharges are explicitly constructed in terms of differential forms. The analysis can be…

High Energy Physics - Theory · Physics 2009-11-11 C. S. Lim , Tomoaki Nagasawa , Makoto Sakamoto , Hidenori Sonoda

We study supersymmetric $AdS_4\times \Sigma_2$ and $AdS_3\times \Sigma_3$ solutions in half-maximal gauged supergravity in six dimensions with $SU(2)_R\times SU(2)$ gauge group. The gauged supergravity is obtained by coupling three vector…

High Energy Physics - Theory · Physics 2018-12-31 Parinya Karndumri

We discuss gauge mediation in the case where the hidden sector is strongly coupled but, via the gauge-gravity correspondence, admits a weakly-coupled description in terms of a warped higher-dimensional spacetime. In this framework, known as…

High Energy Physics - Theory · Physics 2012-02-17 Paul McGuirk

We analyze the class of four-dimensional N = 4 supergravities obtained by gauging the axionic shift and axionic rescaling symmetries. These theories are formulated with the machinery of embedding tensors and shown to be deducible from…

High Energy Physics - Theory · Physics 2008-11-26 P. Marios Petropoulos

Duality in supersymmetric SU(N) gauge theory with a symmetric tensor is studied using the technique of deconfining and Seiberg's duality. By construction the gauge group of the dual theory necessarily becomes a product group. In order to…

High Energy Physics - Theory · Physics 2009-10-30 Tadakatsu Sakai

A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail…

High Energy Physics - Theory · Physics 2018-10-17 Bernardo Fraiman , Mariana Graña , Carmen A. Núñez

We present the higgsing of three-dimensional N=6 superconformal ABJM type theories coupled to conformal supergravity, so called topologically gauged ABJM theory, thus providing a gravitational extension of previous work on the relation…

High Energy Physics - Theory · Physics 2015-05-20 Xiaoyong Chu , Horatiu Nastase , Bengt E. W. Nilsson , Constantinos Papageorgakis

We formulate gauge theories based on Leibniz(-Loday) algebras and uncover their underlying mathematical structure. Various special cases have been developed in the context of gauged supergravity and exceptional field theory. These are based…

High Energy Physics - Theory · Physics 2020-06-23 Roberto Bonezzi , Olaf Hohm

We consider generalized diffeomorphisms on an extended mega-space associated to the U-duality group of gauged maximal supergravity in four dimensions, E_7. Through the bein for the extended metric we derive dynamical (field-dependent)…

High Energy Physics - Theory · Physics 2015-06-15 G. Aldazabal , M. Graña , D. Marqués , J. A. Rosabal