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An overview of matter-coupled ${\cal N}=2$ supergravity theories with 8 real supercharges, in 4,5 and 6 dimensions is given. The construction of the theories by superconformal methods is explained from basic principles. Special geometry is…

High Energy Physics - Theory · Physics 2020-04-27 Edoardo Lauria , Antoine Van Proeyen

We discuss super Schrodinger algebras with less supercharges from N=4 superconformal algebra psu(2,2|4). Firstly N=2 and N=1 superconformal algebras are constructed from the psu(2,2|4) via projection operators. Then a super Schrodinger…

High Energy Physics - Theory · Physics 2010-02-03 Makoto Sakaguchi , Kentaroh Yoshida

With the general aim to classify BPS solutions in N=2, D=5 supergravities interacting with an arbitrary number of vector, tensor and hypermultiplets, here we begin considering the most general electrostatic, spherical-symmetric BPS…

High Energy Physics - Theory · Physics 2014-11-18 Sergio L. Cacciatori , Alessio Celi , Daniela Zanon

We construct supergravity theories in twelve and thirteen dimensions with the respective signatures (10,2) and (11,2) with some technical details. Starting with N=1 supergravity in 10+2 dimensions coupled to Green-Schwarz superstring, we…

High Energy Physics - Theory · Physics 2009-10-31 Hitoshi Nishino

In this paper, we classify solvable Lie algebras of dimensions $\leq 8$ endowed with a nondegenerate invariant symmetric bilinear form over an algebraically closed field. This classification (up to isometrically isomorphisms) is mainly…

Rings and Algebras · Mathematics 2017-02-10 Minh Thanh Duong , Rosane Ushirobira

The form of realistic space-time supersymmetry is fixed, by Haag-Lopuszanski-Sohnius theorem, either to the familiar form of Poincare supersymmetry or, in massless case, to that of conformal supersymmetry. We question necessity for such…

High Energy Physics - Theory · Physics 2007-07-23 Igor Salom

We investigate the twelve-dimensional gauge-Higgs unification models with an eight-dimensional coset space. For each model, we apply the coset space dimensional reduction procedure and examine the particle contents of the resulting…

High Energy Physics - Phenomenology · Physics 2023-05-03 Kento Asai , Joe Sato , Ryosuke Suda , Yasutaka Takanishi , Masaki J. S. Yang

New non-abelian supersymmetric generalizations of the four-dimensional Born-Infeld action are constructed in N=1 and N=2 superspace, to all orders in the gauge superfield strength. The proposed actions are dictated by simple (manifestly…

High Energy Physics - Theory · Physics 2009-10-31 Sergei V. Ketov

We give a detailed discussion of the matching of the BPS states of heterotic, type I and type I' theories in d=9 for general backgrounds. This allows us to explicitly identify these (composite) brane states in the type I' theory that lead…

High Energy Physics - Theory · Physics 2009-10-30 D. Matalliotakis , H. P. Nilles , S. Theisen

We define the notion of a complete N=2 supersymmetric theory in 4 dimensions as a UV complete theory for which all the BPS central charges can be arbitrarily varied as we vary its Coulomb branch parameters, masses, and coupling constants.…

High Energy Physics - Theory · Physics 2013-04-12 Sergio Cecotti , Cumrun Vafa

We present a survey of the computation of the BPS spectrum of a general four-dimensional N=2 supersymmetric gauge theory in terms of the Representation Theory of quivers with superpotential. We focus on SYM with a general gauge group G…

High Energy Physics - Theory · Physics 2014-12-22 Sergio Cecotti

We chart the classical moduli space of heterotic strings with broken supersymmetry a la Scherk-Schwarz and gauge group rank reduced by 8 in eight dimensions. This space consists of four connected components, each with its own characteristic…

High Energy Physics - Theory · Physics 2025-11-04 Bernardo Fraiman , Héctor Parra de Freitas

We extend the study of BPS equations in ${\cal N}=1/2$ super Yang-Mills theory to the case of models with gauge symmetry breaking. We first consider an Abelian gauge-Higgs supersymmetric Lagrangian in $d=4$ dimensional Euclidean space…

High Energy Physics - Theory · Physics 2009-11-10 L. G. Aldrovandi , D. H. Correa , F. A. Schaposnik , G. A. Silva

The half-maximal supergravity theories in three dimensions, which have local $SO(8)\xz SO(n)$ and rigid SO(8,n) symmetries, are discussed in a superspace setting starting from the superconformal theory. The on-shell theory is obtained by…

High Energy Physics - Theory · Physics 2015-06-04 J. Greitz , P. S. Howe

Supersymmetry is deeply related to division algebras. Nonabelian Yang-Mills fields minimally coupled to massless spinors are supersymmetric if and only if the dimension of spacetime is 3, 4, 6 or 10. The same is true for the Green-Schwarz…

High Energy Physics - Theory · Physics 2016-05-04 John C. Baez , John Huerta

We investigate the existence of solutions with 16 supersymmetries to Type IIB supergravity on a spacetime of the form $AdS_{2}\times S^{5}\times S^{1}$ warped over a two-dimensional Riemann surface $\Sigma$. The existence of the Lie…

High Energy Physics - Theory · Physics 2021-03-23 David Corbino

We discuss supersymmetry in twelve dimensions and present a covariant supersymmetric action for a brane with worldsheet signature (2,2), called a super (2+2)-brane, propagating in the osp(64,12) superspace. This superspace is explicitly…

High Energy Physics - Theory · Physics 2015-06-26 S. F. Hewson , M. J. Perry

We study static BPS black hole horizons in four dimensional N=2 gauged supergravity coupled to $n_v$-vector multiplets and with an arbitrary cubic prepotential. We work in a symplectically covariant formalism which allows for both electric…

High Energy Physics - Theory · Physics 2015-06-16 Nick Halmagyi

We discuss toroidal compactifications of maximal supergravity coupled to an extended configuration of BPS states which transform consistently under the U-duality group. Under certain conditions this leads to theories that live in more than…

High Energy Physics - Theory · Physics 2015-06-25 Bernard de Wit

Some multiple hypergeometric transformation formulas arising from the balanced du- ality transformation formula are discussed through the symmetry. Derivations of some transformation formulas with different dimensions are given by taking…

Classical Analysis and ODEs · Mathematics 2016-11-25 Yasushi Kajihara
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