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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 consider a reducible ${\cal N}=4$, $d=1$ multiplet described by a real superfield as a coupling of the mirror ${\bf (1, 4, 3)}$ and ordinary ${\bf (3, 4, 1)}$ multiplets. Employing this so-called "long multiplet", we construct a coupled…

High Energy Physics - Theory · Physics 2024-12-11 Stepan Sidorov

An analysis of a $SU(2)_L \times SU(2)_R$ invariant, supersymmetric effective theory is given. The resulting leading and next to leading independent invariants are stated in terms of the underlying Killing vectors and K\"ahler potential.…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. A. Walker

In both ${\cal N}=1$ and ${\cal N}=2$ supersymmetry, it is known that $\mathsf{Sp}(2n, {\mathbb R})$ is the maximal duality group of $n$ vector multiplets coupled to chiral scalar multiplets $\tau (x,\theta) $ that parametrise the Hermitian…

High Energy Physics - Theory · Physics 2020-08-26 Sergei M. Kuzenko

The "long" indecomposable N=2, d=1 multiplet (2, 4, 2) defined in arXiv:1503.05537 [hep-th] as a deformation of the pair of chiral multiplets (2, 2, 0) and (0, 2, 2) by a number of the mass-dimension parameters is described in the…

High Energy Physics - Theory · Physics 2016-04-20 E. Ivanov , S. Sidorov

We focus on the superfield formulation for a N = 2 vector supermultiplet in two dimensional spacetime and explicitly show that the Wess-Zumino gauge condition for a N = 2 superfield is compatible with familiar SUSY (plus U(1) gauge)…

High Energy Physics - Theory · Physics 2008-11-26 Kazunari Shima , Motomu Tsuda

The properties of Dirac gamma matrices in a four-dimensional space-time with the $(2,2)$ signature are studied. The basic spinors are classified, and the existence of Majorana-Weyl spinors is noted. Supersymmetry in $2 + 2$ dimensions is…

High Energy Physics - Theory · Physics 2012-08-27 S. V. Ketov , S. J. Gates, , H. Nishino

We present a manifestly Lorentz invariant and supersymmetric component field action for $D = 10$, type $IIB$ supergravity, using a newly developed method for the construction of actions with chiral bosons, which implies only a single scalar…

High Energy Physics - Theory · Physics 2016-09-06 Gianguido Dall'Agata , Kurt Lechner , Mario Tonin

The geometry of (2,1) supersymmetric sigma-models is reviewed and the conditions under which they have isometry symmetries are analysed. Certain potentials are constructed that play an important role in the gauging of such symmetries. The…

High Energy Physics - Theory · Physics 2011-07-19 M. Abou Zeid , C. M. Hull

We construct a general Lagrangian, quadratic in the field strengths of $n$ abelian gauge fields, which interpolates between BI actions of n abelian vectors and actions, quadratic in the vector field-strengths, describing Maxwell fields…

High Energy Physics - Theory · Physics 2015-06-23 Laura Andrianopoli , Riccardo D'Auria , Mario Trigiante

We construct an iterative procedure to compute the vertex operators of the closed superstring in the covariant formalism given a solution of IIA/IIB supergravity. The manifest supersymmetry allows us to construct vertex operators for any…

High Energy Physics - Theory · Physics 2009-11-10 P. A. Grassi , L. Tamassia

First we characterize all the polynomial vector fields in $\R^4$ which have the Clifford torus as an invariant surface. After we study the number of invariant meridians and parallels that such polynomial vector fields can have in function…

Dynamical Systems · Mathematics 2017-07-28 Jaume Llibre , Adrian C. Murza

We discuss the conditions for extra supersymmetry of the N=(2,2) supersymmetric vector multiplets described in arXiv:0705.3201 [hep-th] and in arXiv:0808.1535 [hep-th]. We find (4,4) supersymmetry for the semichiral vector multiplet but not…

High Energy Physics - Theory · Physics 2011-03-22 M. Goteman , U. Lindstrom , M. Rocek , I. Ryb

We use the matrix model to describe the N=2 SO(N)/Sp(N) supersymmetric gauge theories with massive hypermultiplets in the fundamental representation. By taking the tree level superpotential perturbation made of a polynomial of a scalar…

High Energy Physics - Theory · Physics 2010-02-05 Changhyun Ahn , Soonkeon Nam

In the framework of the prepotential description of superspace two-dimensional $(2,2)$ supergravity, we discuss the construction of invariant integrals. In addition to the full superspace measure, we derive the measure for chiral…

High Energy Physics - Theory · Physics 2009-10-28 M. T. Grisaru , M. E. Wehlau

Using non chiral supersymmetry in 6D space time, we compute the explicit expression of the metric the scalar manifold $SO(1,1) \times \frac{SO(4,20) }{SO(4) \times SO(20)}$ of the 10D type IIA superstring on generic K3. We consider as well…

High Energy Physics - Theory · Physics 2008-11-26 El Hassan Saidi

We review computations of joint invariants on a linear symplectic space, discuss variations for an extension of group and space and relate this to other equivalence problems and approaches, most importantly to differential invariants.

Differential Geometry · Mathematics 2020-11-24 Fredrik Andreassen , Boris Kruglikov

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

On the basis of the local n=2 supersymmetry we construct the supersymmetric action for a set of complex scalar supermultiplets in the FRW model. This action corresponds to the dilaton-axion and chiral components of supergravity theory.

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. I. Tkach , J. J. Rosales

We study hyperkahler cones and their corresponding quaternion-Kahler spaces. We present a classification of 4(n-1)-dimensional quaternion-Kahler spaces with n abelian quaternionic isometries, based on dualizing superconformal tensor…

High Energy Physics - Theory · Physics 2009-11-07 Bernard de Wit , Martin Rocek , Stefan Vandoren