I review some recent progresses in counting the number of microstates of AdS
supersymmetric black holes in dimension equal or greater than four using holography. The …

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For 3-dimensional field theories with\(\mathcal {N}= 2\) supersymmetry the Euclidean path
integrals on the three-sphere can be calculated using the method of localization; they …

Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate
relationship between Sasakian and Kähler geometries, especially when the Kähler structure …

We describe a technique which enables one to quickly compute an infinite number of toric
geometries and their dual quiver gauge theories. The central object in this construction is …

The conjectured F-theorem for three-dimensional field theories states that the finite part of
the free energy on S 3 decreases along RG trajectories and is stationary at the fixed points …

We develop a systematic and efficient method of counting single-trace and multi-trace BPS
operators with two supercharges, for world-volume gauge theories of N D-brane probes for …

We study a variational problem whose critical point determines the Reeb vector field for a
Sasaki–Einstein manifold. This extends our previous work on Sasakian geometry by lifting …

A bstract We construct supersymmetric AdS 5× Σ solutions of D= 7 gauged supergravity,
where Σ is a two-dimensional orbifold known as a spindle. These uplift on S 4 to solutions of …

A bstract We explain how equivariant localization may be applied to AdS/CFT to compute
various BPS observables in gravity, such as central charges and conformal dimensions of …