arXiv subjects

E. Bergshoeff

Publications and source records attributed to E. Bergshoeff.

57 records · Page 4Linked to original sources

arXiv1992

Self-Dual Supergravity Theories in 2+2 Dimensions

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 motion following from the Hilbert-Einstein type supergravity action. The other one involves a self-duality condition on a {\it torsionful} Riemann curvature with the torsion given by the field-strength of an antisymmetric tensor field, and implies the equations of motion that follow from an $R^2$-type action.

hep-th↗

arXiv1992

Spacetime Scale-Invariance and the Super p-Brane

We generalize to p-dimensional extended objects and type II superstrings a recently proposed Green-Schwarz type I superstring action in which the tension $T$ emerges as an integration constant of the equations of motion. The action is spacetime scale-invariant but its equations of motion are equivalent to those of the standard super p-brane for $T\ne 0$ and the null super p-brane for $T=0$. We also show that for $p=1$ the action can be written in ``Born-Infeld'' form.

hep-th↗

arXiv1991

N=2\ $W$-supergravity

We quantise the classical gauge theory of $N=2\ w_\infty$-supergravity and show how the underlying $N=2$ super-$w_\infty$ algebra gets deformed into an $N=2$ super-$W_\infty$ algebra. Both algebras contain the $N=2$ super-Virasoro algebra as a subalgebra. We discuss how one can extract from these results information about quantum $N=2\ W_N$-supergravity theories containing a finite number of higher-spin symmetries with superspin $s\le N$. As an example we discuss the case of quantum $N=2\ W_3$-supergravity.

hep-th↗