Tropical Branes

TL;DR

This paper introduces tropical branes, a non-relativistic analog of traditional branes, derived from quantized open string solutions in the tropical limit of topological A-models, with initial worldsheet descriptions provided.

Contribution

It proposes the concept of tropical branes as a new non-relativistic brane type within the tropical sigma model framework, and offers a preliminary worldsheet description.

Findings

Identification of tropical branes as non-relativistic counterparts of traditional branes

Connection of tropical branes to quantized open string solutions in the tropical limit

Foundation laid for future exploration of tropical branes in brane quantization

Abstract

We investigate canonically quantized open string solutions associated to the analytically continued action for the recently proposed tropical limit of topological A-type models, tropological sigma models, with various boundary conditions. These solutions naturally give rise to a non-relativistic counterpart of branes, which we name tropical branes. We provide a preliminary worldsheet description of these tropical branes, laying the groundwork for an upcoming paper that will explore the role of tropical branes in the context of brane quantization.