Doubly elliptic strings on the (anti-)de Sitter manifold

TL;DR

This paper introduces a new class of elliptic-like string solutions on constant curvature manifolds, connecting Jacobi theta function identities and lightcone geometry in a novel way.

Contribution

It presents a novel class of elliptic-like string solutions on (anti-)de Sitter manifolds, linking mathematical identities and geometric structures.

Findings

New elliptic-like string solutions on constant curvature manifolds

Connections between Jacobi theta function identities and string geometry

Insights into lightcone geometry in higher dimensions

Abstract

We present a new class of elliptic-like strings on two-dimensional manifolds of constant curvature. Our solutions are related to a class of identities between Jacobi theta functions and to the geometry of the lightcone in one (spacelike) dimension more.