Isometries, gaugings and N $$ \mathcal{N} $$ = 2 supergravity decoupling

We study the rigid limit of a class of hypermultiplet moduli spaces appearing in Calabi-Yau compactifications of type IIB string theory, which is induced by a local limit of the Calabi-Yau. We show that the resulting hyperkähler manifold is obtained by performing a hyperkähler quotient of the Swann bundle over the moduli space, along the isometries arising in the limit. Physically, this manifold appears as the target space of the non-linear sigma model obtained by compactification of a five-dimensional gauge theory on a torus. This allows to compute dyonic and stringy instantons of the gauge theory from the known results on D-instantons in string theory. Besides, we formulate a simple condition on the existence of a non-trivial local limit in terms of intersection numbers of the Calabi-Yau, and find an explicit form for the hypermultiplet metric including corrections from all mutually non-local D-instantons, which can be of independent interest.

Section: Discussionmentioning

confidence: 99%

Rigid limit for hypermultiplets and five-dimensional gauge theories

Alexandrov

Banerjee

Longhi

2018

“…(3.9) 15 We remind that the ordinary Christoffel symbols are γ i jk = a il 2 ∂ j a lk + ∂ k a l j − ∂ l a jk .…”

Section: The Carrollian Geometry: Connection and Curvaturementioning

confidence: 99%

“…This phenomenon is well known in supergravity, when studying the gravity decoupling limit of scalar manifolds. For this limit to be non-trivial, one has to chose an appropriate gauge (see[15,16] for a recent discussion and references).…”

mentioning

confidence: 99%

Flat holography and Carrollian fluids

Ciambelli

Marteau

Petkou

et al. 2018

Self Cite

141

149

We show that a holographic description of four-dimensional asymptotically locally flat spacetimes is reached smoothly from the zero-cosmological-constant limit of anti-de Sitter holography. To this end, we use the derivative expansion of fluid/gravity correspondence. From the boundary perspective, the vanishing of the bulk cosmological constant appears as the zero velocity of light limit. This sets how Carrollian geometry emerges in flat holography. The new boundary data are a two-dimensional spatial surface, identified with the null infinity of the bulk Ricci-flat spacetime, accompanied with a Carrollian time and equipped with a Carrollian structure, plus the dynamical observables of a conformal Carrollian fluid. These are the energy, the viscous stress tensors and the heat currents, whereas the Carrollian geometry is gathered by a two-dimensional spatial metric, a frame connection and a scale factor. The reconstruction of Ricci-flat spacetimes from Carrollian boundary data is conducted with a flat derivative expansion, resummed in a closed form in Eddington-Finkelstein gauge under further integrability conditions inherited from the ancestor anti-de Sitter set-up. These conditions are hinged on a duality relationship among fluid friction tensors and Cotton-like geometric data. We illustrate these results in the case of conformal Carrollian perfect fluids and Robinson-Trautman viscous hydrodynamics. The former are dual to the asymptotically flat Kerr-Taub-NUT family, while the latter leads to the homonymous class of algebraically special Ricci-flat spacetimes.

“…28 This is a simplistic use of the procedure described in refs. [17,18,37,38]. 29 We could as well define dimension-one fields withμ b u → b u .…”

Section: Jhep08(2018)045mentioning

confidence: 99%

“…Hence we may think that partial-breaking solutions are surrounded (in the parameter space of the solutions of a model) by N = 0 solutions. However, assuming 37) leads to the scalar potential ii. Solutions with f zzz = 0 and h = 0 are generically N = 0 vacua.…”

Section: N = 0 Minkowski Vacuamentioning

confidence: 99%

All partial breakings in $$ \mathcal{N}=2 $$ supergravity with a single hypermultiplet

Antoniadis

Derendinger

Petropoulos

et al. 2018

Self Cite

We consider partial supersymmetry breaking in N = 2 supergravity coupled to a single vector and a single hypermultiplet. This breaking pattern is in principle possible if the quaternion-Kähler space of the hypermultiplet admits (at least) one pair of commuting isometries. For this class of manifolds, explicit metrics exist and we analyse a generic electromagnetic (dyonic) gauging of the isometries. An example of partial breaking in Minkowski spacetime has been found long ago by Ferrara, Girardello and Porrati, using the gauging of two translation isometries on SO(4, 1)/SO(4). We demonstrate that no other example of partial breaking of N = 2 supergravity in Minkowski spacetime exists. We also examine partial-breaking vacua in anti-de Sitter spacetime that are much less constrained and exist generically even for electric gaugings. On SO(4, 1)/SO(4), we construct the partiallybroken solution and its global limit which is the Antoniadis-Partouche-Taylor model.