Abstract
We describe a simple method of extending AdS5 black string solutions of 5d gauged supergravity in a supersymmetric way by addition of Wilson lines along a circular direction in space. When this direction is chosen along the string, and due to the specific form of 5d supergravity that features Chern-Simons terms, the existence of magnetic charges automatically generates conserved electric charges in a 5d analogue of the Witten effect. Therefore we find a rather generic, model-independent way of adding electric charges to already existing solutions with no backreaction from the geometry or breaking of any symmetry. We use this method to explicitly write down more general versions of the Benini-Bobev black strings [1, 2] and comment on the implications for the dual field theory and the similarities with generalizations of the Cacciatori-Klemm black holes [3] in AdS4.
Highlights
We describe a simple method of extending AdS5 black string solutions of 5d gauged supergravity in a supersymmetric way by addition of Wilson lines along a circular direction in space
When this direction is chosen along the string, and due to the specific form of 5d supergravity that features Chern-Simons terms, the existence of magnetic charges automatically generates conserved electric charges in a 5d analogue of the Witten effect
We find a rather generic, model-independent way of adding electric charges to already existing solutions with no backreaction from the geometry or breaking of any symmetry. We use this method to explicitly write down more general versions of the Benini-Bobev black strings [1, 2] and comment on the implications for the dual field theory and the similarities with generalizations of the Cacciatori-Klemm black holes [3] in AdS4
Summary
It is straightforward to write down a generalization of the Benini-Bobev (BB) black strings [1, 2] that put together earlier solutions [7, 9,10,11,12,13]. The bosonic fields in the solution, already adding the Wilson lines, are given by: ds2 = e2f(r) −dt2 + dz2 + dr2 + e2g(r) dσΣ2 ,. The full flow is given in terms of the functions f (r), g(r), φ1,2(r) that were found numerically in [1, 2] and are fully determined by the magnetic charges pI (or aI in the notation of [1, 2]). These satisfy a further constraint imposed by supersymmetry, p1 + p2 + p3 = −κ ,.
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