Emergent gauge fields in holographic superconductors
Abstract
Holographic superconductors have been studied so far in the absence of dynamical electromagnetic fields, namely in the limit in which they coincide with holographic superfluids. It is possible, however, to introduce dynamical gauge fields if a Neumanntype boundary condition is imposed on the AdSboundary. In 3 + 1 dimensions, the dual theory is a 2 + 1 dimensional CFT whose spectrum contains a massless gauge field, signaling the emergence of a gauge symmetry. We study the impact of a dynamical gauge field in vortex configurations where it is known to significantly affect the energetics and phase transitions. We calculate the critical magnetic fields H _{c1} and H _{c2}, obtaining that holographic superconductors are of Type II ( H _{c1} < H _{c2}). We extend the study to 4 + 1 dimensions where the gauge field does not appear as an emergent phenomenon, but can be introduced, by a proper renormalization, as an external dynamical field. We also compare our predictions with those arising from a GinzburgLandau theory and identify the generic properties of Abrikosov vortices in holographic models.
 Publication:

Journal of High Energy Physics
 Pub Date:
 August 2010
 DOI:
 10.1007/JHEP08(2010)033
 arXiv:
 arXiv:1005.1776
 Bibcode:
 2010JHEP...08..033D
 Keywords:

 Spontaneous Symmetry Breaking;
 AdSCFT Correspondence;
 Gauge Symmetry;
 High Energy Physics  Theory;
 Condensed Matter  Superconductivity
 EPrint:
 19 pages, 14 figures, few comments added, version published in JHEP