Fermionic Spectrum With Spontaneous Symmetry Breaking

Investigating the Effects of Spontaneous Symmetry Breaking on the Fermionic Spectrum in Gravity Duals

Abstract

These gravity duals are amenable to include fermionic fields, allowing for the investigation offermionic excitations in the dual system. Research on Fermi surfaces using holography was originallypublished in. We've looked at the spectral function while considering fermions that emerge fromsupergravity theory. It turns out that the system can tolerate a gapped spectrum. As can be seen fromthe dual field theory analysis, the gapped spectrum is caused by fermionic operators involving bosonswith a non-zero expectation value. We have evaluated fermions of a single sector against this domainwall and investigated the dispersion relation of their modes. In the positive zone, the dispersion relationis hyperbolic for smaller fermion charges, leading to a gapped spectrum.