Unitarity of supersymmetric SL(2,R)/U(1) and no-ghost theorem for fermionic strings in AdS(3) x N

TL;DR

This paper proves the unitarity of certain supersymmetric models and establishes a no-ghost theorem for fermionic strings in AdS(3) x N, ensuring physical consistency in these string theories.

Contribution

It demonstrates unitarity for discrete representations of the supersymmetric SL(2,R)/U(1) coset and proves a no-ghost theorem for fermionic strings in AdS(3) x N.

Findings

Unitarity of NS supersymmetric coset SL(2,R)/U(1) established for discrete representations.

No-ghost theorem proven for fermionic strings in AdS(3) x N in the NS sector.

Validates physical consistency of string states in these backgrounds.

Abstract

The unitarity of the NS supersymmetric coset SL(2,R)/U(1) is studied for the discrete representations. The results are applied to the proof of the no-ghost theorem for fermionic strings in AdS(3) x N in the NS sector. A no-ghost theorem is proved for states in flowed discrete representations.