Some Aspects of Superstring Theory
Harish Parthasarathy · 2022
This chapter discusses the irreducible representations of the permutation group using the group algebra method and Young diagrams. It explains how this theory can be used to obtain the characters of the permuatation group and how by using the duality between the action of the unitary group in its standard tensor representation and the corresponding action of the permutation group on tensors, one can derive a formula for the generating function for the characters of the permutation group provided that one uses Weyl’s character formula for the characters of the unitary group. The superstring Lagrangian density is a quadratic form in the Bosonic and Fermionic component string fields. The corresponding string-field equations give the basic equations for the Bosonic and Fermionic strings in decoupled from.