Picturechanging operators and spacetime supersymmetry
Abstract
We explore the geometrical properties of fermionic vertex operators for a NSR superstring in order to establish the connection between worldsheet and target space supersymmetries. The mechanism of picture changing is obtained as a result of imposing certain constraints on a worldsheet gauge group of the NSR superstring theory. We find that picturechanging operators of different integer ghost numbers form a polynomial ring. By using properties of the picturechanging formalism, we establish a relation between the NSR and GS string theories. We show that, up to picturechanging transformations, the stressenergy tensor of the N = 1 NSR superstring theory can be obtained from the stressenergy tensor of the N = 1 GS superstring theory in a flat background by a simple field redefinition. The equations of motion of a GS superstring are shown to be fulfilled in the NSR operator formalism; they are also shown to be invariant under κsymmetry, in terms of operator products in the NSR theory. This allows us to derive the spacetime supersymmetry transformation laws for the NSR string theory. Then, we explore the properties of the κsymmetry in the NSR formalism and find that it leads to some new relations between bosonic and fermionic correlation functions.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)00217G
 arXiv:
 arXiv:hepth/9502124
 Bibcode:
 1995NuPhB.449..159P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 24 pages