Zero-branes and the symplectic hypermultiplets

2015

Class. Quantum Grav.

We study the embedding of flat BPS 3-branes in five dimensional N = 2 supergravity theory.We derive the branes' dynamical equations as well as general expressions for the hypermultiplet fields then focus on a single brane and study its time evolution. It is shown that the brane's Hubble parameter correlates with the moduli of the underlying manifold's complex structure.For certain particular solutions, the moduli seem to exhibit an instability; being large valued at early times then rapidly decaying to either zero or some convergent constant value. The possibility of extending these results to the cosmology of our universe is implied and briefly discussed. Our results are in line with the production and decay of heavy moduli in the early universe, as is currently believed in the literature.

“…The origin of these identities lies in special Kähler geometry. In our previous work [35], we derived the following useful formulae:…”

Section: = 5  ¼ 2 Supergravity With Hypermultipletsmentioning

confidence: 99%

BPS brane cosmology in 𝒩 = 2 supergravity

2015

Class. Quantum Grav.

“…These are p = 0, 1. We have previously studied the zero-brane case [15]. We now present the case of the one-brane.…”

Section: Analysis and Resultsmentioning

confidence: 99%

“…While a complete solution requires full knowledge of at least a metric on M C , study of these equations could further specify this and similar solutions (such as [15]). …”

Section: Analysis and Resultsmentioning

confidence: 99%

“…These are full solutions only in the symplectic sense, written in terms of symplectic basis vectors and invariants. In [15] we applied the symplectic method in an effort to classify general hypermultiplet solutions in backgrounds of maximal symmetry (spherically symmetric backgrounds etc), and showed that exactly two cases can arise. The first case, studied in the aforementioned paper, is that of BPS zero-branes.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

BPS one-branes in five dimensions

2013

Class. Quantum Grav.

In a recent paper, we studied the scalar fields of the five dimensional N = 2 hypermultiplets using the method of symplectic covariance. For static spherically symmetric backgrounds, we showed that exactly two possibilities exist and detailed one of them. In this paper, we present the second case: Bogomol'nyi-Prasad-Sommerfield (BPS) one-branes 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. * moataz.emam@cortland.edu I IntroductionStudies of N = 2 supergravity theories in four as well as five dimensions usually focus on the vector and/or tensor multiplet regimes. This is due to the fact that their underlying special Kähler geometry is very well understood (see for example [1,2,3,4,5,6,7,8] and references within). On the other hand, solutions in the hypermultiplets sector are rare, due in part to the mathematical complexity involved, since the hypermultiplets generally parameterize quaternionic manifolds [9].However, it was pointed out some years ago that due to the so-called c-map, the hypermultiplets in D = 5 for instance can be related to the much better understood D = 4 vector multiplets, and that the methods of special geometry, developed for the latter, can be applied to the former [10].Based on this observation, some hypermultiplet constructions in instanton and certain two-brane backgrounds were found and studied (last reference and [11,12]). More recently, we argued in [13]

“…Another direction of possible future research is generalizing this model to one with the full set of hypermultiplet fields. Based on previous experience, the presence of nontrivial complex structure moduli of the underlying Calabi-Yau submanifold tends to change the allowed metrics and properties of the solutions (for example, compare solutions found in [16] and [22]). We also showed that a second solution is possible based on the choice of a dynamic bulk (ḃ = 0).…”

Section: Discussionmentioning

confidence: 99%

The five dimensional universal hypermultiplet and the cosmological constant problem

Canestaro

2013

Physics Letters B

Self Cite

We model the universe as a 3-brane embedded in five dimensional spacetime with N = 2 supersymmetry. The presence of the scalar fields of the universal hypermultiplet in the bulk results in a positive pressure effectively reducing the value of the cosmological constant and thereby providing a possible answer as to why the measured value of the cosmological constant is many orders of magnitude smaller than predicted from the vacuum energy. The solution allows for any number of parallel branes to exist and relates their cosmological constants (as well as matter densities and radiation pressures) to the value of the dilaton in the extra dimension.The results we find can be thought of as first order approximations, satisfying supersymmetry breaking and the Bogomol'nyi-Prasad-Sommerfield (BPS) conditions in the bulk only.