The M2-brane over the twisted torus with punctures

TL;DR

This paper formulates the bosonic Hamiltonian of an M2-brane compactified on a twice punctured torus, exploring different target space metrics and analyzing their properties to extend previous work.

Contribution

It introduces a new approach to the M2-brane Hamiltonian on a punctured torus with alternative target space metrics, expanding the understanding of its properties.

Findings

Different metric choices affect the Hamiltonian's properties

Analysis reveals new features of the M2-brane on punctured tori

Extension of previous formulations to more general metrics

Abstract

We present the formulation of the bosonic Hamiltonian M2-brane compactified on a twice punctured torus following the procedure proposed in \cite{mpgm14}. In this work we analyse two possible metric choice, different from the one used in \cite{mpgm14}, over the target space and study some of the properties of the corresponding Hamiltonian.