A supersymmetric color superconductor from holography

Faedo, Antón F.; Mateos, David; Pantelidou, Christiana; Tarrío, Javier

Abstract

We use holography to study d = 4, N=4 , SU(Nc) super Yang-Mills coupled to Nf ≪ Nc quark flavors. We place the theory at finite isospin density nI by turning on an isospin chemical potential μI = Mq, with Mq the quark mass. We also turn on two R-symmetry charge densities n1 = 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 of Nf D7-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 if nI ≪ μ I 3 , 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.

Citation

Faedo, A. F., Mateos, D., Pantelidou, C., & Tarrío, J. (2019). A supersymmetric color superconductor from holography. Journal of High Energy Physics, 2019(5), Article 106. https://doi.org/10.1007/jhep05%282019%29106

• Journal Article Type: Article
• Acceptance Date: May 15, 2019
• Online Publication Date: May 20, 2019
• Publication Date: May 31, 2019
• Deposit Date: May 29, 2019
• Publicly Available Date: May 29, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2019
• Issue: 5
• Article Number: 106
• DOI: https://doi.org/10.1007/jhep05%282019%29106