A supersymmetric color superconductor from holography

• DOI: 10.1007/jhep05(2019)106
• Publication Date: 2019-05-22T21:02:19Z
• Authors: Antón F. Faedo; David Mateos; Christiana Pantel...; Javier Tarrío
• Keywords: High Energy Physics - Theory; FOS: Physical sciences; QC770-798; AdS-CFT Correspondence; 01 natural sciences; Physique atomique et nucléaire; Gauge-gravity correspondence; High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; 539; 0103 physical sciences

AbstractWe use holography to studyd= 4,$$ \mathcal{N}=4 $$N=4, SU(Nc) super Yang-Mills coupled toNf≪Ncquark flavors. We place the theory at finite isospin densitynIby turning on an isospin chemical potentialμI=Mq, withMqthe quark mass. We also turn on two R-symmetry charge densitiesn1=n2. We show that the ground state is a supersymmetric, superfluid, color superconductor, namely a finite-density state that preserves a fraction of supersymmetry in which part of the global symmetries and part of the gauge symmetries are spontaneously broken. The holographic description consists ofNfD7-brane probes in AdS5× S5. The symmetry breaking is due to the dissolution of some D3-branes inside the D7-branes triggered by the electric field associated to the isospin charge. The massless spectrum contains Goldstone bosons and their fermionic superpartners. The massive spectrum contains long-lived, mesonic quasi-particles ifnI ≪ μI3, and no quasi-particles otherwise. We discuss the possibility that, despite the presence of mass scales and charge densities in the theory, conformal and relativistic invariance arise as emergent symmetries in the infrared.