The $AdS_{5}xS^(5)$ fermionic model

TL;DR

This paper discusses the integrability and solvability of the conformally invariant fermionic model on the $AdS_{5}xS^{5}$ background, providing solutions via two current algebra realizations.

Contribution

It demonstrates the solvability of the fermionic model on $AdS_{5}xS^{5}$ using current algebra realizations, advancing understanding of integrable models in string theory.

Findings

The fermionic model is conformally invariant and solvable.

Solutions are expressed through two current algebra realizations.

The approach relies on well-known arguments for integrability.

Abstract

We consider the $AdS_{5}xS^(5)$ integrable model. As it turns out, relying on well known arguments, we claim that the conformally invariant fermionic model is solvable, the resulting solution given in terms of two current algebras realizations.