Supersymmetric solitons and a degeneracy of solutions in AdS/CFT
Abstract
We study Lorentzian supersymmetric configurations in D = 4 and D = 5 gauged N = 2 supergravity. We show that there are smooth 1/2 BPS solutions which are asymptotically AdS_{4} and AdS_{5} with a planar boundary, a compact spacelike direction and with a Wilson line on that circle. There are solitons where the S^{1} shrinks smoothly to zero in the interior, with a magnetic flux through the circle determined by the Wilson line, which are AdS analogues of the Melvin fluxtube. There is also a solution with a constant gauge field, which is pure AdS. Both solutions preserve half of the supersymmetries at a special value of the Wilson line. There is a phase transition between these two saddlepoints as a function of the Wilson line precisely at the supersymmetric point. Thus, the supersymmetric solutions are degenerate, at least at the supergravity level. We extend this discussion to one of the Romans solutions in four dimensions when the Euclidean boundary is S^{1}× Σ_{g} where Σ_{g} is a Riemann surface with genus g > 0. We speculate that the supersymmetric state of the CFT on the boundary is dual to a superposition of the two degenerate geometries.
 Publication:

Journal of High Energy Physics
 Pub Date:
 July 2021
 DOI:
 10.1007/JHEP07(2021)015
 arXiv:
 arXiv:2104.14572
 Bibcode:
 2021JHEP...07..015A
 Keywords:

 AdSCFT Correspondence;
 Supergravity Models;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 25 pages, 2 figures