Smooth geometries with four charges in four dimensions

Smooth geometries with four charges in four dimensions

A class of axially symmetric, rotating four-dimensional geometries carrying D1, D5, KKmonopole and momentum charges is constructed. The geometries are found to be free of horizons and singularities, and are candidates to be the gravity duals of microstates of the (0,4) CFT. These geometries are constructed by performing singularity analysis on a suitably chosen class of solutions of six-dimensi...

Bosonization in four dimensions: The smooth way∗

I investigate bosonization in four dimensions, using the smooth bosonization scheme. I argue that the generalized chiral “phases” of the fermion field corresponding to chiral phase rotations and chiral Poincaré transformations are the appropriate degrees of freedom for bosonization. ’Chiral Poincaré transformations’ are Lorentz transformations and translations with a γ5 included in the generato...

Supersymmetry in Four Dimensions

We study four dimensional chiral N = 1 supersymmetric theories on which the scalar manifold is described by Kähler geometry and further, it can be viewed as Kähler-Ricci soliton. All couplings and solutions, namely BPS domain walls and their supersymmetric Lorentz invariant vacuums turn out to be evolved with respect to the soliton. Two models are discussed, namely N = 1 theory on Kähler-Einste...

Physically Interacting with Four Dimensions

We exploit the combination of a virtual world containing physicallyinteracting 4D objects with a multimodal haptics-driven user-interface model; the goal is to facilitate the development of accurate cognitive models enabling the visualization of 4D space. Our primary test domain supports tactile interaction with physically colliding and deformable curves and surfaces embedded in 4D, an importan...

Four-Manifolds, Geometries and Knots