arXiv subjects

Ergin Sezgin

Publications and source records attributed to Ergin Sezgin.

58 records · Page 4Linked to original sources

arXiv1997

Super Yang-Mills in (11,3) Dimensions

A supersymmetric Yang-Mills system in (11,3) dimensions is constructed with the aid of two mutually orthogonal null vectors which naturally arise in a generalized spacetime superalgebra. An obstacle encountered in an attempt to extend this result to beyond 14 dimensions is described. A null reduction of the (11,3) model is shown to yield the known super Yang-Mills model in (10,2) dimensions. An (8,8) supersymmetric super Yang-Mills system in (3,3) dimensions is obtained by an ordinary dimensional reduction of the (11,3) model, and it is suggested there may exist a superbrane with (3,3) dimensional worldvolume propagating in (11,3) dimensions.

hep-th↗

arXiv1997

New Couplings of Six-Dimensional Supergravity

We describe the couplings of six-dimensional supergravity, which contain a self-dual tensor multiplet, to $n_T$ anti-self-dual tensor matter multiplets, $n_V$ vector multiplets and $n_H$ hypermultiplets. The scalar fields of the tensor multiplets form a coset $SO(n_T,1)/SO(n_T)$, while the scalars in the hypermultiplets form quaternionic Kähler symmetric spaces, the generic example being $Sp(n_H,1)/Sp(n_H)\otimes Sp(1)$. The gauging of the compact subgroup $Sp(n_H) \times Sp(1)$ is also described. These results generalize previous ones in the literature on matter couplings of $N=1$ supergravity in six dimensions.

hep-th↗

arXiv1996

The M-Algebra

We construct a new extension of the Poincaré superalgebra in eleven dimensions which contains super one-, two- and five-form charges. The latter two are associated with the supermembrane and the superfivebrane of M-theory. Using the Maurer-Cartan equations of this algebra, we construct closed super seven-forms in a number of ways. The pull-back of the corresponding super six-forms are candidate superfivebrane Wess-Zumino terms, which are manifestly supersymmetric, and contain coordinates associated with the new charges.

hep-th↗

arXiv1996

Supersymmetric Yang-Mills Equations in 10+2 Dimensions

We present a model for supersymmetric Yang-Mills theory in 10+2 dimensions. Our construction uses a constant null vector, and leads to a consistent set of field equations and constraints. The model is invariant under generalized translations and an extra gauge transformation. Ordinary dimensional reduction to ten dimensions yields the usual supersymmetric Yang-Mills equations, while dimensional reduction to 2+2 yields supersymmetric Yang-Mills equations in which the Poincaré supersymmetry is reduced by a null vector. We also give the corresponding formulation in superspace.

hep-th↗