Floating JMaRT

Abstract

We define a new partially solvable system of equations that parametrises solutions to six-dimensional N = (1, 0) ungauged supergravity coupled to tensor multiplets. We obtain this system by applying a series of dualities on the known floating brane system, imposing that it allows for the JMaRT solution. We construct an explicit multi-centre solution generalising the JMaRT solution, with an arbitrary number of additional BPS centres on a line. We describe explicitly the embedding of the JMaRT solution in this system in five dimensions.

Non-BPS multi-bubble microstate geometries

“…The first step in this direction was the discovery, by two of the present authors, of a partially-solvable system of differential equations that describes solutions with nonextremal asymptotic structure, and includes the JMaRT solutions [45].…”

“…In section 2 we give a self-contained exposition of the system of [45] in its six-dimensional incarnation, describing solutions of N = (1, 0) supergravity in six dimensions coupled to a single tensor multiplet, or of Type IIB supergravity compactified on T 4 or K3. We further present a class of solutions to this system, which in principle allows for an arbitrary number of Gibbons-Hawking centers to be added to the JMaRT bolt.…”

“…To construct non-supersymmetric solutions to this theory, we use the partially-solvable system of differential equations discovered in [45], whose solutions automatically solve the equations of motion of supergravity. This system was found by considering the threedimensional non-linear sigma model over a para-quaternionic symmetric space that one obtains after dimensional reduction of N = (1, 0) supergravity in six dimensions along one time-like and two space-like isometries.…”

“…It was shown in [45] that these potentials solve eqs. (2.1) and (2.2) provided that H is a solution to the following equation on the base:…”

“…6 Note the redefinition with a factor of 4 with respect to [45] in order for EI to coincide with the charges in the BPS limit.…”