The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5

TL;DR

This paper analyzes fermionic fluctuations in superstring theory on AdS_5 x S^5, deriving spectra for SU(1|2) and SU(2|2) sectors using gauge-fixed actions and fermionic redefinitions.

Contribution

It provides a detailed derivation of the fermionic spectra in SU(1|2) and SU(2|2) sectors from superstring theory in AdS_5 x S^5, including a Lorentz-invariant Dirac fermion formulation.

Findings

Derived the fermionic spectrum for the SU(1|2) sector.

Analyzed the fermionic spectrum for the SU(2|2) sector.

Expressed the fermionic action in a two-dimensional Lorentz-invariant form.

Abstract

For the \kappa-symmetry gauge fixed superstring action in AdS_5 x S^5 we consider the fermionic fluctuations over a circular bosonic string background with two angular momenta and two winding numbers in S^5. The SU(2)-type redefinitions of fermionic fields and the first-string limit generate a truncated fermionic action for the SU(1|2) sector. It is expressed in a two-dimensional Lorentz-invariant form of a massive Dirac fermion and the plane-wave spectrum for the fermionic excitations is derived. The fermionic spectrum for the SU(2|2) sector is also analyzed.