29 research outputs found
Zero-branes and the symplectic hypermultiplets
We study the scalar fields of the five-dimensional N=2 hypermultiplets using
the method of symplectic covariance developed in previous work. For static
spherically symmetric backgrounds, we show that exactly two possibilities
exist. One of them is a Bogomol'nyi-Prasad-Sommerfeld (BPS) zero-brane carrying
charge under the hypermultiplets. We find an explicitly symplectic solution of
the fields in this background and derive the conditions required for a full
spacetime understanding
Five dimensional 2-branes and the universal hypermultiplet
We present a discussion of black 2-branes coupled to the fields of the
universal hypermultiplet of ungauged N=2 supergravity theory in five
dimensions. Using a general ansatz dependent on a spherically symmetric
harmonic function, we show that there are exactly two such solutions, both of
which can be thought of as arising from the dimensional reduction of either M2-
or M5-branes over special Lagrangian cycles of a Calabi-Yau 3-fold, confirming
previous results. By relaxing some of the constraints on the ansatz, we proceed
to find a more general solution carrying both M-brane charges and discuss its
properties, as well as its relationship to Euclidean instantons.Comment: In v2 the paper was completely rewritten, errors fixed and notation
improved. To appear in Nuclear Physics
Calibrated brane solutions of M-theory
Close studies of the solitonic solutions of D=11 N=1 supergravity theory
provide a deeper understanding of the elusive M-theory and constitute steps
towards its final formulation. In this work, we propose the use of calibration
techniques to find localized intersecting brane solutions of the theory. We
test this hypothesis by considering Kahler and special Lagrangian calibrations.
We also discuss the interpretation of some of these results as branes wrapped
or reduced over supersymmetric cycles of Calabi-Yau manifolds and we find the
corresponding solutions in D=5 N=2 supergravity.Comment: Ph.D dissertation, 153 pages, 1 figur
Split-complex representation of the universal hypermultiplet
Split-complex fields usually appear in the context of Euclidean
supersymmetry. In this paper, we propose that this can be generalized to the
non-Euclidean case and that, in fact, the split-complex representation may be
the most natural way to formulate the scalar fields of the five dimensional
universal hypermultiplet. We supplement earlier evidence of this by studying a
specific class of solutions and explicitly showing that it seems to favor this
formulation. We also argue that this is directly related to the symplectic
structure of the general hypermultiplet fields arising from non-trivial
Calabi-Yau moduli. As part of the argument, we find new explicit instanton and
3-brane solutions coupled to the four scalar fields of the universal
hypermultiplet