(p,q)-strings and New Spacetime Superalgebras

TL;DR

This paper develops a geometric framework for $(p,q)$-strings using superalgebras and supersymmetric currents, revealing new structures in spacetime superalgebras and their relation to duality symmetries.

Contribution

It introduces a supergroup manifold formulation for $(p,q)$-strings, incorporating $Sl(2;Z)$ symmetry and extending to higher $p$-branes.

Findings

Constructed $Sl(2;Z)$-doublet of gauge potentials as second order in supersymmetric currents.

Defined a superalgebra with fermionic generators transforming under $Sl(2;Z)$.

Discussed generalizations to higher-dimensional $p$-branes.

Abstract

We present a geometric formulation of $(p,q)$-strings in which the $Sl(2;Z)$-doublet of the two-form gauge potentials is constructed as second order in the supersymmetric currents. The currents are constructed using a supergroup manifold corresponding to the $(p,q)$-string superalgebra, which contains fermionic generators in addition to the supercharges and transforms under the $Sl(2;Z)$. The properties of the superalgebra and the generalizations to higher $p$-branes are discussed.