Hamiltonian Analyses of New Set of Dual Actions of Bosonic $p$-Branes

TL;DR

This paper conducts Hamiltonian analyses on new highly non-linear dual bosonic p-brane actions, overcoming computational challenges with innovative methods and comparing results with existing dual p-brane formulations.

Contribution

It introduces a novel Hamiltonian analysis approach for complex dual p-brane actions, addressing key computational difficulties and providing comparative insights.

Findings

Successfully performed Hamiltonian analysis on new dual p-brane actions

Developed methods to handle non-linearity in Hamiltonian procedures

Compared new results with existing dual p-brane formulations

Abstract

We make Hamiltonian analyses of the new set of dual bosonic $p$-brane (including string) actions which contain high non-linearity. The difficulties exist in two basic steps of the Hamiltonian procedure, that is, in calculating canonical momenta and in solving velocities in terms of momenta. The former difficulty can be overcome by an ADM reparametrization of induced metrics, while the latter may be circumvented by some modification to the usual Hamiltonian procedure. We also compare our results with that of the other set composed of known dual $p$-brane actions.