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An action principle for the Neveu-Schwarz-Ramond string and other systems using supernumerary variables

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>4/04/1977
<mark>Journal</mark>Nuclear Physics B
Issue number2
Volume121
Number of pages19
Pages (from-to)307-325
Publication StatusPublished
<mark>Original language</mark>English

Abstract

An action principle which gives rise to the equations of motion and boundary conditions for the free relativistic string with fermionic degrees of freedom is presented. With the aid of extra variables, some of which are Grassmann functions, all the gauge generators are obtained as secondary constraints. The consistency of the system is demonstrated using a generalised Poisson bracket operation. The theory is quantised with Dirac brackets and the fermionic fields become elements of a Clifford algebra. The methods are also used to formulate the theory of the Klein-Gordon and Dirac point particles and the relativistic string and membrane without intrinsic spin. Under certain circumstances we show that the supernumerary variables may be removed entirely from the original Lagrangian.