Abstract
We consider conformal defect solutions in four dimensional N=2 gauged supergravity. These solutions are constructed as a warped product of AdS2×S1 over an interval with non-trivial electric and magnetic fields. We show for minimal gauged supergravity and for gauged supergravity with vector multiplets and abelian gauging that supersymmetric defect solutions are only possible when the geometry has a conical defect in either the bulk or the boundary metric.
Highlights
In many cases, conformal field theories contain local operators, and extended objects or defects as well
We show that the solution breaks supersymmetry if we demand that there is no conical defect singularity present in the bulk metric and the boundary metric
In Appendix C, we prove that a more general ansatz for a conformal defect starting with an AdS2 factor warped over a two dimensional Riemann surface Σ with boundary reduces to the ansatz used above, i.e. supersymmetry implies the presence of an additional U (1) isometry and the spacetime reduces to AdS2 × S1 warped over one spatial coordinate
Summary
Conformal field theories contain local operators, and extended objects or defects as well. In Appendix C, we prove that a more general ansatz for a conformal defect starting with an AdS2 factor warped over a two dimensional Riemann surface Σ with boundary reduces to the ansatz used above, i.e. supersymmetry implies the presence of an additional U (1) isometry and the spacetime reduces to AdS2 × S1 warped over one spatial coordinate. This result is in line with classification theorems found in [20, 21]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
